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707.013
|
Incompressible, quasi-rigid deformations of 2-dimensional domains
|
his paper proposes a sensible definition of a deformation metric between
2-dimensional surfaces obtained from each other by an area preserving
(incompressible) mapping, and an algorithm for obtaining this metric, as well
as the optimal deformation.
|
math.AP math.DS
|
his paper proposes a sensible definition of a deformation metric between 2dimensional surfaces obtained from each other by an area preserving incompressible mapping and an algorithm for obtaining this metric as well as the optimal deformation
|
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|
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|
707.0131
|
Computing and deflating eigenvalues while solving multiple right hand
side linear systems in Quantum Chromodynamics
|
We present a new algorithm that computes eigenvalues and eigenvectors of a
Hermitian positive definite matrix while solving a linear system of equations
with Conjugate Gradient (CG). Traditionally, all the CG iteration vectors could
be saved and recombined through the eigenvectors of the tridiagonal projection
matrix, which is equivalent theoretically to unrestarted Lanczos. Our algorithm
capitalizes on the iteration vectors produced by CG to update only a small
window of vectors that approximate the eigenvectors. While this window is
restarted in a locally optimal way, the CG algorithm for the linear system is
unaffected. Yet, in all our experiments, this small window converges to the
required eigenvectors at a rate identical to unrestarted Lanczos. After the
solution of the linear system, eigenvectors that have not accurately converged
can be improved in an incremental fashion by solving additional linear systems.
In this case, eigenvectors identified in earlier systems can be used to
deflate, and thus accelerate, the convergence of subsequent systems. We have
used this algorithm with excellent results in lattice QCD applications, where
hundreds of right hand sides may be needed. Specifically, about 70 eigenvectors
are obtained to full accuracy after solving 24 right hand sides. Deflating
these from the large number of subsequent right hand sides removes the dreaded
critical slowdown, where the conditioning of the matrix increases as the quark
mass reaches a critical value. Our experiments show almost a constant number of
iterations for our method, regardless of quark mass, and speedups of 8 over
original CG for light quark masses.
|
hep-lat
|
we present a new algorithm that computes eigenvalues and eigenvectors of a hermitian positive definite matrix while solving a linear system of equations with conjugate gradient cg traditionally all the cg iteration vectors could be saved and recombined through the eigenvectors of the tridiagonal projection matrix which is equivalent theoretically to unrestarted lanczos our algorithm capitalizes on the iteration vectors produced by cg to update only a small window of vectors that approximate the eigenvectors while this window is restarted in a locally optimal way the cg algorithm for the linear system is unaffected yet in all our experiments this small window converges to the required eigenvectors at a rate identical to unrestarted lanczos after the solution of the linear system eigenvectors that have not accurately converged can be improved in an incremental fashion by solving additional linear systems in this case eigenvectors identified in earlier systems can be used to deflate and thus accelerate the convergence of subsequent systems we have used this algorithm with excellent results in lattice qcd applications where hundreds of right hand sides may be needed specifically about 70 eigenvectors are obtained to full accuracy after solving 24 right hand sides deflating these from the large number of subsequent right hand sides removes the dreaded critical slowdown where the conditioning of the matrix increases as the quark mass reaches a critical value our experiments show almost a constant number of iterations for our method regardless of quark mass and speedups of 8 over original cg for light quark masses
|
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|
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|
707.0132
|
Serial coalgebras and their valued Gabriel quivers
|
We study serial coalgebras by means of their valued Gabriel quivers. In
particular, Hom-computable and representation-directed coalgebras are
characterized. The Auslander-Reiten quiver of a serial coalgebra is described.
Finally, a version of Eisenbud-Griffith theorem is proved, namely, every
subcoalgebra of a prime, hereditary and strictly quasi-finite coalgebra is
serial.
|
math.RT math.RA
|
we study serial coalgebras by means of their valued gabriel quivers in particular homcomputable and representationdirected coalgebras are characterized the auslanderreiten quiver of a serial coalgebra is described finally a version of eisenbudgriffith theorem is proved namely every subcoalgebra of a prime hereditary and strictly quasifinite coalgebra is serial
|
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|
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|
707.0133
|
Minors in expanding graphs
|
Extending several previous results we obtained nearly tight estimates on the
maximum size of a clique-minor in various classes of expanding graphs. These
results can be used to show that graphs without short cycles and other H-free
graphs contain large clique-minors, resolving some open questions in this area.
|
math.CO
|
extending several previous results we obtained nearly tight estimates on the maximum size of a cliqueminor in various classes of expanding graphs these results can be used to show that graphs without short cycles and other hfree graphs contain large cliqueminors resolving some open questions in this area
|
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|
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|
707.0134
|
Additive approximation for edge-deletion problems
|
A graph property is monotone if it is closed under removal of vertices and
edges. In this paper we consider the following edge-deletion problem; given a
monotone property P and a graph G, compute the smallest number of edge
deletions that are needed in order to turn G into a graph satisfying P. We
denote this quantity by E_P(G).
Our first result states that for any monotone graph property P, any \epsilon
>0 and n-vertex input graph G one can approximate E_P(G) up to an additive
error of \epsilon n^2
Our second main result shows that such approximation is essentially best
possible and for most properties, it is NP-hard to approximate E_P(G) up to an
additive error of n^{2-\delta}, for any fixed positive \delta.
The proof requires several new combinatorial ideas and involves tools from
Extremal Graph Theory together with spectral techniques. Interestingly, prior
to this work it was not even known that computing E_P(G) precisely for dense
monotone properties is NP-hard. We thus answer (in a strong form) a question of
Yannakakis raised in 1981.
|
math.CO
|
a graph property is monotone if it is closed under removal of vertices and edges in this paper we consider the following edgedeletion problem given a monotone property p and a graph g compute the smallest number of edge deletions that are needed in order to turn g into a graph satisfying p we denote this quantity by e_pg our first result states that for any monotone graph property p any epsilon 0 and nvertex input graph g one can approximate e_pg up to an additive error of epsilon n2 our second main result shows that such approximation is essentially best possible and for most properties it is nphard to approximate e_pg up to an additive error of n2delta for any fixed positive delta the proof requires several new combinatorial ideas and involves tools from extremal graph theory together with spectral techniques interestingly prior to this work it was not even known that computing e_pg precisely for dense monotone properties is nphard we thus answer in a strong form a question of yannakakis raised in 1981
|
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|
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|
707.0135
|
Exploring black hole superkicks
|
Recent calculations of the recoil velocity in black-hole binary mergers have
found kick velocities of $\approx2500 $km/s for equal-mass binaries with
anti-aligned initial spins in the orbital plane. In general the dynamics of
spinning black holes can be extremely complicated and are difficult to analyze
and understand. In contrast, the ``superkick'' configuration is an example with
a high degree of symmetry that also exhibits exciting physics. We exploit the
simplicity of this ``test case'' to study more closely the role of spin in
black-hole recoil and find that: the recoil is with good accuracy proportional
to the difference between the $(l = 2, m = \pm 2)$ modes of $\Psi_4$, the major
contribution to the recoil occurs within $30M$ before and after the merger, and
that this is after the time at which a standard post-Newtonian treatment breaks
down. We also discuss consequences of the $(l = 2, m = \pm 2)$ asymmetry in the
gravitational wave signal for the angular dependence of the SNR and the
mismatch of the gravitational wave signals corresponding to the north and south
poles.
|
gr-qc
|
recent calculations of the recoil velocity in blackhole binary mergers have found kick velocities of approx2500 kms for equalmass binaries with antialigned initial spins in the orbital plane in general the dynamics of spinning black holes can be extremely complicated and are difficult to analyze and understand in contrast the superkick configuration is an example with a high degree of symmetry that also exhibits exciting physics we exploit the simplicity of this test case to study more closely the role of spin in blackhole recoil and find that the recoil is with good accuracy proportional to the difference between the l 2 m pm 2 modes of psi_4 the major contribution to the recoil occurs within 30m before and after the merger and that this is after the time at which a standard postnewtonian treatment breaks down we also discuss consequences of the l 2 m pm 2 asymmetry in the gravitational wave signal for the angular dependence of the snr and the mismatch of the gravitational wave signals corresponding to the north and south poles
|
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|
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|
707.0136
|
Fractal Relativity, Generalized Noether Theorem and New Research of
Space-Time
|
First, let the fractal dimension D=n(integer)+d(decimal), so the fractal
dimensional matrix was represented by a usual matrix adds a special decimal row
(column). We researched that mathematics, for example, the fractal dimensional
linear algebra, and physics may be developed to fractal and the complex
dimension extended from fractal. From this the fractal relativity is discussed,
which connects with self-similarity Universe and the extensive quantum theory.
The space dimension has been extended from real number to superreal and complex
number. Combining the quaternion, etc., the high dimensional time is
introduced. Such the vector and irreversibility of time are derived. Then the
fractal dimensional time is obtained, and space and time possess completely
symmetry. It may be constructed preliminarily that the higher dimensional,
fractal, complex and supercomplex space-time theory covers all. We propose a
generalized Noether theorem, and irreversibility of time should correspond to
non-conservation of a certain quantity. Resumed reversibility of time and
possible decrease of entropy are discussed. Finally, we obtain the quantitative
relations between energy-mass and space-time, which is consistent with the
space-time uncertainty relation in string theory.
|
physics.gen-ph
|
first let the fractal dimension dnintegerddecimal so the fractal dimensional matrix was represented by a usual matrix adds a special decimal row column we researched that mathematics for example the fractal dimensional linear algebra and physics may be developed to fractal and the complex dimension extended from fractal from this the fractal relativity is discussed which connects with selfsimilarity universe and the extensive quantum theory the space dimension has been extended from real number to superreal and complex number combining the quaternion etc the high dimensional time is introduced such the vector and irreversibility of time are derived then the fractal dimensional time is obtained and space and time possess completely symmetry it may be constructed preliminarily that the higher dimensional fractal complex and supercomplex spacetime theory covers all we propose a generalized noether theorem and irreversibility of time should correspond to nonconservation of a certain quantity resumed reversibility of time and possible decrease of entropy are discussed finally we obtain the quantitative relations between energymass and spacetime which is consistent with the spacetime uncertainty relation in string theory
|
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|
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|
707.0137
|
Model theoretic connected components of groups
|
We give a general exposition of model theoretic connected components of
groups. We show that if a group G has NIP, then there exists the smallest
invariant (over some small set) subgroup of G with bounded index (Theorem 5.3).
This result extends theorem of Shelah. We consider also in this context the
multiplicative and the additive groups of some rings (including infite fields).
|
math.LO math.GR
|
we give a general exposition of model theoretic connected components of groups we show that if a group g has nip then there exists the smallest invariant over some small set subgroup of g with bounded index theorem 53 this result extends theorem of shelah we consider also in this context the multiplicative and the additive groups of some rings including infite fields
|
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|
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|
707.0138
|
Search for B -> h(*) nu nubar Decays at Belle
|
We present a search for the rare decays B -> h(*) nu nubar, where h(*) stands
for a light meson. A data sample of 535 million BBbar pairs collected with the
Belle detector at the KEKB e+e- collider is used. Signal candidates are
required to have an accompanying B meson fully reconstructed in a hadronic mode
and signal-side particles consistent with a single h(*) meson. No significant
signal is observed and we set upper limits on the branching fractions at 90%
confidence level. The limits on B0 -> K*0 nu nubar and B+ -> K+ nu nubar decays
are more stringent than the previous constraints, while the first searches for
B0 -> K0 nu nubar, pi0 nu nubar, rho0 nu nubar, phi nu nubar and B+ -> K*+ nu
nubar, rho+ nu nubar are reported.
|
hep-ex
|
we present a search for the rare decays b h nu nubar where h stands for a light meson a data sample of 535 million bbbar pairs collected with the belle detector at the kekb ee collider is used signal candidates are required to have an accompanying b meson fully reconstructed in a hadronic mode and signalside particles consistent with a single h meson no significant signal is observed and we set upper limits on the branching fractions at 90 confidence level the limits on b0 k0 nu nubar and b k nu nubar decays are more stringent than the previous constraints while the first searches for b0 k0 nu nubar pi0 nu nubar rho0 nu nubar phi nu nubar and b k nu nubar rho nu nubar are reported
|
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|
[-0.1224656921717374, 0.2643647288018166, -0.013799657550855325, 0.07579441748093814, -0.08474043557205452, -0.22215955268520002, 0.19514887704012485, 0.2474354550528985, -0.1397493412789817, -0.2315533366627418, -0.06675917161449503, -0.47656394670215935, 0.1178582294145599, 0.16446450975222082, 0.15074503055702035, 0.14573421338573098, 0.11836951258950508, 0.0716992766309816, -0.013674051883236433, -0.1611280616444464, 0.123126458362318, 0.028241970656941142, 0.16948665192780588, 0.0018277797489785232, -0.0878040048499735, -0.04326147785087904, -0.12567951486875806, -0.12381358400273781, -0.2640059352637483, -0.02480127274757251, 0.21973463776163182, 0.1292619937977109, 0.10275772228980294, -0.2424723515140963, 0.05956730393585391, 0.2566741733919256, 0.14820113332870488, -0.07766535174495612, 0.03992151157390953, -0.4609169746820743, 0.22946646489346256, -0.11950716248785075, 0.04271030573604199, -0.05597732958759969, 0.1879025657553799, -0.19427643336687023, -0.44079903357017497, 0.1214727757874733, -0.07949183778120922, 0.08400435191735876, 0.020078708356819474, -0.36493876065629033, 0.004189847490320412, -0.06499172913698623, 0.06819946926015501, 0.18831199274080482, 0.21436728997729146, -0.11003835107056567, -0.19562288044163814, 0.37985417764060775, -0.0892829166852887, -0.18443389251613274, 0.17955367931952843, -0.31741337441624357, -0.15246061445213854, 0.2622879494554721, 0.27471481894071287, 0.056241304124705495, -0.19616525860933157, 0.20211812533760587, -0.030144761194689916, 0.16121355898391743, 0.07202586183825938, 0.07307914522154113, 0.17681581190106674, 0.19214711347773958, 0.007797921746700572, 0.019477792370777864, -0.19382045659809732, 0.10797302245090787, -0.4168651531280305, -0.1715407718062544, -0.0340919602955602, 0.14396341980721514, -0.022626363310085322, 0.013291859676918158, 0.2968636082449498, -0.03221323147702675, 0.3422549095792839, 0.03990569601301104, 0.2778707498075584, 0.09703063664951164, -0.010775990783048865, 0.11402571372040816, 0.2784953360696538, 0.20972848058893132, 0.13900630353197743, -0.2513193522723248, 0.004218521449141778, -0.05389438642797848]
|
707.0139
|
Manifestation of nonequilibrium initial conditions in molecular
rotation: the generalized J-diffusion model
|
In order to adequately describe molecular rotation far from equilibrium, we
have generalized the J-diffusion model by allowing the rotational relaxation
rate to be angular momentum dependent. The calculated nonequilibrium rotational
correlation functions (CFs) are shown to decay much slower than their
equilibrium counterparts, and orientational CFs of hot molecules exhibit
coherent behavior, which persists for several rotational periods. As distinct
from the results of standard theories, rotational and orientational CFs are
found to dependent strongly on the nonequilibrium preparation of the molecular
ensemble. We predict the Arrhenius energy dependence of rotational relaxation
times and violation of the Hubbard relations for orientational relaxation
times. The standard and generalized J-diffusion models are shown to be almost
indistinguishable under equilibrium conditions. Far from equilibrium, their
predictions may differ dramatically.
|
cond-mat.soft cond-mat.stat-mech
|
in order to adequately describe molecular rotation far from equilibrium we have generalized the jdiffusion model by allowing the rotational relaxation rate to be angular momentum dependent the calculated nonequilibrium rotational correlation functions cfs are shown to decay much slower than their equilibrium counterparts and orientational cfs of hot molecules exhibit coherent behavior which persists for several rotational periods as distinct from the results of standard theories rotational and orientational cfs are found to dependent strongly on the nonequilibrium preparation of the molecular ensemble we predict the arrhenius energy dependence of rotational relaxation times and violation of the hubbard relations for orientational relaxation times the standard and generalized jdiffusion models are shown to be almost indistinguishable under equilibrium conditions far from equilibrium their predictions may differ dramatically
|
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|
[-0.08143975004926324, 0.2341471117325127, -0.13747992247715593, 0.11271927092969418, -0.0036161154638975858, -0.1219310548454523, 0.018420078888535498, 0.3985313109457493, -0.2692145302444696, -0.2866151972711086, 0.03878717003110796, -0.23738859380059876, -0.07167527496628463, 0.16204208280704915, 0.06118653456494212, 0.06470892251282931, -0.014365929152816533, -0.024663209356367587, -0.12596227176859975, -0.20217514310032128, 0.24101783311367034, 0.03606313773058355, 0.29307405777275564, 0.02026891276380047, 0.053513589598238466, -0.056645017240196466, 0.021848116409033537, 0.026089210734702648, -0.196377364307642, 0.0469233638048172, 0.1797072039222403, 0.01169009931012988, 0.16109540207311512, -0.4473102649115026, -0.2105913360733539, 0.09254352737218141, 0.15501336350501516, 0.16098062777798622, 0.06763928796630353, -0.25131166667491195, 0.025226075142621995, -0.15089417145587503, -0.15279179785680025, -0.14725433667376636, 0.04514590745046735, 0.06336588742397725, -0.23538032924383878, 0.188913229605183, 0.06547746903076768, 0.08077235873788595, -0.11434405693784357, -0.1594275659704581, -0.09650030239112675, 0.08136480254027992, 0.10802302100416272, 0.017431147787719967, 0.20881613914854824, -0.11159648451954127, -0.09615595411835239, 0.4085135996565223, -0.0734647491943324, -0.1574518509618938, 0.24877100446820258, -0.19300451224297285, -0.09621683759987354, 0.20257551053911446, 0.12765701154991985, 0.1171157787181437, -0.17274843227118253, -0.0011982036642730236, 0.007922367624938488, 0.16556342625431716, 0.07091534863598645, 0.10405334406346083, 0.2275653246343136, 0.08884675176814198, 0.03007006351836026, 0.11839580739289522, -0.07623504056595266, -0.20545887102931737, -0.21195124518871308, -0.08961371843516827, -0.17327617065422238, 0.10210912443138659, -0.051615249320399015, -0.1161743322215043, 0.3805077400878072, 0.107958218366839, 0.17586505520343781, 0.0885505903447047, 0.21718852430582047, 0.15115945352520793, 0.0638474385291338, 0.07262413492053747, 0.29338804373145105, 0.13698168982751668, 0.06540378263965249, -0.31272601160593333, 0.10497765143588185, 0.00036730986926704644]
|
707.014
|
Weak localisation in graphene flakes
|
We show that the manifestation of quantum interference in graphene is very
different from that in conventional two-dimensional systems. Due to the chiral
nature of charge carriers, it is sensitive not only to inelastic,
phase-breaking scattering, but also to a number of elastic scattering
processes. We study weak localization in different samples and at different
carrier densities, including the Dirac region, and find the characteristic
rates that determine it. We show how the shape and quality of graphene flakes
affect the values of the elastic and inelastic rates and discuss their physical
origin.
|
cond-mat.mes-hall cond-mat.mtrl-sci
|
we show that the manifestation of quantum interference in graphene is very different from that in conventional twodimensional systems due to the chiral nature of charge carriers it is sensitive not only to inelastic phasebreaking scattering but also to a number of elastic scattering processes we study weak localization in different samples and at different carrier densities including the dirac region and find the characteristic rates that determine it we show how the shape and quality of graphene flakes affect the values of the elastic and inelastic rates and discuss their physical origin
|
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|
[-0.1289190100681197, 0.17207800982499954, -0.06717655769679495, 0.07172496823383676, -0.004648674599906449, -0.09823008365828985, 0.06440879879719628, 0.39764989203503054, -0.29440383677200604, -0.2732126151902541, 0.022808682425097832, -0.298479783478924, -0.18392202044056066, 0.18293466817547557, 0.011278906654033269, 0.021676421324598544, 0.006207016552047384, -0.00896157931175924, -0.059177325420101644, -0.19587506535738425, 0.3425349775421363, 0.034733562173211684, 0.34318928889209227, 0.15346949277395602, 0.046443128818145364, 0.04824311461960597, 0.03138621199515558, 0.00951924431388096, -0.12293931995936286, 0.05875235603200973, 0.24313104212764772, -0.024666867859821806, 0.15089787202837165, -0.4589914320217025, -0.214321105551946, 0.05881030806991201, 0.13508994424320075, 0.1512476571720414, -0.04785830096431797, -0.2407760915987354, 0.10506442941284629, -0.12178313774206946, -0.10800719465709903, -0.08254917134200374, 0.018793546965205542, 0.024495866037003936, -0.21325733398978589, 0.10275630064788074, 0.03012032411812294, -0.009468732151373099, -0.08854110198225626, -0.11413294678774252, -0.04177117978863578, 0.11233484128149607, 0.09876566656529703, -0.03627406816518996, 0.1778007021464247, -0.18781702207922135, -0.06540383227289684, 0.3972301324729317, -0.017304479129492276, -0.1510310640899084, 0.2551257989159034, -0.22627129011176605, -0.06649006187655432, 0.17239141194350135, 0.18616505813414372, 0.10479986422284636, -0.15060224959887164, 0.058644526680025164, -0.01784330901129031, 0.152583797741431, 0.0740432815691356, 0.13523552254573393, 0.21188162782439782, 0.14842358327681018, 0.026583126120229242, 0.08764101272468926, -0.14748545212831388, -0.0389771169597303, -0.260320993961506, -0.14357656174369396, -0.1971136727019824, 0.07314007886280481, -0.05728884299097317, -0.16000852826982737, 0.37514484809431176, 0.19309504834874983, 0.2510883439612645, -0.009302101060447673, 0.2671081626447298, 0.12120646177240277, 0.07647556686143, 0.026828778361881613, 0.28114909861206766, 0.12769730101710045, 0.09513900619781306, -0.2816782487901829, 0.0639417476861948, -0.0217186315661116]
|
707.0141
|
Soliton turbulences in the complex Ginzburg-Landau equation
|
We study spatio-temporal chaos in the complex Ginzburg-Landau equation in
parameter regions of weak amplification and viscosity. Turbulent states
involving many soliton-like pulses appear in the parameter range, because the
complex Ginzburg-Landau equation is close to the nonlinear Schr\"odinger
equation. We find that the distributions of amplitude and wavenumber of pulses
depend only on the ratio of the two parameters of the amplification and the
viscosity. This implies that a one-parameter family of soliton turbulence
states characterized by different distributions of the soliton parameters
exists continuously around the completely integrable system.
|
nlin.PS nlin.CD
|
we study spatiotemporal chaos in the complex ginzburglandau equation in parameter regions of weak amplification and viscosity turbulent states involving many solitonlike pulses appear in the parameter range because the complex ginzburglandau equation is close to the nonlinear schrodinger equation we find that the distributions of amplitude and wavenumber of pulses depend only on the ratio of the two parameters of the amplification and the viscosity this implies that a oneparameter family of soliton turbulence states characterized by different distributions of the soliton parameters exists continuously around the completely integrable system
|
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|
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|
707.0142
|
Mott metal-insulator transition in the Hubbard model
|
The Hubbard model in the strong-coupling regime is mainly studied by
Kondo-lattice theory or 1/d expansion theory, with d the spatial
dimensionality. In two dimensions and higher, the ground state within the
Hilbert subspace with no order parameter is a normal Fermi liquid except for
n=1 and U/W=+infinity, with n the electron density per unit cell, U the on-site
repulsion, and W the bandwidth; the cooperation between the Kondo effect, which
favors a local singlet on each unit cell, and a resonating-valence-bond effect,
which favors a local singlet on each pair of nearest-neighbor unit cells,
stabilizes the Fermi liquid, whose ground state is a singlet as a whole, in the
strong-coupling regime. In the whole Hilbert space with no restriction, the
normal Fermi liquid is unstable at least against a magnetic or superconducting
state. This analysis confirms an early Fermi-liquid theory of high-temperature
superconductivity, F. J. Ohkawa, Jpn. J. Appl. Phys. 26, L652 (1987). The
ground state for n=1 and U/W=+infinity is a Mott insulator. Actual
metal-insulator transitions cannot be explained within the Hubbard model. In
order to explain them, the electron-phonon interaction, multi-band or
multi-orbital effects, and effects of disorder should be considered beyond the
Hubbard model. The crossover between local-moment magnetism and
itinerant-electron magnetism corresponds to that between a localized spin and a
normal Fermi liquid in the Kondo effect and it is simply a Mott metal-insulator
crossover.
|
cond-mat.str-el cond-mat.supr-con
|
the hubbard model in the strongcoupling regime is mainly studied by kondolattice theory or 1d expansion theory with d the spatial dimensionality in two dimensions and higher the ground state within the hilbert subspace with no order parameter is a normal fermi liquid except for n1 and uwinfinity with n the electron density per unit cell u the onsite repulsion and w the bandwidth the cooperation between the kondo effect which favors a local singlet on each unit cell and a resonatingvalencebond effect which favors a local singlet on each pair of nearestneighbor unit cells stabilizes the fermi liquid whose ground state is a singlet as a whole in the strongcoupling regime in the whole hilbert space with no restriction the normal fermi liquid is unstable at least against a magnetic or superconducting state this analysis confirms an early fermiliquid theory of hightemperature superconductivity f j ohkawa jpn j appl phys 26 l652 1987 the ground state for n1 and uwinfinity is a mott insulator actual metalinsulator transitions cannot be explained within the hubbard model in order to explain them the electronphonon interaction multiband or multiorbital effects and effects of disorder should be considered beyond the hubbard model the crossover between localmoment magnetism and itinerantelectron magnetism corresponds to that between a localized spin and a normal fermi liquid in the kondo effect and it is simply a mott metalinsulator crossover
|
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|
[-0.16086192834885432, 0.22793990183115392, -0.027271251043043378, 0.07060578762473979, -0.016609272030141335, -0.2007284833122404, 0.12864781152804203, 0.3234642340634182, -0.2358749734825994, -0.23509784421899863, 0.012127630144006392, -0.3286170914908054, -0.0959253536757866, 0.07566518507889684, 0.0497264263501979, -0.04622915224453002, -0.05736350728476649, -0.004301050404217421, -0.12503813606944228, -0.2523125719356661, 0.28943523507475394, -0.012192752238836858, 0.2939263447588657, 0.07917254078487881, 0.033487062151707186, 0.03542784001196228, 0.16001087273348516, 0.0028755441184202617, -0.11726766616416091, 0.02871479070336934, 0.2700212673825853, -0.10774294840704993, 0.2636980992893018, -0.4217194789579432, -0.23879847716409386, 0.05069042098496044, 0.10770328624353728, 0.1286181833292766, 0.02590884835080942, -0.3189941765822209, -0.032564898333491826, -0.2156175071385836, -0.13648429341826654, -0.06620932027713902, 0.008029978103494565, -0.0657486650809899, -0.29100398340041894, 0.13808670722299435, 0.06185063811911581, 0.08456007995144382, -0.08475657600884963, -0.1047226461059038, -0.09595964875546072, 0.03894497521360519, 0.009763898673363178, 0.11562648501345202, 0.10735379101561991, -0.1257126208674571, -0.08926348969046223, 0.37443610777457553, -0.06555092435283177, -0.12447071930275119, 0.20732015002265639, -0.2069962530666472, -0.058956570049192296, 0.1585724688794519, 0.049598138976490874, 0.02775239614001884, -0.10786252568364593, 0.16420555381454618, -0.054463267602586074, 0.1967086875749948, -0.023431427413270922, 0.047608137923178445, 0.23849669879551552, 0.22782860063996754, 0.059046077315303445, 0.10649825066426083, -0.14615525944087462, -0.11573417665918864, -0.26760827774578183, -0.15045642387121916, -0.2553036996661767, 0.043399574736037734, -0.06265176927588886, -0.18226200052161226, 0.39173243704390825, 0.10160116475532975, 0.18461271796351006, -0.07191910124445137, 0.19333173676530255, 0.10061014942741103, 0.027555124092798092, 0.07193163848811916, 0.2151979969399818, 0.146876504843883, 0.07504900356983407, -0.3040098341114476, 0.03629178322827149, 0.11411541881623857]
|
707.0143
|
On semiparametric regression with O'Sullivan penalised splines
|
This is an expos\'e on the use of O'Sullivan penalised splines in
contemporary semiparametric regression, including mixed model and Bayesian
formulations. O'Sullivan penalised splines are similar to P-splines, but have
an advantage of being a direct generalisation of smoothing splines. Exact
expressions for the O'Sullivan penalty matrix are obtained. Comparisons between
the two reveals that O'Sullivan penalised splines more closely mimic the
natural boundary behaviour of smoothing splines. Implementation in modern
computing environments such as Matlab, R and BUGS is discussed.
|
stat.ME
|
this is an expose on the use of osullivan penalised splines in contemporary semiparametric regression including mixed model and bayesian formulations osullivan penalised splines are similar to psplines but have an advantage of being a direct generalisation of smoothing splines exact expressions for the osullivan penalty matrix are obtained comparisons between the two reveals that osullivan penalised splines more closely mimic the natural boundary behaviour of smoothing splines implementation in modern computing environments such as matlab r and bugs is discussed
|
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|
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|
707.0144
|
Dimension Data, Local and Global Conjugacy in Reductive Groups
|
Let G be a connected reductive group (over $\mathbb{C}$) and H a connected
semisimple subgroup. The dimension data of H (realative to its given embedding
in G) is the collection of the numbers $\{{\rm dim} V^{H}\}$, where V runs over
all the finite dimensional representations of G. By a Theorem of Larsen-Pink
([L-P90]), the dimension data determines H up to isomorphism, and if G = GL (n)
even up to conjugacy. Professor Langlands raised the question as to whether the
strong (conjugacy) result holds for arbitrary G. In this paper We provided the
following (negative) answer: If H is simple of type A_{4 n}, $B_{2 n} (n \geq
2)$, $C_{2 n} (n \geq 2)$, E_{6}, E_{8}, F_{4} and G_{2}, then there exist (for
suitable $N$) pairs of embeddings i and i' of H into $G = SO (2 N)$ such that
there image i (H) and i' (H) have the same dimension data but are not
conjugate. In fact we have shown that i (H) and i' (H) are \emph{locally
conjugate}, i.e., that i (h) and i' (h) are conjugate in G for all semisimple
$h \in H$. If one assumes functoriality, this result will furnish the failure
of multiplicity one for automorphic forms on such G over global fields. Such
things are known in the disconnected cases, especially when H is finite, as in
the works of Blasius [Blasius94] for $SL (n) (n \geq 3)$ and
Gan-Gurevich-Jiang2002 ([Gan]) for G_{2}.
|
math.RT math.NT
|
let g be a connected reductive group over mathbbc and h a connected semisimple subgroup the dimension data of h realative to its given embedding in g is the collection of the numbers rm dim vh where v runs over all the finite dimensional representations of g by a theorem of larsenpink lp90 the dimension data determines h up to isomorphism and if g gl n even up to conjugacy professor langlands raised the question as to whether the strong conjugacy result holds for arbitrary g in this paper we provided the following negative answer if h is simple of type a_4 n b_2 n n geq 2 c_2 n n geq 2 e_6 e_8 f_4 and g_2 then there exist for suitable n pairs of embeddings i and i of h into g so 2 n such that there image i h and i h have the same dimension data but are not conjugate in fact we have shown that i h and i h are emphlocally conjugate ie that i h and i h are conjugate in g for all semisimple h in h if one assumes functoriality this result will furnish the failure of multiplicity one for automorphic forms on such g over global fields such things are known in the disconnected cases especially when h is finite as in the works of blasius blasius94 for sl n n geq 3 and gangurevichjiang2002 gan for g_2
|
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|
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|
707.0145
|
Laser Pulse Amplification with Bose-Einstein Condensates
|
This paper has been withdrawn by the author.
|
cond-mat.other physics.optics quant-ph
|
this paper has been withdrawn by the author
|
[['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author']]
|
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|
707.0146
|
Buchdahl-like transformations for perfect fluid spheres
|
In two previous articles [Phys. Rev. D71 (2005) 124307 (gr-qc/0503007), and
gr-qc/0607001] we have discussed several "algorithmic" techniques that permit
one (in a purely mechanical way) to generate large classes of general
relativistic static perfect fluid spheres. Working in Schwarzschild curvature
coordinates, we used these algorithmic ideas to prove several
"solution-generating theorems" of varying levels of complexity. In the present
article we consider the situation in other coordinate systems: In particular,
in general diagonal coordinates we shall generalize our previous theorems, in
isotropic coordinates we shall encounter a variant of the so-called "Buchdahl
transformation", while in other coordinate systems (such as Gaussian polar
coordinates, Synge isothermal coordinates, and Buchdahl coordinates) we shall
find a number of more complex "Buchdahl-like transformations" and
"solution-generating theorems" that may be used to investigate and classify the
general relativistic static perfect fluid sphere. Finally by returning to
general diagonal coordinates and making a suitable ansatz for the functional
form of the metric components we place the Buchdahl transformation in its most
general possible setting.
|
gr-qc
|
in two previous articles phys rev d71 2005 124307 grqc0503007 and grqc0607001 we have discussed several algorithmic techniques that permit one in a purely mechanical way to generate large classes of general relativistic static perfect fluid spheres working in schwarzschild curvature coordinates we used these algorithmic ideas to prove several solutiongenerating theorems of varying levels of complexity in the present article we consider the situation in other coordinate systems in particular in general diagonal coordinates we shall generalize our previous theorems in isotropic coordinates we shall encounter a variant of the socalled buchdahl transformation while in other coordinate systems such as gaussian polar coordinates synge isothermal coordinates and buchdahl coordinates we shall find a number of more complex buchdahllike transformations and solutiongenerating theorems that may be used to investigate and classify the general relativistic static perfect fluid sphere finally by returning to general diagonal coordinates and making a suitable ansatz for the functional form of the metric components we place the buchdahl transformation in its most general possible setting
|
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|
[-0.14501609593615727, 0.06812419995637328, -0.09387988047815407, 0.07709577394592942, -0.09796464159858949, -0.14200471509530238, 0.013651405942315857, 0.3513524149685647, -0.23383629550861026, -0.2506447413654038, 0.05478024616922167, -0.2449680811908999, -0.15951845157383518, 0.16825560346584428, -0.10963438164414556, 0.04022471147032003, -0.0031099234086771808, 0.02601914273179842, -0.13273509939264674, -0.2561915381289454, 0.3209807428672458, 0.02515842436784596, 0.24894624870750262, -0.019070453883967164, 0.08532221973450346, 0.051243471602598824, -0.03636587458860242, 0.07407591355061441, -0.17257193257850525, 0.08754862044006587, 0.26411707545771745, 0.12328375391521011, 0.2034132197555719, -0.45382694839076565, -0.21242345381443473, 0.10527518439021978, 0.1164780323083202, 0.1570517920169302, -0.021915795431546443, -0.2546322048782851, 0.021482817789144588, -0.1809022903922155, -0.20471526410035562, -0.12937343067914656, 0.04701795696534894, 0.021585693251990685, -0.19982749971024918, 0.0767417236063259, 0.12595886828921996, 0.030438812934991084, -0.07534708412025462, -0.10083254472507784, 0.05229540139747162, 0.06604747526404081, 0.04202132641944583, 0.01728739030800308, 0.12212726935800729, -0.050033960053626675, -0.09279998588291082, 0.4002619201543205, -0.039834916672429464, -0.2739614031757369, 0.20295030057543154, -0.12095133629204198, -0.19734627360647375, 0.04237876208216855, 0.18239888345088923, 0.17320059909569946, -0.16486481157780597, 0.11747008307632341, -0.0553077090700919, 0.09852530205001434, 0.15018972200200414, 0.011097226879263128, 0.14101186153676473, 0.030909297194783435, 0.027625320049198557, 0.15954097888122, -0.04181368970453288, -0.14415333116829226, -0.3139289653479037, -0.1752596979749135, -0.12647535266270013, 0.06960504926515348, -0.12073661273470586, -0.15578966384019816, 0.3410325620986634, 0.13633246296438192, 0.16044780821398352, 0.024119961547672354, 0.25354372955520044, 0.05602473651312969, -0.00763390429025149, 0.11790343636759755, 0.2675033382612817, 0.15378844818721216, 0.10933604251847348, -0.11829878310179055, -0.0513103352125847, 0.12140242430155701]
|
707.0147
|
Tsirelson like operator spaces
|
We construct nontrivial examples of weak-$C_p$ ($1\leq p \leq \infty$)
operator spaces with the local operator space structure very close to $C_p =
[R, C]_{\frac{1}{p}}$. These examples are non-homogeneous Hilbertian operator
spaces, and their constructions are similar to that of 2-convexified
Tsirelson's space by W. B. Johnson.
|
math.FA math.OA
|
we construct nontrivial examples of weakc_p 1leq p leq infty operator spaces with the local operator space structure very close to c_p r c_frac1p these examples are nonhomogeneous hilbertian operator spaces and their constructions are similar to that of 2convexified tsirelsons space by w b johnson
|
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|
[-0.13993854335574216, 0.16492811300207016, -0.02274027003278566, 0.1329742731136638, -0.11082820226113464, -0.2047583015289071, -0.005048943721407721, 0.41633581586701923, -0.33793717302208726, -0.20699072334655497, 0.09383478300472678, -0.33275486784445685, -0.12750326317929944, 0.1732310950756073, -0.11891658911698086, 0.02773449981455193, 0.028625144384974658, 0.05446559232984518, -0.15093379237602444, -0.3005218945476118, 0.4215339027171911, -0.03259242828502212, 0.1394522892917658, -0.04513252008879601, 0.03221641729997341, -0.03952998857468713, -0.018376642226263187, -0.025419563836104043, -0.27349107011392587, 0.1008976330374216, 0.2978056485136581, 0.04750265869810138, 0.2609910033264219, -0.3042399484750836, -0.16049542102616193, 0.21565740347601647, 0.09967626858675896, -0.06474138176891693, 0.032576122467384436, -0.3271320304118617, 0.14534111268991648, -0.10886020387176337, -0.11859709930844432, -0.2069140151792834, 0.1154801293687765, 0.01868148812980846, -0.337560105182198, 0.01232133774346737, 0.16052712183878864, 0.03932423830075666, -0.08901589005903969, -0.16456960962522169, -0.06670756236281852, 0.05953058279877485, -0.04590440740765527, 0.07604767584653441, 0.04867129288830383, -0.0005226317836448203, -0.08083619372269442, 0.29218463162176833, -0.05012101835982744, -0.2235408846862874, 0.16085539966128592, -0.21357641378850784, -0.12241758789520624, 0.042495965437833655, 0.09515458761259567, 0.1687408485558144, -0.0038402076217692433, 0.2698695122922208, -0.12368088204760191, 0.038184523636605155, 0.09631441999226809, 0.11090230663458622, 0.030006198602360347, -0.005237732429143994, 0.12291403789463085, 0.10259989731360314, 0.05352550595565591, -0.01760731755246863, -0.4155395663408346, -0.14261922017173018, -0.19277837775041198, 0.11158130883217551, -0.18057291099204692, -0.14086346807997935, 0.25628311340805404, 0.03548431151741466, 0.2176114777644533, 0.0745718995715643, 0.14749927758130915, 0.08067094131784383, 0.009158053631666874, 0.09983339864587368, 0.0991697560042836, 0.22699478949246885, 0.07789012876360915, -0.12694672165915025, -0.04552500372276057, 0.19658386524290192]
|
707.0148
|
Particle Refraction, Reflection and Channeling by Laser Beams
|
It is shown that the charged particles are refracted and reflected on the
boundary of field free and laser field regions in vacuum. Simple and
transparent estimates are given which show the possibility of channeling of
charged and neutral particles having polarizability by strong electromagnetic
field of certain laser bunches just as by the field of orientated crystalline
planes and axes. These processes can be applied for production of femtosecond
sliced electron bunches, for measurement their length and particle distribution
as well as for production of femtosecond X-ray and terahertz pulses using
transition, channeling and other types of radiation.
|
physics.acc-ph
|
it is shown that the charged particles are refracted and reflected on the boundary of field free and laser field regions in vacuum simple and transparent estimates are given which show the possibility of channeling of charged and neutral particles having polarizability by strong electromagnetic field of certain laser bunches just as by the field of orientated crystalline planes and axes these processes can be applied for production of femtosecond sliced electron bunches for measurement their length and particle distribution as well as for production of femtosecond xray and terahertz pulses using transition channeling and other types of radiation
|
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|
[-0.07914962382831921, 0.3047132039762507, -0.03431385678869456, 0.04830205292473876, -0.0035591097736749986, -0.1385492224791887, -0.03676365521933996, 0.47975940577159026, -0.23944534078202764, -0.3150841948961971, 0.038307535315092386, -0.28749260925358594, -0.005139752281735642, 0.2401158190438185, 0.041590285132347485, 0.05638457718070107, 0.010484700008869322, -0.03067850676186458, 0.02681600423106416, -0.14754322398397507, 0.32056753287524586, 0.07421705914153294, 0.2784616535228461, 0.08722448222470855, 0.13389205483418673, 0.07498478093137494, 0.026427431759951315, 0.015305620072541213, -0.08875791727592569, 0.0694151234323855, 0.17764157207560433, 0.03486116065154548, 0.1557048727955782, -0.46242625268195015, -0.22138270569231475, 0.03670019326929116, 0.15970124099215474, 0.10329456644654839, -0.14486734765332493, -0.2970159093877583, 0.03143178297187945, -0.10680935819717971, -0.13375578454761494, -0.034835897912882795, 0.01744334288223675, 0.11694367622222865, -0.267397723377052, 0.03609130172190642, 0.02863212988236825, 0.039004463889410326, -0.08351163759432507, -0.05279492791930233, -0.039573341445771584, 0.04802173063290691, 0.1152282469139218, 0.04423761644842799, 0.24158749575585578, -0.1476845437075209, -0.12426355694693447, 0.41108055576926683, -0.0653205021199855, -0.14236815031053443, 0.17674013771906946, -0.24055604506848435, 0.008308029597780356, 0.21946173423731868, 0.16602125866432685, 0.1714404442281735, -0.14724219589955126, 0.03472834369732124, 0.00517259469617986, 0.13171947824608798, 0.17638347177023087, 0.06189572741983063, 0.27930115478941137, 0.12579447538192112, 0.03113495438557231, 0.1367461327457509, -0.11025957385491994, -0.00948040344460745, -0.30466503148305824, -0.1861380551414884, -0.15201801366897094, 0.052808211805919804, -0.05661921782199778, -0.17700818920539776, 0.38689670730099984, 0.09965248577616583, 0.12561581527456792, -0.04597477470830346, 0.3020975712470409, 0.13009950928413544, 0.04829096411016177, 0.003056835060976822, 0.2744247502826079, 0.17663150526832488, 0.0883825128437067, -0.18496147082704636, 0.005882222685172703, -0.009476723619783767]
|
707.0149
|
Experimental demonstration of continuous variable purification of
squeezed states
|
We report on the first experimental demonstration of purification of
nonclassical continuous variable states. The protocol uses two copies of
phase-diffused states overlapped on a beam splitter and provides Gaussified,
less mixed states with the degree of squeezing improved. The protocol uses only
linear optical devices such as beam splitters and homodyne detection, thereby
proving these optical elements can be used for successful purification of this
type of state decoherence which occurs in optical transmission channels.
|
quant-ph
|
we report on the first experimental demonstration of purification of nonclassical continuous variable states the protocol uses two copies of phasediffused states overlapped on a beam splitter and provides gaussified less mixed states with the degree of squeezing improved the protocol uses only linear optical devices such as beam splitters and homodyne detection thereby proving these optical elements can be used for successful purification of this type of state decoherence which occurs in optical transmission channels
|
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|
[-0.16760105105116962, 0.21102134165509293, -0.08565774118993431, -0.05657965462189168, 0.0193012518559893, -0.2655880862288177, 0.10323529118051132, 0.4202829125026862, -0.2255925338404874, -0.25837436551849047, 0.06691439476950715, -0.24578235184152922, -0.07069709083065391, 0.23620175542930763, -0.06467191462715467, 0.16229929347832997, 0.08409776799380779, -0.030001273279388747, -0.02186179783505698, -0.20863050311803819, 0.302827203348279, 0.019694647863507272, 0.32668383268018564, 0.03176004638274511, 0.15003343720609943, 0.09337058454751969, 0.0028566674329340456, -0.09049799766391516, -0.037028785523725675, 0.10130072029074653, 0.26134459594885506, 0.13862353696895297, 0.21147168636787683, -0.4362594984875371, -0.21454573649913072, 0.11240501025225967, 0.11982996130983035, 0.20009275763450812, -0.0425278056319803, -0.3107807945708434, -0.02509703665971756, -0.17443213187643172, -0.1114723301397559, -0.0909227954223752, -0.051467842521766824, 0.014543720570703347, -0.27010120737055937, 0.05590768910944462, 0.032384221451357005, 0.03713432425012191, 0.023138171990673678, -0.10179622379442056, -0.001888196983685096, 0.07451006517357503, -0.14868200708180665, -0.054111774119858944, 0.13868832036852838, -0.1165946209958444, -0.1748023061081767, 0.2998646669089794, -0.05720645001779, -0.12589803686365486, 0.15279482055765886, -0.0863183597723643, -0.06567770494769017, 0.10355581987649203, 0.15594362837572892, 0.12591481529176235, -0.06870019717762868, -0.0727557993074879, -0.025981127234796682, 0.24750018406659366, 0.1159869793554147, 0.21660992459083597, 0.13535286895930768, 0.1633192345003287, 0.11269482497125864, 0.21081361591660727, -0.10188214300821224, -0.034308955731491245, -0.33718748452762765, -0.2037004955485463, -0.2215368911003073, 0.07481886740153035, -0.019185683590282377, -0.09240185362597307, 0.4493092832962672, 0.08518079776316881, 0.10059360646642744, -0.02836602385931959, 0.34747836490472156, 0.08729130071743081, 0.05663808152079582, 0.01495498492072026, 0.28839221843828755, 0.17690361770490806, 0.07366221809371686, -0.2489516671653837, 0.10373384635895491, 0.0040148590256770455]
|
707.015
|
Doping Dependence of Low-energy Spin Fluctuations in Electron-Doped
Cuprates Pr$_{1-x}$LaCe$_x$CuO$_4$
|
The low-energy spin fluctuations in the electron-doped
Pr$_{1-x}$LaCe$_{x}$CuO$_{4}$ have been investigated over a wide concentration
range of 0.07$\leqslant$ $x$ $\leqslant$0.18 that spans from the
antiferromagnetic and non-superconducting phase to the superconducting and
paramagnetic phase. For all concentrations considered, the low energy
excitations exhibit commensurate peaks centered at the ($\pi$, $\pi$) position.
Our data show that the characteristics of the excitations, such as the
relaxation rate and the overall spectral weight, change rapidly when the system
enters the superconducting phase. The spin stiffness also decreases with
increasing $x$ in the superconducting phase and is extrapolated to zero at $x$
= 0.21 when the superconductivity disappears. These indicate a close relation
between the spin fluctuations and the superconductivity in the electron-doped
system.
|
cond-mat.str-el cond-mat.stat-mech
|
the lowenergy spin fluctuations in the electrondoped pr_1xlace_xcuo_4 have been investigated over a wide concentration range of 007leqslant x leqslant018 that spans from the antiferromagnetic and nonsuperconducting phase to the superconducting and paramagnetic phase for all concentrations considered the low energy excitations exhibit commensurate peaks centered at the pi pi position our data show that the characteristics of the excitations such as the relaxation rate and the overall spectral weight change rapidly when the system enters the superconducting phase the spin stiffness also decreases with increasing x in the superconducting phase and is extrapolated to zero at x 021 when the superconductivity disappears these indicate a close relation between the spin fluctuations and the superconductivity in the electrondoped system
|
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|
[-0.1767309350717781, 0.25245379670881307, -0.03818374536692714, 0.019441935690975565, 0.030219218138462074, -0.11304668784459941, 0.1058131939269857, 0.34929133174765825, -0.2715425062765423, -0.24534835484929574, 0.016523573787397362, -0.3802626487106467, -0.061020517419291355, 0.16060728598465648, 0.05710504619945955, -0.0018985274080664683, -0.06694175646855281, 0.045211265082510874, -0.20357522909115586, -0.20483356265303415, 0.2877588582774385, 0.004593540317355058, 0.3469586702716401, 0.07542592671532662, 0.05913758075410007, 0.013509839795068162, 0.15801235887771234, -0.006632489343293202, -0.14701374621057392, -0.02789283437956857, 0.3149413104531252, -0.07552934318390858, 0.1750007881026747, -0.3626601454188936, -0.2121981737944178, 0.05859643616116582, 0.14788484005416688, 0.08636941133130692, -0.02478684328146215, -0.26968091322729987, 0.07401331378401727, -0.1338247801296604, -0.12589114038403043, -0.058871660301955335, 0.01129444281801454, 0.01648767592592372, -0.21375389268987963, 0.12500833327912836, 0.0715678899238507, 0.07620991458200937, -0.1013106727717906, -0.16628384802084512, -0.1068472439267983, 0.0688144755574604, 0.07363442563388146, 0.10778794673164017, 0.1449909151619316, -0.09073510405440362, -0.02749788917802099, 0.2957177977674665, -0.035706492733910807, -0.05896923619394119, 0.14188370352579105, -0.23878906983245388, -0.07971317922839752, 0.2256863478682617, 0.09840635711060534, 0.04680693658212057, -0.0629423752192778, 0.07091680027392264, 0.028172607668954082, 0.2346040191463171, 0.020108541784187157, 0.11567323651905052, 0.27176423184971654, 0.20681505990572846, 0.044965900705617845, 0.11689821324255477, -0.16121438779255265, -0.0630194504156263, -0.2377948922654375, -0.1460593979881328, -0.20273642145340037, 0.03905390491350912, -0.10898727233037571, -0.14861125019816762, 0.3848191269267446, 0.1541694623346512, 0.23091092130615035, -0.025674903403139777, 0.2100783595815301, 0.12342358446027288, 0.06830589143304616, 0.06968013035197161, 0.2576063865652451, 0.1639081872601667, 0.16062646431939948, -0.3345725499173133, 0.07179179687264901, -0.048125975633947514]
|
707.0151
|
Cooperative enhancement of channeling of emission from atoms into a
nanofiber
|
We show the possibility of directional \textit{guided} superradiance from a
string of atoms separated by one or several wavelengths in a line parallel to
the axis of a nanofiber. We find that the rate and efficiency of channeling of
emission from the atoms into the fiber are cooperatively enhanced by the guided
modes.
|
quant-ph
|
we show the possibility of directional textitguided superradiance from a string of atoms separated by one or several wavelengths in a line parallel to the axis of a nanofiber we find that the rate and efficiency of channeling of emission from the atoms into the fiber are cooperatively enhanced by the guided modes
|
[['we', 'show', 'the', 'possibility', 'of', 'directional', 'textitguided', 'superradiance', 'from', 'a', 'string', 'of', 'atoms', 'separated', 'by', 'one', 'or', 'several', 'wavelengths', 'in', 'a', 'line', 'parallel', 'to', 'the', 'axis', 'of', 'a', 'nanofiber', 'we', 'find', 'that', 'the', 'rate', 'and', 'efficiency', 'of', 'channeling', 'of', 'emission', 'from', 'the', 'atoms', 'into', 'the', 'fiber', 'are', 'cooperatively', 'enhanced', 'by', 'the', 'guided', 'modes']]
|
[-0.1464995823872204, 0.19111594905217105, -0.038347546745521516, -0.018634429667145014, -0.021276321441221695, -0.11146720518053581, 0.0869038773772235, 0.4599939280977616, -0.26341113469635064, -0.22328850763061872, 0.025634512723907113, -0.28060417131592447, -0.07814809556853455, 0.21881320995565218, 0.056700060573908, -0.007745928381784604, 0.044016942310218625, 0.006013368148929798, 0.010139189360555835, -0.17392783687235072, 0.29826833170731193, 0.06821417030341063, 0.2806689394100641, 0.05296425839948755, 0.08912581613717172, -0.022361169175173227, 0.015648701013280794, 0.010041869961871551, -0.08599352659817108, 0.18191180201784635, 0.18980793268061602, 0.0943246003634368, 0.2342554867410889, -0.45872584350693685, -0.2088319065873153, 0.04367766939461804, 0.17803066706535622, 0.1629223937455278, -0.05980140303010838, -0.30064618145115674, 0.05983261490025772, -0.11094543473938337, -0.11849911883473396, 0.04211727141116101, -0.008915858414883796, 0.07874164683744311, -0.22810065380942363, 0.017933342677469436, 0.09520157157497194, 0.0383153732937689, -0.0325933889253065, -0.02554947426184439, -0.04390672232525853, 0.03779125356455692, 0.05552670972135205, -0.012875545107258054, 0.17472489301760036, -0.12356990681459698, -0.1295892301445397, 0.4032021642644675, -0.10272813935835774, -0.120032850975314, 0.1651857906164458, -0.15884937718958378, -0.018397574787601255, 0.23201666303122273, 0.1666033695666836, 0.12821270070540217, -0.07619686885020481, 0.01028965559873121, 0.009875003884259898, 0.19722711767714757, 0.14629417311292714, 0.06439325135523596, 0.30491404068799544, 0.10413516452535987, 0.03922373942959194, 0.2240011256474715, -0.1545967666718822, -0.062444562083468415, -0.25647404702837007, -0.2045726768959027, -0.18024422656386518, 0.03251310523885947, -0.06127598488567925, -0.08523730564719209, 0.400437741397092, 0.10362525925470087, 0.24423273131609535, -0.01569927933339316, 0.29847927362873006, 0.06490698087817201, 0.10568975570360915, 0.027447204356296703, 0.3309307258101538, 0.12340004564836048, 0.04655135322648745, -0.28149538095861387, -0.05758983152023015, 0.007425104142524875]
|
707.0152
|
A Maurey type result for operator spaces
|
The little Grothendieck theorem for Banach spaces says that every bounded
linear operator between $C(K)$ and $\ell_2$ is 2-summing. However, it is shown
in \cite{J05} that the operator space analogue fails. Not every cb-map $v : \K
\to OH$ is completely 2-summing. In this paper, we show an operator space
analogue of Maurey's theorem : Every cb-map $v : \K \to OH$ is $(q,cb)$-summing
for any $q>2$ and hence admits a factorization $\|v(x)\| \leq c(q) \|v\|_{cb}
\|axb\|_q$ with $a,b$ in the unit ball of the Schatten class $S_{2q}$.
|
math.FA math.OA
|
the little grothendieck theorem for banach spaces says that every bounded linear operator between ck and ell_2 is 2summing however it is shown in citej05 that the operator space analogue fails not every cbmap v k to oh is completely 2summing in this paper we show an operator space analogue of maureys theorem every cbmap v k to oh is qcbsumming for any q2 and hence admits a factorization vx leq cq v_cb axb_q with ab in the unit ball of the schatten class s_2q
|
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|
[-0.13794215978049568, 0.08656368447232644, -0.06422954897950345, 0.06474341607587766, -0.06811170462707553, -0.16467885377734334, 0.018244955006432778, 0.41208848526960684, -0.3279596729604881, -0.09812012477483176, 0.06781637026557015, -0.28931974357913565, -0.14860943113041075, 0.17312184797859267, -0.14228909261100278, -0.004345940319891972, 0.059732323111612584, 0.10282889222490448, -0.10258679341265484, -0.24644328592510162, 0.3435654196935364, -0.06537181037607827, 0.1256825660673689, 0.10255493798228335, 0.10607303946007844, 0.042656699661165476, 0.03002698324278846, -0.038756532307944104, -0.14428987945345248, 0.0886788325077748, 0.30776287047074563, 0.13418097869504855, 0.3202190894450804, -0.26669520763363513, -0.14466095912635704, 0.2620076826549595, 0.08852497014346757, -0.05127024540347578, 0.008530728707585153, -0.24109935892533652, 0.13511144404028413, -0.1115951345809087, -0.1426682115732869, -0.07212097799299355, 0.15802752254884453, -0.0558097878208714, -0.3644831197253794, 0.030910923245917016, 0.1629514001262716, 0.04985187506256036, -0.10303160707360204, -0.139939640542563, -0.052598096960801866, 0.03743702832821615, -0.057090583611043945, 0.1963385041402299, 0.04351489876965768, -0.0030022068067064767, -0.07965595548665977, 0.39309828667135177, -0.10114817643137294, -0.20999850318590296, 0.08448477171043146, -0.24551768039789382, -0.1684692424657177, 0.08347733667167494, 0.019802964021322093, 0.14946627620713715, -0.0686312396833791, 0.2875573339892693, -0.1654204571622577, 0.16966070886406623, 0.10105856981340654, 0.039797852897450706, 0.036298349847474806, 0.04988576914478518, 0.1782392895532937, 0.09161844302581836, 0.02104056351877089, 0.007738042375974687, -0.3405228534454032, -0.19773498855389748, -0.20104994728595396, 0.10962880589381079, -0.10519135156255864, -0.14456552408062381, 0.2574280515078683, 0.033418253512133525, 0.19572267182690056, 0.07458074837687272, 0.2262311352629073, 0.10547103590178716, 0.061507080976344365, 0.1466201971744812, 0.13628191062355344, 0.2305453077571679, 0.06698408434049616, -0.15675778861696937, 0.019439997935455432, 0.20739635654862917]
|
707.0153
|
Anomalous giant piezoresistance in AlAs 2D electrons with anti-dot
lattices
|
An AlAs two-dimensional electron system patterned with an anti-dot lattice
exhibits a giant piezoresistance (GPR) effect, with a sign opposite to the
piezoresistance observed in the unpatterned region. We trace the origin of this
anomalous GPR to the non-uniform strain in the anti-dot lattice and the
exclusion of electrons occupying the two conduction band valleys from different
regions of the sample. This is analogous to the well-known giant
magnetoresistance (GMR) effect, with valley playing the role of spin and strain
the role of magnetic field.
|
cond-mat.mes-hall
|
an alas twodimensional electron system patterned with an antidot lattice exhibits a giant piezoresistance gpr effect with a sign opposite to the piezoresistance observed in the unpatterned region we trace the origin of this anomalous gpr to the nonuniform strain in the antidot lattice and the exclusion of electrons occupying the two conduction band valleys from different regions of the sample this is analogous to the wellknown giant magnetoresistance gmr effect with valley playing the role of spin and strain the role of magnetic field
|
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|
[-0.1782840772805845, 0.17850648431305993, -0.027020364190342233, -0.002889396311879596, -0.04274862693513141, -0.09347380882348208, 0.05887161547263317, 0.3849475971149171, -0.25822051023817894, -0.3167724137797075, -0.001608199009890942, -0.30735162251135884, -0.1365630183916758, 0.15463441510630005, 0.030018587336149614, -0.03688100370414117, -0.0230815998662044, -0.05786343938397134, -0.03999804587048643, -0.19702352867187822, 0.2760204426615554, 0.04896398950368166, 0.3187135443967931, 0.07878613741520574, 0.04124535985071869, 0.012814444103552139, 0.10824031665482942, 0.030331266298890113, -0.11935689890746931, 0.061055158730596304, 0.18676616900518317, -0.1857934964053771, 0.21161776085329406, -0.4679216844189796, -0.15141144653453548, 0.041242854253334155, 0.15985587023417738, 0.15038604714414652, -0.09338671386461048, -0.29733677236911127, 0.008377212833832292, -0.10669597025467631, -0.14984038881409695, 0.057988948961172036, 0.0008774065645411611, -0.06487825063659865, -0.2655866229577976, 0.12094865149873145, 0.10165660833830342, 0.09532438490320655, -0.08962893574498594, -0.18844977819826453, -0.0834933165460825, 0.09603514749392429, 0.0991015937699772, 0.02381890389849158, 0.18552928335197708, -0.11487943098935134, -0.14497930280152052, 0.33524293375804143, -0.07132120558389407, -0.09868199461112347, 0.14132304538370055, -0.2657023724497241, -0.025251005595440374, 0.17889343334690613, 0.15775064204764716, 0.04830411630956566, -0.12066024319433113, 0.07381574434693902, -0.051995935126700824, 0.0754932861227323, 0.05323897597434766, 0.06438090715776472, 0.3041472827686983, 0.19918379382613827, 0.06457549191682654, 0.18110170092652825, -0.24636933571275543, -0.04246241761481061, -0.1816723975380335, -0.16074867768980125, -0.23247707705287374, 0.08144053256358294, -0.10032311971539029, -0.253703764880843, 0.42036423656870336, 0.11628909558434423, 0.18834903794614707, -0.09436753551913973, 0.23817268481806797, 0.1168391310116824, 0.11597728558322963, 0.028867670773145032, 0.25153134510140207, 0.1925358974320047, 0.12208019970532726, -0.3400226283845875, 0.04299509787712904, -0.029200714552665458]
|
707.0154
|
Non-degeneracy of Wiener functionals arising from rough differential
equations
|
Malliavin Calculus is about Sobolev-type regularity of functionals on Wiener
space, the main example being the Ito map obtained by solving stochastic
differential equations. Rough path analysis is about strong regularity of
solution to (possibly stochastic) differential equations. We combine arguments
of both theories and discuss existence of a density for solutions to stochastic
differential equations driven by a general class of non-degenerate Gaussian
processes, including processes with sample path regularity worse than Brownian
motion.
|
math.PR
|
malliavin calculus is about sobolevtype regularity of functionals on wiener space the main example being the ito map obtained by solving stochastic differential equations rough path analysis is about strong regularity of solution to possibly stochastic differential equations we combine arguments of both theories and discuss existence of a density for solutions to stochastic differential equations driven by a general class of nondegenerate gaussian processes including processes with sample path regularity worse than brownian motion
|
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|
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|
707.0155
|
Balanced Cayley graphs and balanced planar graphs
|
A balanced graph is a bipartite graph with no induced circuit of length 2 mod
4. These graphs arise in linear programming. We focus on graph-algebraic
properties of balanced graphs to prove a complete classification of balanced
Cayley graphs on abelian groups. Moreover, in Section 5 of this paper, we prove
that there is no cubic balanced planar graph. Finally, some remarkable
conjectures for balanced regular graphs are also presented.
|
math.CO
|
a balanced graph is a bipartite graph with no induced circuit of length 2 mod 4 these graphs arise in linear programming we focus on graphalgebraic properties of balanced graphs to prove a complete classification of balanced cayley graphs on abelian groups moreover in section 5 of this paper we prove that there is no cubic balanced planar graph finally some remarkable conjectures for balanced regular graphs are also presented
|
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|
[-0.21991295803446267, 0.12119046763341496, -0.0036492483771365623, 0.08071832128874687, -0.11158722420425518, -0.15573491989567445, 0.007719314753320878, 0.4625125458072601, -0.23287052306198125, -0.2610993622194814, 0.10031122929902504, -0.29223003637963446, -0.23439425975759176, 0.18694021206254652, -0.13740114801212389, 0.03319845976227004, 0.16445516238151037, 0.11918769115447134, -0.03201931189286752, -0.3225882181866547, 0.34484202287875226, -0.08398715454572137, 0.17874648767368248, 0.1439325736052748, 0.0906821019353642, 0.029679327197642862, -0.04620762251695429, 0.1423780984663661, -0.20343349195489124, 0.09678219945129493, 0.29187756226114603, 0.11351100002428975, 0.1788318710050721, -0.41007412316790526, -0.14817734742942062, 0.2571933997417058, 0.03753378051624168, 0.0783236939864962, -0.021355899560359725, -0.16694618124460828, 0.16502216503537004, -0.128853311141332, -0.06871106849470432, -0.014758338675955716, 0.09009990233765997, 0.011068157527757727, -0.21851100273214388, -0.015469882357612496, 0.21083639869871346, 0.10893942271291777, 0.06677008457346886, -0.1355485275785938, -0.03781089490697975, 0.04919762425867004, -0.1318635712917624, 0.017049303008378414, 0.010107943565463242, -0.12770831143227068, -0.2449276643278806, 0.3543690890073776, 0.00784090460544668, -0.18756135758282483, 0.13036392390748244, -0.09797634112149262, -0.25568496912677324, 0.10221642726168469, 0.16166138125286586, 0.12599004923190543, -0.06599825677340446, 0.11433428038667509, -0.1455499179445315, 0.17077228599700375, 0.17039027581315325, -0.02455488595423167, 0.06703516318584266, 0.16953953061306823, 0.16062510274080694, 0.2359986550755043, 0.08961931001934884, -0.02228321907097015, -0.27257515206609084, -0.08619516008142111, -0.18894495694911567, 0.0929522434067305, -0.19402279490200075, -0.2515844183643281, 0.4382467965554932, 0.052928033581786396, 0.13933774064956367, 0.13772345866090147, 0.2017601983000835, 0.042764249379220215, 0.025575793685688488, 0.16520331851274206, 0.14582935853842713, 0.21410585248309688, -0.04714066108715707, -0.12404819604927216, -0.023580733804788062, 0.11879007083674271]
|
707.0156
|
Historical pseudo simplified solution of the Dirac-Coulomb equation
|
One of the simplified solutions of the Dirac equations with the pure Coulomb
potential given in a paper published in 1985 is pseudo. The original paper
solved the Dirac equations by introducing a transformation of functions with
two strange parameters a and b to transform the original system of the
first-order differential equations into two uncoupled differential equations of
second order. However, not only the given eigenvalues sets violate the
uniqueness of solution but also the said second-order equations are not any
necessarily mathematical deduction. In order to determine the introduced
parameters, formally, the author actually introduced some self-contradictory
mathematical formulas, such as sinh(theta)=2ab, cosh(theta)=a^2+b^2,
tanh(theta)=-Z(alpha)/k, a^2-b^2=1, b=sinh((theta/2), a=cosh((theta/2). But one
has not known the value of the parameters a and b all the while, whereas the
parameters were insensibly deleted in the given second-order Dirac-Coulomb
equation last. One cannot recover any result given in the paper by making
corresponding correctly mathematical calculations.
|
physics.gen-ph
|
one of the simplified solutions of the dirac equations with the pure coulomb potential given in a paper published in 1985 is pseudo the original paper solved the dirac equations by introducing a transformation of functions with two strange parameters a and b to transform the original system of the firstorder differential equations into two uncoupled differential equations of second order however not only the given eigenvalues sets violate the uniqueness of solution but also the said secondorder equations are not any necessarily mathematical deduction in order to determine the introduced parameters formally the author actually introduced some selfcontradictory mathematical formulas such as sinhtheta2ab coshthetaa2b2 tanhthetazalphak a2b21 bsinhtheta2 acoshtheta2 but one has not known the value of the parameters a and b all the while whereas the parameters were insensibly deleted in the given secondorder diraccoulomb equation last one cannot recover any result given in the paper by making corresponding correctly mathematical calculations
|
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|
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|
707.0157
|
Nodal curves with general moduli on K3 surfaces
|
We investigate the modular properties of nodal curves on a low genus K3
surface. We prove that a general genus g curve C is the normalization of a
d-nodal curve X sitting on a primitively polarized K3 surface S of degree 2p-2,
for p any integer between 3 and 11 and g = p - d between 2 and p.
The proof is based on a local deformation-theoretic analysis of the map from
the stack of pairs (S,X) to the moduli space of curves of genus g that
associates to X the isomorphism class [C] of its normalization.
|
math.AG
|
we investigate the modular properties of nodal curves on a low genus k3 surface we prove that a general genus g curve c is the normalization of a dnodal curve x sitting on a primitively polarized k3 surface s of degree 2p2 for p any integer between 3 and 11 and g p d between 2 and p the proof is based on a local deformationtheoretic analysis of the map from the stack of pairs sx to the moduli space of curves of genus g that associates to x the isomorphism class c of its normalization
|
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|
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|
707.0158
|
Distinguishing Active Galactic Nuclei and Star Formation
|
Using the large emission line galaxy sample from the Sloan Digital Sky Survey
we show that Star forming galaxies, Seyferts, and low-ionization nuclear
emission-line regions (LINERs) form clearly separated branches on the standard
optical diagnostic diagrams. We derive a new empirical classification scheme
which cleanly separates these emission-line galaxies, using strong optical
emission lines. Using this classification we identify a few distinguishing host
galaxy properties of each class, which, along with the emission line analysis,
suggest continuous evolution from one class to another. As a final note, we
introduce models of both Starforming galaxies and AGN narrow line regions which
can explain the distribution of galaxies on standard emission line ratio
diagrams, and possibly suggest new diagnostics across the emission spectrum.
|
astro-ph
|
using the large emission line galaxy sample from the sloan digital sky survey we show that star forming galaxies seyferts and lowionization nuclear emissionline regions liners form clearly separated branches on the standard optical diagnostic diagrams we derive a new empirical classification scheme which cleanly separates these emissionline galaxies using strong optical emission lines using this classification we identify a few distinguishing host galaxy properties of each class which along with the emission line analysis suggest continuous evolution from one class to another as a final note we introduce models of both starforming galaxies and agn narrow line regions which can explain the distribution of galaxies on standard emission line ratio diagrams and possibly suggest new diagnostics across the emission spectrum
|
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|
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|
707.0159
|
Direct Extension of Density-Matrix Renormalization Group toward
2-Dimensional Quantum Lattice Systems: Studies for Parallel Algorithm,
Accuracy, and Performance
|
We parallelize density-matrix renormalization group to directly extend it to
2-dimensional ($n$-leg) quantum lattice models. The parallelization is made
mainly on the exact diagonalization for the superblock Hamiltonian since the
part requires an enormous memory space as the leg number $n$ increases. The
superblock Hamiltonian is divided into three parts, and the correspondent
superblock vector is transformed into a matrix, whose elements are uniformly
distributed into processors. The parallel efficiency shows a high rate as the
number of the states kept $m$ increases, and the eigenvalue converges within
only a few sweeps in contrast to the multichain algorithm.
|
cond-mat.str-el
|
we parallelize densitymatrix renormalization group to directly extend it to 2dimensional nleg quantum lattice models the parallelization is made mainly on the exact diagonalization for the superblock hamiltonian since the part requires an enormous memory space as the leg number n increases the superblock hamiltonian is divided into three parts and the correspondent superblock vector is transformed into a matrix whose elements are uniformly distributed into processors the parallel efficiency shows a high rate as the number of the states kept m increases and the eigenvalue converges within only a few sweeps in contrast to the multichain algorithm
|
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|
[-0.1795510380357808, 0.15868430632794375, -0.032331790432942153, -0.0028850121663560216, -0.047094350022605945, -0.12835139496613066, 0.047770697014092714, 0.36797549394054374, -0.29395388788068477, -0.28002839410031327, 0.09367604389173757, -0.29325946319696244, -0.07248095021231518, 0.15634546800735122, 0.0075324354788326485, 0.039938824289307305, 0.08075219234546685, 0.0739534340836868, -0.08824511735738085, -0.27248137896614416, 0.22282685499224925, 0.02699221598283787, 0.2630910505683218, -0.0086981389619296, 0.10984712295538308, 0.03290042236010183, -0.0029714184490089515, 0.006755882370159771, -0.0410303619253088, 0.0844297263698833, 0.22473572873931683, 0.07316694597295505, 0.2911651646385768, -0.43551899061291194, -0.15278005767233518, 0.07524819413618165, 0.2170698573024069, 0.09450333966987626, -0.0003874778274769838, -0.2603842439605113, 0.07509530860246444, -0.17422784878682268, -0.09387364696559249, -0.06848329112019237, 0.018942494249465515, -0.022795602751715223, -0.24453728643188977, 0.010696657025730428, 0.021485582982399026, -0.006692050514286574, -0.01612090287083874, -0.1477961798331567, -0.019701434850540697, 0.14061861671982523, 0.01211293387863481, 0.04089316699359262, 0.12809970650384772, -0.06978603552228638, -0.04613566966442277, 0.38484617941347615, -0.02942985409813724, -0.23958867693281904, 0.1429098126429789, -0.08078138569693025, -0.12201067875436393, 0.14123220874082146, 0.13921758886046556, 0.10170123034289905, -0.09458730568425083, 0.15419162706144116, -0.03519098109052497, 0.20303571641407148, -0.0019282150790285394, 0.0012652153358319585, 0.1463242493408295, 0.14576112240438863, 0.09180498664381401, 0.1758521391382935, -0.04176686744191399, -0.17988751114022974, -0.2472941226287916, -0.18276460665843583, -0.2642431365188249, 0.054222689783533236, -0.10007474712560628, -0.17577422656622543, 0.39879493622052276, 0.09864268141171458, 0.2348563733403167, 0.08348830694294705, 0.2995705735128449, 0.12800604323333853, 0.12732260718903676, 0.13019255595756885, 0.16011173163816256, 0.16832828386544194, 0.05443526615509858, -0.2576468781739169, -0.0029910752663806993, 0.12426120325998992]
|
707.016
|
Temperature-dependent photoemission spectral weight transfer and
chemical potential shift in Pr$_{1-x}$Ca$_x$MnO$_3$ : Implications for charge
density modulation
|
We have studied the temperature dependence of the photoemission spectra of
Pr$_{1-x}$Ca$_x$MnO$_3$ (PCMO) with $x=0.25$, 0.3 and 0.5. For $x=0.3$ and 0.5,
we observed a gap in the low-temperature CE-type charge-ordered (CO) phase and
a pseudogap with a finite intensity at the Fermi level ($E_F$) in the
high-temperature paramagnetic insulating (PI) phase. Within the CO phase, the
spectral intensity near $E_F$ gradually increased with temperature. These
observations are consistent with the results of Monte Carlo simulations on a
model including charge ordering and ferromagnetic fluctuations [H. Aliaga {\it
et al.} Phys. Rev. B {\bf 68}, 104405 (2003)]. For $x=0.25$, on the other hand,
little temperature dependence was observed within the low-temperature
ferromagnetic insulating (FI) phase and the intensity at $E_F$ remained low in
the high-temperature PI phase. We attribute the difference in the temperature
dependence near $E_F$ between the CO and FI phases to the different correlation
lengths of orbital order between both phases. Furthermore, we observed a
chemical potential shift with temperature due to the opening of the gap in the
FI and CO phases. The doping dependent chemical potential shift was recovered
at low temperatures, corresponding to the disappearance of the doping dependent
change of the modulation wave vector. Spectral weight transfer with hole
concentration was clearly observed at high temperatures but was suppressed at
low temperatures. We attribute this observation to the fixed periodicity with
hole doping in PCMO at low temperatures.
|
cond-mat.str-el cond-mat.mtrl-sci
|
we have studied the temperature dependence of the photoemission spectra of pr_1xca_xmno_3 pcmo with x025 03 and 05 for x03 and 05 we observed a gap in the lowtemperature cetype chargeordered co phase and a pseudogap with a finite intensity at the fermi level e_f in the hightemperature paramagnetic insulating pi phase within the co phase the spectral intensity near e_f gradually increased with temperature these observations are consistent with the results of monte carlo simulations on a model including charge ordering and ferromagnetic fluctuations h aliaga it et al phys rev b bf 68 104405 2003 for x025 on the other hand little temperature dependence was observed within the lowtemperature ferromagnetic insulating fi phase and the intensity at e_f remained low in the hightemperature pi phase we attribute the difference in the temperature dependence near e_f between the co and fi phases to the different correlation lengths of orbital order between both phases furthermore we observed a chemical potential shift with temperature due to the opening of the gap in the fi and co phases the doping dependent chemical potential shift was recovered at low temperatures corresponding to the disappearance of the doping dependent change of the modulation wave vector spectral weight transfer with hole concentration was clearly observed at high temperatures but was suppressed at low temperatures we attribute this observation to the fixed periodicity with hole doping in pcmo at low temperatures
|
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|
[-0.13246222572748914, 0.23533349294293385, -0.02495103503493472, 0.01167749385739169, 0.004573871853760813, -0.12612328025044736, 0.15777676693631473, 0.41824085755391616, -0.24740394037776495, -0.32860306263881306, -0.0021511035673560117, -0.3581477617405259, -0.05060952652021923, 0.11775347674885053, 0.03768382256834612, -0.01303282980267518, -0.09439938188662408, -0.04274925132393997, -0.1982989899485368, -0.19865672587758818, 0.2661631648291838, 0.07994513666704936, 0.30251024579909097, 0.1183502535523583, 0.025435877532214567, -0.03416540862916461, 0.10093681615789304, 0.0055406786593340755, -0.1847208457291446, -0.0333811266911356, 0.27786925098111315, -0.11685742588180154, 0.15512509118213993, -0.357707689997896, -0.2122018189427279, 0.02251146010287074, 0.08985665326842103, 0.09383942057526483, -0.046460948263938526, -0.2603523980730209, 0.03638506827120521, -0.12856488653294773, -0.12187838972827955, -0.050442410716906895, 0.030259700731849977, -0.02740935357327497, -0.24195146091410275, 0.17387607380799758, 0.02633411989421404, 0.12603211404791687, -0.11761207795150322, -0.18057370448461035, -0.12664213839542648, 0.024896837986781873, 0.04062354564566821, 0.10809367712721521, 0.13421212967840931, -0.0645512587065077, -0.041931632404313565, 0.28566017065820776, -0.09164993558728532, -0.00775482094159166, 0.20179766815059813, -0.26570925349288455, -0.09623227508882533, 0.229553054562518, 0.060042770478530696, 0.07326604601304554, -0.0774875127179788, 0.09016392251967288, 0.05810974168601444, 0.2193480824228264, 0.07167337192502272, 0.05901617309790057, 0.27216531211198525, 0.18288030329484156, -0.006669454927088557, 0.09777538699538611, -0.207754750422286, -0.06050055028292123, -0.21271222197878387, -0.11349902493212684, -0.20707067460333328, 0.02758951620577261, -0.09900063726919366, -0.1531286526495359, 0.3895207084355628, 0.1581741104830784, 0.2632544607287792, -0.048948642927673626, 0.220167903781193, 0.15177774104757372, 0.029878095363200814, 0.0672705736802691, 0.2416327049777855, 0.1634084555028654, 0.19068761039605212, -0.3185123332070143, 0.08601399114349949, -0.020718060741640724]
|
707.0161
|
Jet Cross-Sections and alphas in DIS at HERA
|
Measurements of inclusive-jet and dijet cross-sections in high-Q2
deep-inelastic scattering are presented together with a short overview of
extractions of the strong coupling parameter alpha_S from jets. The data
samples used were collected with the ZEUS detector at HERA-1 and HERA-2. The
measured distributions are compared to QCD calculations in next-to-leading
order which describe the data very well. The various determinations of alpha_S
give a consistent picture, have competitive uncertainties and clearly
demonstrate the running of the coupling predicted by QCD.
|
hep-ex
|
measurements of inclusivejet and dijet crosssections in highq2 deepinelastic scattering are presented together with a short overview of extractions of the strong coupling parameter alpha_s from jets the data samples used were collected with the zeus detector at hera1 and hera2 the measured distributions are compared to qcd calculations in nexttoleading order which describe the data very well the various determinations of alpha_s give a consistent picture have competitive uncertainties and clearly demonstrate the running of the coupling predicted by qcd
|
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|
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|
707.0162
|
AGN dust tori at low and high luminosities
|
A cornerstone of AGN unification schemes is the presence of an optically and
geometrically thick dust torus. It provides the obscuration to explain the
difference between type 1 and type 2 AGN. We investigate the influence of the
dust distribution on the Eddington limit of the torus. For smooth dust
distributions, the Eddingtion limit on the dust alone is 5 orders of magnitudes
below the limit for electron scattering in a fully ionized plasma, while a
clumpy dust torus has an Eddington limit slightly larger than the classical
one. We study the behaviour of a clumpy torus at low and high AGN luminosities.
For low luminosities of the order of ~10^42 erg/s, the torus changes its
characteristics and obscuration becomes insufficient. In the high luminosity
regime, the clumpy torus can show a behaviour which is consistent with the
"receding torus" picture. The derived luminosity-dependent fraction of
type-2-objects agrees with recent observational results. Moreover, the
luminosity-dependent covering factor in a clumpy torus may explain the presence
of broad-line AGN with high column densities in X-rays.
|
astro-ph
|
a cornerstone of agn unification schemes is the presence of an optically and geometrically thick dust torus it provides the obscuration to explain the difference between type 1 and type 2 agn we investigate the influence of the dust distribution on the eddington limit of the torus for smooth dust distributions the eddingtion limit on the dust alone is 5 orders of magnitudes below the limit for electron scattering in a fully ionized plasma while a clumpy dust torus has an eddington limit slightly larger than the classical one we study the behaviour of a clumpy torus at low and high agn luminosities for low luminosities of the order of 1042 ergs the torus changes its characteristics and obscuration becomes insufficient in the high luminosity regime the clumpy torus can show a behaviour which is consistent with the receding torus picture the derived luminositydependent fraction of type2objects agrees with recent observational results moreover the luminositydependent covering factor in a clumpy torus may explain the presence of broadline agn with high column densities in xrays
|
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|
[-0.06568776811419239, 0.09790078099703314, -0.035417050917261425, 0.14244244317591429, -0.053004548072039734, -0.06986822878048254, 0.026516860034693612, 0.4398682178401878, -0.13997071178231626, -0.2861400608705475, 0.10313867535065278, -0.27148807946743303, 0.041561351122732966, 0.18841510299980813, -0.0724721826139213, -0.05389883944184676, -0.06924762490011666, -0.14628136293381194, -0.06359209715539449, -0.23378018463148892, 0.3454862303622713, 0.08523559351613196, 0.19689000249238728, 0.036136846251198965, 0.10930667700504378, -0.0915507884168556, -0.042861568588074404, -0.022457209948687194, -0.13645269782738317, 0.07391254178008955, 0.2146699265186605, 0.02684800492228154, 0.18573909676822192, -0.3630015122720358, -0.2524925369144864, 0.0714834409044528, 0.17155591957809435, 0.01508122666757769, 0.00521694639067817, -0.16300856042384154, 0.02815554526128478, -0.2448197901706518, -0.22577353934568994, 0.07884585324168808, 0.064747588902798, -0.0021107390881623706, -0.23077331030084564, 0.12747562952161998, 0.07756738358236462, 0.06860752388292579, -0.08586244229186929, -0.03870282548269784, -0.06330139317544382, 0.03624528919675016, 0.05749064018328087, 0.05976414840232387, 0.22233000277902262, -0.2021155047669167, -0.03741190400555988, 0.40431080775260064, -0.07637430416836304, -0.03924835652026827, 0.2300882082462117, -0.24090937742521998, -0.13432329134326537, 0.24591604905536754, 0.1299335474546762, 0.10448863359055122, -0.051597177377037944, 0.034235541807350334, -0.10490262653743256, 0.24399211512867772, -0.02377756604806364, 0.06818099440522277, 0.3055174252455058, 0.12014709678451622, 0.03896296281916644, 0.1272814352821688, -0.17997185236402932, -0.03865970673599426, -0.29069952996844034, -0.058578609830748314, -0.13847916496842239, 0.17267292788699054, -0.22406682866521857, -0.12578312228527996, 0.2996387165039778, 0.06924338189574131, 0.2782656273325485, 0.07140118842304387, 0.2978289094565146, 0.14601194902627346, 0.04661533136372966, 0.154379570059952, 0.3130180689080947, 0.16820971168728405, 0.05909419922774518, -0.2565324919303675, 0.07759700364478987, 0.06812422990669749]
|
707.0163
|
Last multipliers for multivectors with applications to Poisson geometry
|
The theory of the last multipliers as solutions of the Liouville's transport
equation, previously developed for vector fields, is extended here to general
multivectors. Characterizations in terms of Witten and Marsden differentials
are reobtained as well as the algebraic structure of the set of multivectors
with a common last multiplier, namely Gerstenhaber algebra. Applications to
Poisson bivectors are presented by obtaining that last multipliers count for
''how far away'' is a Poisson structure from being exact with respect to a
given volume form. The notion of exact Poisson cohomology for an unimodular
Poisson structure on $IR^{n}$ is introduced.
|
math.DG math-ph math.MP
|
the theory of the last multipliers as solutions of the liouvilles transport equation previously developed for vector fields is extended here to general multivectors characterizations in terms of witten and marsden differentials are reobtained as well as the algebraic structure of the set of multivectors with a common last multiplier namely gerstenhaber algebra applications to poisson bivectors are presented by obtaining that last multipliers count for how far away is a poisson structure from being exact with respect to a given volume form the notion of exact poisson cohomology for an unimodular poisson structure on irn is introduced
|
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|
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|
707.0164
|
Coherent control of vacuum squeezing in the Gravitational-Wave Detection
Band
|
We propose and demonstrate a coherent control scheme for stable phase locking
of squeezed vacuum fields. We focus on sideband fields at frequencies from 10Hz
to 10kHz which is a frequency regime of particular interest in gravitational
wave detection and for which conventional control schemes have failed so far. A
vacuum field with broadband squeezing covering this entire band was produced
using optical parametric oscillation and characterized with balanced homodyne
detection. The system was stably controlled over long periods utilizing two
coherent but frequency shifted control fields. In order to demonstrate the
performance of our setup the squeezed field was used for a nonclassical
sensitivity improvement of a Michelson interferometer at audio frequencies.
|
quant-ph
|
we propose and demonstrate a coherent control scheme for stable phase locking of squeezed vacuum fields we focus on sideband fields at frequencies from 10hz to 10khz which is a frequency regime of particular interest in gravitational wave detection and for which conventional control schemes have failed so far a vacuum field with broadband squeezing covering this entire band was produced using optical parametric oscillation and characterized with balanced homodyne detection the system was stably controlled over long periods utilizing two coherent but frequency shifted control fields in order to demonstrate the performance of our setup the squeezed field was used for a nonclassical sensitivity improvement of a michelson interferometer at audio frequencies
|
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|
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|
707.0165
|
Algorithmic Problems in Amalgams of Finite Groups: Conjugacy and
Intersection Properties
|
Geometric methods proposed by Stallings for treating finitely generated
subgroups of free groups were successfully used to solve a wide collection of
decision problems for free groups and their subgroups.
In the present paper we employ the generalized Stallings' methods, developed
by the author, to solve various algorithmic problems concerning finitely
generated subgroups of amalgams of finite groups.
|
math.GR
|
geometric methods proposed by stallings for treating finitely generated subgroups of free groups were successfully used to solve a wide collection of decision problems for free groups and their subgroups in the present paper we employ the generalized stallings methods developed by the author to solve various algorithmic problems concerning finitely generated subgroups of amalgams of finite groups
|
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|
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|
707.0166
|
Demonstration of a squeezed light enhanced power- and signal-recycled
Michelson interferometer
|
We report on the experimental combination of three advanced interferometer
techniques for gravitational wave detection, namely power-recycling, detuned
signal-recycling and squeezed field injection. For the first time we
experimentally prove the compatibility of especially the latter two. To achieve
a broadband non-classical sensitivity improvement we applied a filter cavity
for compensation of quadrature rotation. Signal to noise ratio was improved by
up to 2.8 dB beyond the coherent state's shot noise. The complete set-up was
stably locked for arbitrary times and characterized by injected single-sideband
modulation fields.
|
quant-ph
|
we report on the experimental combination of three advanced interferometer techniques for gravitational wave detection namely powerrecycling detuned signalrecycling and squeezed field injection for the first time we experimentally prove the compatibility of especially the latter two to achieve a broadband nonclassical sensitivity improvement we applied a filter cavity for compensation of quadrature rotation signal to noise ratio was improved by up to 28 db beyond the coherent states shot noise the complete setup was stably locked for arbitrary times and characterized by injected singlesideband modulation fields
|
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|
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|
707.0167
|
The random Tukey depth
|
The computation of the Tukey depth, also called halfspace depth, is very
demanding, even in low dimensional spaces, because it requires the
consideration of all possible one-dimensional projections. In this paper we
propose a random depth which approximates the Tukey depth. It only takes into
account a finite number of one-dimensional projections which are chosen at
random. Thus, this random depth requires a very small computation time even in
high dimensional spaces. Moreover, it is easily extended to cover the
functional framework.
We present some simulations indicating how many projections should be
considered depending on the sample size and on the dimension of the sample
space. We also compare this depth with some others proposed in the literature.
It is noteworthy that the random depth, based on a very low number of
projections, obtains results very similar to those obtained with other depths.
|
stat.CO
|
the computation of the tukey depth also called halfspace depth is very demanding even in low dimensional spaces because it requires the consideration of all possible onedimensional projections in this paper we propose a random depth which approximates the tukey depth it only takes into account a finite number of onedimensional projections which are chosen at random thus this random depth requires a very small computation time even in high dimensional spaces moreover it is easily extended to cover the functional framework we present some simulations indicating how many projections should be considered depending on the sample size and on the dimension of the sample space we also compare this depth with some others proposed in the literature it is noteworthy that the random depth based on a very low number of projections obtains results very similar to those obtained with other depths
|
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|
[-0.07026609766355657, 0.13903617794736178, -0.06401880946778855, 0.063390662265173, -0.058483044880644215, -0.1384288254649854, 0.04091960036967575, 0.4085555607257606, -0.2775372711329402, -0.2685212393558317, 0.14536295771286203, -0.2298760902561114, -0.1259926768618968, 0.21635630385546417, -0.09947339477875576, 0.04706560959713859, 0.0711063121777627, 0.052664032700907935, -0.0731398299482156, -0.32876167893800495, 0.2979050104236035, 0.034008307923022264, 0.2717667081543095, 0.017446019351352135, 0.09916577486881425, 0.02974085900541786, -0.04710427414091838, 0.10214560419965008, -0.10494434995882228, 0.13430823720144955, 0.24096626891279138, 0.10699453153907992, 0.2611290879182882, -0.40684380904570716, -0.21683496313651543, 0.11670999325017307, 0.11988680466026119, 0.11526335814114581, -0.014605795527430628, -0.24028743657778454, 0.07416741551922543, -0.10571842000923946, -0.09137308863284704, -0.09461211834723209, 0.04179865718734535, -0.008601451045149689, -0.25192667062596213, 0.015855972670992327, 0.07554791486737403, 0.035943241474068875, -0.040094227924083285, -0.13866287631217156, -1.0773920538750561e-05, 0.09281457147489373, 0.006041832435941258, 0.02988804226832373, 0.06696916086488514, -0.11737700387596567, -0.010899101136499768, 0.3933533480084807, -0.026963445247261675, -0.21711915728824954, 0.2455368957960965, -0.17531979878569817, -0.14688745715127854, 0.14218242979491247, 0.15832469588018616, 0.10541166136549278, -0.09288653684780002, 0.10515706794062903, -0.1044488931253839, 0.17226225132134032, 0.0626940310059988, 0.05261031350355361, 0.14482587052287754, 0.17767196534188479, 0.09967609447992075, 0.14443793525338056, -0.1377610540737144, -0.06851992575847381, -0.2827271312813867, -0.12889704964582815, -0.21584497235953104, 0.018891719217132126, -0.12232544010338599, -0.1864051258100288, 0.37529970630938253, 0.19477306185469317, 0.26332060097215265, 0.11026863417697262, 0.31709933653799494, 0.13794631433471308, 0.08463882439984725, 0.0829204094524567, 0.17239342399887495, 0.09645987727102934, 0.056761216600197596, -0.1282639155234373, 0.07310662719818366, 0.0751812758552679]
|
707.0168
|
Hawking radiation of a vector field and gravitational anomalies
|
Recently, the relation between Hawking radiation and gravitational anomalies
has been used to estimate the flux of Hawking radiation for a large class of
black objects. In this paper, we extend the formalism, originally proposed by
Robinson and Wilczek, to the Hawking radiation of vector particles (photons).
It is explicitly shown, with Hamiltonian formalism, that the theory of an
electromagnetic field on d-dimensional spherical black holes reduces to one of
an infinite number of massive complex scalar fields on 2-dimensional spacetime,
for which the usual anomaly-cancellation method is available. It is found that
the total energy emitted from the horizon for the electromagnetic field is just
(d-2) times as that for a scalar field. The results support the picture that
Hawking radiation can be regarded as an anomaly eliminator on horizons.
Possible extensions and applications of the analysis are discussed.
|
hep-th gr-qc
|
recently the relation between hawking radiation and gravitational anomalies has been used to estimate the flux of hawking radiation for a large class of black objects in this paper we extend the formalism originally proposed by robinson and wilczek to the hawking radiation of vector particles photons it is explicitly shown with hamiltonian formalism that the theory of an electromagnetic field on ddimensional spherical black holes reduces to one of an infinite number of massive complex scalar fields on 2dimensional spacetime for which the usual anomalycancellation method is available it is found that the total energy emitted from the horizon for the electromagnetic field is just d2 times as that for a scalar field the results support the picture that hawking radiation can be regarded as an anomaly eliminator on horizons possible extensions and applications of the analysis are discussed
|
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|
[-0.10229553413835334, 0.15758658039311144, -0.08298393972377166, 0.12052565911284768, -0.08781891893059444, -0.09208143886393137, -0.048238246795460044, 0.3037064807563216, -0.15676006276776894, -0.3026994667317477, 0.05996898417076324, -0.30839089327659325, -0.13745078300971791, 0.22518714959900693, -0.03879756204115575, 0.0319712253140031, -0.020848652731925384, 0.08783781266329047, -0.03276933495184782, -0.2271539077544652, 0.3619022161746733, 0.12359331785399708, 0.25296505846136763, 0.06761007370316698, 0.12381839782347996, 0.03369732235856488, -0.010339369963881353, 0.06533770644099271, -0.09647217596711075, 0.057123513496145875, 0.18657307144549254, 0.1512664838370753, 0.18192608132556404, -0.40769840449952394, -0.2894248713156302, 0.12051851022988558, 0.12860800362051392, 0.14797326530540938, -0.0662516281044315, -0.2826121891681239, 0.0707256192636254, -0.19666311054376603, -0.13792557707190406, -0.03076923403406529, 0.07416766845091856, -0.06501312922391532, -0.23028235359237992, 0.05294341996325542, 0.0717263163089176, -0.029856012353552973, -0.10236965524863532, -0.03992892914324356, -0.013207045939864872, 0.06746998954256125, 0.1276482125382415, 0.049214653978995285, 0.15806673400157648, -0.09082583608541289, -0.12986952778858152, 0.37310458625928106, -0.08070638896595927, -0.1969979054314627, 0.1682740919737534, -0.15596907893731762, -0.07170842010393846, 0.16479389816723602, 0.1273847268525806, 0.17667455166551493, -0.16867816372499836, 0.14980954141732936, -0.036917642743842634, 0.12368603799786927, 0.09587061679888544, 0.04322672630459231, 0.30349592465853736, 0.06922146439110097, 0.010477140981355588, 0.16571307424606635, -0.05224276143930209, -0.07658242159430943, -0.3349691076914398, -0.19864737783126715, -0.21842586849447634, 0.08349241686251228, -0.09969081218543265, -0.16816696786659222, 0.321568406769912, 0.15329015470719595, 0.13724951957278758, 0.024463277542126103, 0.2895390440743861, 0.1528553569935624, 0.0772623746930588, 0.07940490847359673, 0.29801052759180396, 0.18670465157487892, 0.13137935222253846, -0.2206842081483936, -0.07749044338053615, 0.07297117460565977]
|
707.0169
|
The James Clerk Maxwell Telescope Legacy Survey of Nearby Star-forming
Regions in the Gould Belt
|
This paper describes a James Clerk Maxwell Telescope (JCMT) legacy survey
that has been awarded roughly 500 hrs of observing time to be carried out from
2007 to 2009. In this survey we will map with SCUBA-2 (Submillimetre Common
User Bolometer Array 2) almost all of the well-known low-mass and
intermediate-mass star-forming regions within 0.5 kpc that are accessible from
the JCMT. Most of these locations are associated with the Gould Belt. From
these observations we will produce a flux-limited snapshot of star formation
near the Sun, providing a legacy of images, as well as point-source and
extended-source catalogues, over almost 700 square degrees of sky. The
resulting images will yield the first catalogue of prestellar and protostellar
sources selected by submillimetre continuum emission, and should increase the
number of known sources by more than an order of magnitude. We will also obtain
CO maps with the array receiver HARP (Heterodyne Array Receiver Programme), in
three CO isotopologues, of a large typical sample of prestellar and
protostellar sources. We will then map the brightest hundred sources with the
SCUBA-2 polarimeter (POL-2), producing the first statistically significant set
of polarization maps in the submillimetre. The images and source catalogues
will be a powerful reference set for astronomers, providing a detailed legacy
archive for future telescopes, including ALMA, Herschel and JWST.
|
astro-ph
|
this paper describes a james clerk maxwell telescope jcmt legacy survey that has been awarded roughly 500 hrs of observing time to be carried out from 2007 to 2009 in this survey we will map with scuba2 submillimetre common user bolometer array 2 almost all of the wellknown lowmass and intermediatemass starforming regions within 05 kpc that are accessible from the jcmt most of these locations are associated with the gould belt from these observations we will produce a fluxlimited snapshot of star formation near the sun providing a legacy of images as well as pointsource and extendedsource catalogues over almost 700 square degrees of sky the resulting images will yield the first catalogue of prestellar and protostellar sources selected by submillimetre continuum emission and should increase the number of known sources by more than an order of magnitude we will also obtain co maps with the array receiver harp heterodyne array receiver programme in three co isotopologues of a large typical sample of prestellar and protostellar sources we will then map the brightest hundred sources with the scuba2 polarimeter pol2 producing the first statistically significant set of polarization maps in the submillimetre the images and source catalogues will be a powerful reference set for astronomers providing a detailed legacy archive for future telescopes including alma herschel and jwst
|
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|
[-0.0702918076937695, 0.06487432621347933, -0.037940412534192974, 0.03125877300655835, -0.11961684818485896, -0.03541795246209524, 0.02570673184667089, 0.4420936171764925, -0.14600759771860897, -0.3756546179772478, 0.12968087990791644, -0.3374229030658121, -0.03381604911040804, 0.20163733884479562, -0.0005555651076223072, -0.012685716630078716, 0.10052904869816755, -0.17343559732754207, 0.008373423098157516, -0.29837755059140847, 0.26957151906556326, 0.18125813019878687, 0.1514114949035726, -0.07457704760334093, 0.11586522684564397, -0.14316743120899825, -0.1653961373905579, -0.019916999630085683, -0.13180776743810213, 0.027611108471269477, 0.33283277950568557, 0.17723060132973917, 0.2007069509523202, -0.34553115972254367, -0.15510919145372223, 0.08681788072510958, 0.13454643871829092, 0.04542601369661555, 0.021066409462016208, -0.3605497452455943, 0.057993643623978734, -0.14572807298731336, -0.15928901552932856, 0.0581070663892243, 0.01171338067392151, 0.06500773357661212, -0.19727663180342192, 0.021613400314533744, -0.04976088661045584, 0.12054948120156822, -0.13074938691280713, -0.17757612513803525, -0.0545371788778219, 0.13572384002201204, -0.08489463724127916, 0.1263286881292341, 0.14206218185300884, -0.1478910526179934, -0.04245544766122688, 0.3788746547168674, -0.09141365922946264, 0.004280261674121906, 0.19557735242481666, -0.23955499879871262, -0.20618083489142872, 0.1962142688398713, 0.15161525347370008, 0.1061792851970042, -0.20484058091365923, 0.0047840140528709, -0.053563863579098765, 0.24141453121965284, 0.08612540092842322, 0.09257707029121788, 0.33942416300954614, 0.11134952465476272, 0.10343418118743795, 0.1987534221208582, -0.3259197482459149, -0.037155721914958736, -0.28312252507147434, -0.1220198245517076, -0.16829482421489458, 0.1266947524126653, -0.07972940189300634, -0.07408912526549916, 0.31970404710867295, 0.16599977383768552, 0.11217071243123786, 0.08923520988436016, 0.3319230915459732, -0.02312126666502538, 0.13601480604077107, 0.06935352575752594, 0.2765911994714579, 0.10877312517716425, 0.15402012983215846, -0.10462944440811567, -0.021806176428653335, -0.03205975774129678]
|
707.017
|
Elementary constructive approach to the higher-rank numerical ranges of
unitary matrices
|
Some problems of the quantum error-correcting codes theory can be reduced to
the investigation of the higher-rank numerical ranges of the operators related
to the error operators. We constructively verify a conjecture on the structure
of higher-rank numerical range for unitary matrices.
|
quant-ph
|
some problems of the quantum errorcorrecting codes theory can be reduced to the investigation of the higherrank numerical ranges of the operators related to the error operators we constructively verify a conjecture on the structure of higherrank numerical range for unitary matrices
|
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|
[-0.1767820240375364, 0.11756866458537323, -0.058551630714819544, 0.08359163893120629, -0.04420355049937609, -0.1358462027384944, 0.02897054042633889, 0.3347469988234696, -0.33523130594264894, -0.2484040582397332, 0.14887750178708561, -0.2714199116619836, -0.16380528873941375, 0.24476495345256158, -0.07780795049897972, 0.147096065848711, 0.11112003383182344, 0.028212515193791615, -0.18797828997707083, -0.2873323710602043, 0.36484431157199043, 0.09283219919528901, 0.1824415469808238, 0.1180209501354035, 0.04326493757599521, -0.03478196456230113, -0.02143036359034124, -0.01772777195132914, -0.14981019450351596, 0.16163197301682972, 0.30561466741242577, 0.10699160603274192, 0.2184285338624336, -0.39710222375357435, -0.23020664764945173, 0.1209951416544971, 0.11365088798283111, 0.15599013246329768, 0.01787683716697973, -0.3200704531433682, 0.16217856896331623, -0.18991719208480345, -0.10976883906516291, -0.10543206240981817, -0.03980365262499878, -0.008283693565144426, -0.2899535140202802, 0.013876589081649269, 0.05543886750404324, 0.05000772356011328, -0.06716688939680655, -0.08532499974327427, 0.04313071160798981, 0.12268776978765215, -0.023036468064501173, -0.04099700721867737, 0.08884650385672492, -0.07415163293037386, -0.19400748703628778, 0.3605121201613829, 0.01636962370858306, -0.2561312910346758, 0.11223078649934559, -0.12830239263851018, -0.1321809450358463, 0.0853712747006544, 0.14980482549539634, 0.13021917038020633, -0.049745344558253975, 0.13847697861049146, -0.10548625892261043, 0.14601631285179228, 0.036629323271058854, 0.09158743855853875, 0.11712348982802637, 0.022249597257801464, 0.0803504765610255, 0.1400127345224887, 0.05942148306695301, -0.10693043296868425, -0.3563517606151955, -0.1340471613442614, -0.1627709377290947, 0.06792868268010872, -0.15730435527595027, -0.19386945429834582, 0.44632955982039374, 0.17017090858315073, 0.12018286722845264, 0.0966401709288004, 0.184107002026091, 0.14541736762926338, 0.07898832527211025, 0.038979744183875266, 0.1787861229864315, 0.32120201812081395, -0.010741015707719185, -0.24051304471989474, -0.038558066789326925, 0.15416455747825758]
|
707.0171
|
Quantum Capacitance Spectroscopy of Single Nanotube Molecules
|
some errors in equations
|
cond-mat.mtrl-sci
|
some errors in equations
|
[['some', 'errors', 'in', 'equations']]
|
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|
707.0172
|
Non-Markovian quantum dynamics and the method of correlated projection
superoperators
|
Efficient methods for the description of the non-Markovian dynamics of open
systems play an important role in many proposed applications of quantum
mechanics. Here we review some of the most important tools that are based on
the projection operator techniques of nonequilibrium statistical mechanics. The
standard product-state projection is generalized to a new class of correlated
projection superoperators that allow the treatment of strong memory effects,
and lead to a non-Markovian generalization of the Lindblad equation.
|
quant-ph
|
efficient methods for the description of the nonmarkovian dynamics of open systems play an important role in many proposed applications of quantum mechanics here we review some of the most important tools that are based on the projection operator techniques of nonequilibrium statistical mechanics the standard productstate projection is generalized to a new class of correlated projection superoperators that allow the treatment of strong memory effects and lead to a nonmarkovian generalization of the lindblad equation
|
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|
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|
707.0173
|
Ore extensions satisfying a polynomial identity
|
Necessary and sufficient conditions for an Ore extension $S=R[x;\si,\de]$ to
be a {\rm PI} ring are given in the case $\si$ is an injective endomorphism of
a semiprime ring $R$ satisfying the {\rm ACC} on annihilators. Also, for an
arbitrary endomorphism $\tau$ of $R$, a characterization of Ore extensions
$R[x;\tau]$ which are {\rm PI} rings is given, provided the coefficient ring
$R$ is noetherian.
|
math.RA
|
necessary and sufficient conditions for an ore extension srxside to be a rm pi ring are given in the case si is an injective endomorphism of a semiprime ring r satisfying the rm acc on annihilators also for an arbitrary endomorphism tau of r a characterization of ore extensions rxtau which are rm pi rings is given provided the coefficient ring r is noetherian
|
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|
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|
707.0174
|
Reply to comment on `Measurement of Effective Temperatures in an Aging
Colloidal Glass'
|
Reply to comment by Jop et al. (arXiv:0705.1421v1).
|
cond-mat.soft
|
reply to comment by jop et al arxiv07051421v1
|
[['reply', 'to', 'comment', 'by', 'jop', 'et', 'al', 'arxiv07051421v1']]
|
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|
707.0175
|
Determination of Delta G/G from Open Charm events at COMPASS
|
One of the main goals of the COMPASS experiment at CERN is the determination
of the gluon polarisation in the nucleon, Delta G/G. It is determined from spin
asymmetries in the scattering of 160 GeV/c polarised muons on a polarised LiD
target. The gluon polarisation is accessed by the selection of photon-gluon
fusion (PGF) events. A very clean selection of PGF events can be obtained with
charmed mesons in the final state. Their detection is based on the
reconstruction of D* and D0 mesons in the COMPASS spectrometer. The analysis
method for the first measurement of Delta G/G from the open charm channel is
described and the result from COMPASS for the 2002-2004 data taking period is
presented.
|
hep-ex
|
one of the main goals of the compass experiment at cern is the determination of the gluon polarisation in the nucleon delta gg it is determined from spin asymmetries in the scattering of 160 gevc polarised muons on a polarised lid target the gluon polarisation is accessed by the selection of photongluon fusion pgf events a very clean selection of pgf events can be obtained with charmed mesons in the final state their detection is based on the reconstruction of d and d0 mesons in the compass spectrometer the analysis method for the first measurement of delta gg from the open charm channel is described and the result from compass for the 20022004 data taking period is presented
|
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|
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|
707.0176
|
Forward-Backward (F-B) rapidity correlations in a two step scenario
|
We present a prediction for Forward-Backward rapidity correlations at the LHC
from a two step scenario model for particle production
|
hep-ph
|
we present a prediction for forwardbackward rapidity correlations at the lhc from a two step scenario model for particle production
|
[['we', 'present', 'a', 'prediction', 'for', 'forwardbackward', 'rapidity', 'correlations', 'at', 'the', 'lhc', 'from', 'a', 'two', 'step', 'scenario', 'model', 'for', 'particle', 'production']]
|
[-0.03912380103720352, 0.1709763249848038, -0.17543180583743379, 0.17125001028180123, 0.051077800104394555, -0.19480046252720057, 0.006751181778963655, 0.3503192882984877, -0.2512081775814295, -0.2587219139561057, -0.03680536358151585, -0.36838968340307476, 0.07142873794073239, 0.14091882288339547, 0.11741177774965764, 0.14168426794931294, 0.1687910260632634, -0.038662502891384065, -0.002576201967895031, -0.15685537615790962, 0.30348663865588604, 0.04033105024136603, 0.18683081944473087, 0.1580203796736896, 0.15825134376063943, 0.0647592135006562, -0.014146009585238062, -0.010048846900463104, -0.08781951619312167, 0.038872547633945945, 0.26949708834290503, 0.051131151337176564, 0.20923521406948567, -0.32123048007488253, -0.11055013495497405, 0.14680454460904002, 0.17258816794492304, 0.17761274289805443, -0.19289923082105814, -0.2325504507869482, 0.06763595114462077, -0.26339959611650554, -0.07471249848604203, 0.03976611141115427, -0.022568005556240677, -0.11628230847418308, -0.4223346088081598, 0.15206889882683755, -0.05477326847612858, 0.038841292925644665, 0.03302460188278929, -0.14306275290437043, -0.020408347086049616, -0.01067902152426541, 0.07908809361397288, 0.03985736931208521, 0.1481260586762801, -0.18283963774156292, -0.2539044886827469, 0.31648124204948547, -0.07823482437524945, -0.22179916470777244, 0.1440150197595358, -0.18175535909831525, -0.23227158098015935, 0.061033869755920026, 0.314788569137454, 0.12235993877984583, -0.23177624044474215, 0.015630911313928665, 0.018058355245739222, 0.13425921451998873, 0.0005440352484583855, 0.03454520860686898, 0.2455905324779451, 0.3226265679113567, 0.04713334464468062, 0.0894810602068901, -0.2097592480480671, -0.1681427050381899, -0.5173808887600899, -0.15877194926142693, -0.03850480858236551, -0.05709055159240961, -0.06323212725110353, -0.01933870352804661, 0.4582404361106455, 0.16398900751955808, 0.35449129026383164, 0.12504061055369675, 0.31321906549856066, 0.08070574468001723, 0.016140556428581476, 0.05576424961909652, 0.289341162936762, 0.055131887132301924, 0.25494270557537674, -0.19981457128887997, 0.1203165699262172, 0.14634516155347227]
|
707.0177
|
Resolving the innermost parsec of Centaurus A at mid-infrared
wavelengths
|
We report the results of interferometric observations of Centaurus A with the
MID-infrared Interferometer (MIDI) at ESO's VLTI telescope array. The
interferometric measurements are spectrally resolved (R = 30) in the wavelength
range 8 to 13 micron. Their spatial resolution reaches 15 mas at the shortest
wavelengths. Supplementary observations were obtained in the near-infrared with
the adaptive optics instrument NACO, and at mm wavelengths with SEST and JCMT.
We find that he mid-infrared emission from the core of Centaurus A is dominated
by an unresolved point source (<10 mas). Observations with baselines orientated
perpendicular to the radio jet reveal an extended component which can be
interpreted as a geometrically thin, dusty disk, the axis of which is aligned
with the radio jet. Its diameter is about 0.6 pc. We argue, that the unresolved
emission is dominated by a synchrotron source. Its overall spectrum is
characterized by a \nu^{-0.36} power-law which cuts off exponentially towards
high frequencies at 8x10^{13} Hz and becomes optically thick at \nu < 45 GHz.
Based on a Synchrotron Self Compton (SSC) interpretation for the gamma-ray
emission, we find a magnetic field strength of 26 microTesla and a maximum
energy of relativistic electrons of \gamma_c = E_c/m_e c^2 = 8500. Near
\gamma_c, the acceleration time scale is 4 days, in good agreement with the
fastest X-ray variations. Our SSC model argues for an upper limit for the bulk
Lorentz factor < 2.5, at variance with the concept of a "mis-directed BL Lac
object". We estimate a thermal core luminosity of 1.3x10^{34} W, intermediate
between the values for highly efficiently accreting AGN (e.g. Seyfert galaxies)
and those of typical FR I radio galaxies.
|
astro-ph
|
we report the results of interferometric observations of centaurus a with the midinfrared interferometer midi at esos vlti telescope array the interferometric measurements are spectrally resolved r 30 in the wavelength range 8 to 13 micron their spatial resolution reaches 15 mas at the shortest wavelengths supplementary observations were obtained in the nearinfrared with the adaptive optics instrument naco and at mm wavelengths with sest and jcmt we find that he midinfrared emission from the core of centaurus a is dominated by an unresolved point source 10 mas observations with baselines orientated perpendicular to the radio jet reveal an extended component which can be interpreted as a geometrically thin dusty disk the axis of which is aligned with the radio jet its diameter is about 06 pc we argue that the unresolved emission is dominated by a synchrotron source its overall spectrum is characterized by a nu036 powerlaw which cuts off exponentially towards high frequencies at 8x1013 hz and becomes optically thick at nu 45 ghz based on a synchrotron self compton ssc interpretation for the gammaray emission we find a magnetic field strength of 26 microtesla and a maximum energy of relativistic electrons of gamma_c e_cm_e c2 8500 near gamma_c the acceleration time scale is 4 days in good agreement with the fastest xray variations our ssc model argues for an upper limit for the bulk lorentz factor 25 at variance with the concept of a misdirected bl lac object we estimate a thermal core luminosity of 13x1034 w intermediate between the values for highly efficiently accreting agn eg seyfert galaxies and those of typical fr i radio galaxies
|
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|
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|
707.0178
|
Multiplicity distributions in rapidity for Pb-Pb and p-Pb central
collisions from a simple model
|
We present predictions, from a simple model, for multiplicity distributions
in rapidity for Pb-Pb and p-Pb central collisions at the LHC.
|
hep-ph
|
we present predictions from a simple model for multiplicity distributions in rapidity for pbpb and ppb central collisions at the lhc
|
[['we', 'present', 'predictions', 'from', 'a', 'simple', 'model', 'for', 'multiplicity', 'distributions', 'in', 'rapidity', 'for', 'pbpb', 'and', 'ppb', 'central', 'collisions', 'at', 'the', 'lhc']]
|
[0.035061487928032875, 0.18609289013381516, -0.2753636878915131, 0.19486599699372337, 0.1254476427677132, -0.1095150717800217, -0.1659090167377144, 0.3642688145240148, -0.1450900404403607, -0.2505706590378568, -0.13264888303820044, -0.4033454136834258, 0.1993619198467405, 0.1571938257021386, 0.039133784715973195, 0.15726651606105624, 0.21519361879853977, 0.00630609609097952, -0.027875786514154503, -0.138844531295555, 0.2752728839626625, 0.1442202292826204, 0.14565452157209316, 0.2051340580163967, 0.04171661314155374, 0.15370149540138386, 0.00526838397075023, 0.03656107391275111, -0.1659821243956685, 0.0807299546002122, 0.3841605836836, 0.007261001283214206, 0.13458518282554688, -0.32018450647592545, -0.04588801551255442, 0.17201736862105982, 0.15094474397067512, 0.1308467623422898, -0.18302203098400718, -0.23354964809758322, 0.20261995432277521, -0.3455539547971317, -0.1465657056264934, -0.004793870972380752, 0.05611538456841594, 0.02419826335140637, -0.3438880184576625, 0.23292789836635902, -0.053531677329114506, 0.17984443499396244, -0.0010970461936224076, -0.23888352136349394, -0.09790915510218058, -0.04000148170494607, 0.04591703210358641, 0.05517205952977141, 0.14474429068199934, -0.19804636423110164, -0.2254821157881192, 0.3464837400686173, 0.07423994867574601, -0.11377007186058022, 0.23963173975547156, -0.28197276272944044, -0.22863514670392587, 0.09211570583283901, 0.39756778849377516, 0.07200834589699905, -0.22695376409129017, 0.011349948186848667, -0.024409327744728045, 0.153555052621024, 0.0932422670580092, 0.05077983190615972, 0.19345235984240258, 0.2364548999993574, -0.04757758695632219, 0.08184659534267016, -0.14482407094467253, -0.11538607041750636, -0.5505032078141258, -0.050801231215397515, -0.06613063191374143, -0.003446130348103387, -0.14274468106547525, 0.05088718749937557, 0.38328958746223224, 0.1658043288958392, 0.4527306285287653, 0.07607498006629092, 0.30883983008208726, 0.07417565038693803, 0.02609903019453798, 0.1577742632833265, 0.2531684884091928, 0.13027367257468758, 0.31009638407045886, -0.16484601728041612, 0.06102239890467553, 0.12075590293499686]
|
707.0179
|
Optimal laser-control of double quantum dots
|
Coherent single-electron control in a realistic semiconductor double quantum
dot is studied theoretically. Using optimal-control theory we show that the
energy spectrum of a two-dimensional double quantum dot has a fully
controllable transition line. We find that optimized picosecond laser pulses
generate population transfer at significantly higher fidelities (>0.99) than
conventional sinusoidal pulses. Finally we design a robust and fast charge
switch driven by optimal pulses that are within reach of terahertz laser
technology.
|
cond-mat.other
|
coherent singleelectron control in a realistic semiconductor double quantum dot is studied theoretically using optimalcontrol theory we show that the energy spectrum of a twodimensional double quantum dot has a fully controllable transition line we find that optimized picosecond laser pulses generate population transfer at significantly higher fidelities 099 than conventional sinusoidal pulses finally we design a robust and fast charge switch driven by optimal pulses that are within reach of terahertz laser technology
|
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|
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|
707.018
|
Manipulating the magnetic structure by electric fields in multiferroic
ErMn2O5
|
Based on measurements of soft x-ray magnetic diffraction under in-situ
applied electric field, wereport on significantly manipulation and exciting of
commensurate magnetic order in multiferroic ErMn2O5. The induced magnetic
scattering intensity arises at the commensurate magnetic Bragg position whereas
the initial magnetic signal almost persists. We demonstrate the possibility to
imprint a magnetic response function in ErMn2O5 by applying electric field.
|
cond-mat.str-el
|
based on measurements of soft xray magnetic diffraction under insitu applied electric field wereport on significantly manipulation and exciting of commensurate magnetic order in multiferroic ermn2o5 the induced magnetic scattering intensity arises at the commensurate magnetic bragg position whereas the initial magnetic signal almost persists we demonstrate the possibility to imprint a magnetic response function in ermn2o5 by applying electric field
|
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|
[-0.21257275805391115, 0.2745128564440228, -0.02012617578569414, 0.009139209343441602, -0.09334435105195334, -0.02837173986762505, 0.04854478637270372, 0.46673088758413134, -0.2867709668995491, -0.3660758235973531, 0.004080910448402423, -0.247056908391673, -0.11380943627064598, 0.2265118699328139, 0.09462922652541049, 0.02911440372980874, -0.06824049523806777, 0.03606675918503054, -0.07676948934536555, -0.1493196624114403, 0.28935368249899357, 0.01906731931075197, 0.35405767901704227, 0.07991918797327752, 0.08597880888906918, 0.11617543779570481, 0.08762706623509012, 0.07311463760661668, -0.052976508271591415, 0.004059807590112604, 0.15080892625425396, -0.08165609195892667, 0.16255935291149493, -0.5124854320772635, -0.17254917052221194, 0.013241320816350394, 0.12858498953925124, 0.09686230872918306, -0.12233237444085936, -0.2924212037489332, 0.038862424436956644, -0.04548519836128529, -0.1603260182550755, -0.12577251413162668, -0.04601985848396374, 0.03848686823942538, -0.32486655733323305, 0.08919971842511461, 0.05176712831899781, 0.15670763478004213, -0.21021372123203916, -0.04972281930004728, -0.012767067299513468, -0.01196790057844643, 0.0847988511989664, 0.1547497521026124, 0.25344924809379055, -0.14818378370897523, -0.12198188129394989, 0.3015353365094754, -0.07035391724162639, -0.018750318631144434, 0.08766374016453608, -0.29622158284523875, -0.08536512062660065, 0.22265382402512277, 0.15119240028334074, 0.09815168059591589, -0.07840481986580737, 0.08113736696119805, 0.0625764577777992, 0.20317903909318405, 0.14265051085887284, 0.05767059971674763, 0.31684409651969525, 0.17487696497420105, 0.06353566545093882, 0.191245143976191, -0.210537715943466, 0.02859841760023144, -0.19603106997714476, -0.046764215775604905, -0.1822207749997876, 0.08942049761013739, -0.061792485728801694, -0.1977252368012379, 0.39473282283268357, 0.21801348195957213, 0.11510577935982368, -0.1523440673642246, 0.3526288215713254, 0.12102962854310292, 0.07106630806008289, 0.011915132636204362, 0.3067219098227034, 0.2505087946453292, 0.18907866275323362, -0.30519927999582785, 0.08532005851959874, -0.05656991166801288]
|
707.0181
|
Location and Spectral Estimation of Weak Wave Packets on Noise
Background
|
The method of location and spectral estimation of weak signals on a noise
background is being considered. The method is based on the optimized on order
and noise dispersion autoregressive model of a sought signal. A new approach of
model order determination is being offered. Available estimation of the noise
dispersion is close to the real one. The optimized model allows to define
function of empirical data spectral and dynamic features changes. The analysis
of the signal as dynamic invariant in respect of the linear shift
transformation yields the function of model consistency. Use of these both
functions enables to detect short-time and nonstationary wave packets at signal
to noise ratio as from -20 dB and above.
|
cs.CE
|
the method of location and spectral estimation of weak signals on a noise background is being considered the method is based on the optimized on order and noise dispersion autoregressive model of a sought signal a new approach of model order determination is being offered available estimation of the noise dispersion is close to the real one the optimized model allows to define function of empirical data spectral and dynamic features changes the analysis of the signal as dynamic invariant in respect of the linear shift transformation yields the function of model consistency use of these both functions enables to detect shorttime and nonstationary wave packets at signal to noise ratio as from 20 db and above
|
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|
[-0.09784097748069276, 0.02786774365788596, -0.10517756065799512, 0.0721226270384211, -0.06190423101075312, -0.12701093720304024, 0.046297763102154575, 0.37582673801061434, -0.27148756809914726, -0.32648845694204953, 0.12111682104420426, -0.2859307686445297, -0.15229090972819453, 0.1814812498135317, -0.033980431687882826, 0.11368485999842867, 0.00520360274399575, 0.06700587743678345, -0.0873254450579357, -0.16129146970044345, 0.29738481094240826, 0.09506877210850899, 0.31177165536767143, -0.009939129854369367, 0.13386423273398104, 0.02124078980145546, -0.0826440684021745, -0.025857522407084957, -0.06464884861603253, 0.10885398842462261, 0.18836448539016593, 0.12982918780583602, 0.23823295313164464, -0.33433455851279265, -0.22136400713641038, 0.09316838312193625, 0.09748278305921544, 0.0930100758997803, 0.00972314705996591, -0.30372019172606307, 0.08210196215102178, -0.13409577486797786, -0.09569006971218902, -0.07747897829534088, -0.027298119926076923, 0.03934635647023336, -0.336256381108338, 0.11597940391615509, 0.0491884323871798, 0.026927368874605905, -0.06712816851502125, -0.09612284482528384, 0.0029703541002116906, 0.132446054297571, 0.040917675970042616, 0.0369751390754285, 0.13315269065638766, -0.10768197144930944, -0.07081479320808066, 0.3816487125367818, -0.1330582071434006, -0.21304520702737773, 0.17859657729068437, -0.12662537707190993, -0.06922910186167583, 0.1724295128041353, 0.2298883550768543, 0.07061969636915585, -0.15234454398035494, 0.03843584832383129, 0.03382710319693483, 0.21253219914909166, 0.040389408417141594, 0.04842810180738696, 0.1589006983842223, 0.1822798788213195, 0.08061447628160827, 0.15072002725548342, -0.16214467843986538, -0.04744100203721696, -0.28969399996537665, -0.09531189870232573, -0.20187911841297984, -0.020640105907193337, -0.11428835317350697, -0.17901373189738673, 0.44447721789280575, 0.193267885213479, 0.1951716187545377, 0.06623889889934251, 0.340307601980276, 0.18121158213625288, 0.04585762010612644, 0.01697149805119659, 0.21217420399109396, 0.15923023717000317, 0.08679981620058927, -0.20445583660641095, 0.08451713405501766, 0.0003547742883236999]
|
707.0182
|
Predictions for Quarkonia Dissociation
|
We predict the upper bound on the dissociation temperatures of different
quarkonium states.
|
hep-ph
|
we predict the upper bound on the dissociation temperatures of different quarkonium states
|
[['we', 'predict', 'the', 'upper', 'bound', 'on', 'the', 'dissociation', 'temperatures', 'of', 'different', 'quarkonium', 'states']]
|
[-0.08171779433122048, 0.31678891819543564, -0.17334049506686056, 0.19043442263053015, 0.1163738749634761, -0.11181569529267457, 0.1970935228925485, 0.3058263465332297, -0.11987471953034401, -0.2858840714280422, -0.04318326715236673, -0.2990182609512256, 0.06294798564452392, 0.12851365598348471, 0.11054009098846179, 0.07602183921979024, 0.05743631835167225, 0.12751830384905377, -0.05475250051285212, -0.25377616902383476, 0.35452588361043197, -0.005104736066781557, 0.31995843608792013, 0.3629460632801056, -0.024011384803228654, -0.06928782845632388, 0.12967065148628676, -0.17469201351587588, -0.2889529357735927, 0.12860227492190182, 0.21817080332682684, 0.05419226947168891, 0.09875163052660915, -0.4532469923679645, -0.16717150062322617, 0.04468494761162079, 0.09756235892956074, 0.2009407989680767, 0.017763372752457283, -0.27929712660037553, 0.023010838490266066, -0.13978135413848436, -0.06835560758526509, -0.06935500582823387, 0.006063245021953032, -0.05082982620940758, -0.24525594467727038, 0.06579248463878265, -0.027170795660752516, 0.02614442171090139, -0.2131941358630474, -0.2915435975077204, -0.08597641724806565, 0.08592234265345794, -0.023994974935284026, 0.010662190831051422, 0.21312811945636684, -0.16571859958080146, -0.11915610573039605, 0.28527157481473225, -0.1711153663121737, -0.06483914961035435, 0.28919078610264337, -0.17220485812196365, -0.1475744882168678, 0.14530628446776134, 0.2937596653086635, 0.1839962133851189, -0.06504783206261121, 0.013008727262226434, -0.0701348942059737, 0.11069486748713714, 0.15202303968656522, 0.1787399030648745, 0.17546832647461158, 0.16504619356531364, 0.019359816009035476, 0.17204356738007986, -0.14014479351373246, -0.10519818130594033, -0.2999244435475423, -0.14479647930084655, -0.16775570981777632, 0.06948952484302796, -0.06166070871628248, -0.14109673974319145, 0.3975238587993842, 0.12482584669039799, 0.26447195960925174, 0.0630747014656663, 0.2719707162334369, 0.22443914263007733, -0.017121857820222013, 0.12283591267008048, 0.28186197922779965, 0.18247778584750798, -0.024046779789317112, -0.32793290884448933, 0.10637256177142262, 0.0847097598016262]
|
707.0183
|
Bernstein Type Results for Lagrangian Graphs with Partially Harmonic
Gauss Map
|
We establish Bernstein Theorems for Lagrangian graphs which are Hamiltonian
minimal or have conformal Maslov form. Some known results of minimal
(Lagrangian) submanifolds are generalized.
|
math.DG
|
we establish bernstein theorems for lagrangian graphs which are hamiltonian minimal or have conformal maslov form some known results of minimal lagrangian submanifolds are generalized
|
[['we', 'establish', 'bernstein', 'theorems', 'for', 'lagrangian', 'graphs', 'which', 'are', 'hamiltonian', 'minimal', 'or', 'have', 'conformal', 'maslov', 'form', 'some', 'known', 'results', 'of', 'minimal', 'lagrangian', 'submanifolds', 'are', 'generalized']]
|
[-0.22724423470441252, 0.11903358159586787, -0.048120430409908294, 0.18268713541328907, -0.15615057036280633, -0.22175769485533237, -0.12581550337374212, 0.310292862392962, -0.18682460188865663, -0.25520999133586886, 0.094467798974365, -0.2834064707532525, -0.21890034635551273, 0.16058839126490057, -0.17121736221015454, 0.14213669292628764, 0.07181142470799387, 0.09665898695588111, -0.12468478567898274, -0.2225939879566431, 0.35767998203635215, -0.09953702586237341, 0.10064022649079561, 0.10821264049038291, 0.08675492852926255, -0.04516577310860157, 0.001785183511674404, -0.027302397571038455, -0.2706495936214924, 0.14719038248062133, 0.27364059701561927, 0.08758547455072403, 0.15287862692028284, -0.4472080143541098, -0.21352330297231675, 0.21647981446702033, 0.09056714758276939, 0.05872095005121082, 0.018505317447707056, -0.2524879486858845, 0.10615892179310321, -0.08359386075288057, -0.25262493193149566, -0.19800996590405703, -0.10805011024698614, 0.05322357028722763, -0.20063350796699525, 0.027308342326432467, 0.17073978930711747, 0.13957328449934722, -0.006874717101454735, -0.11566379591822624, -0.08480021443217993, -0.007223028102889657, 0.047430058494210246, 0.008200456574559211, 0.10323022093623876, -0.016934566274285315, -0.15601395290344955, 0.3490102832019329, -0.04174594474025071, -0.3686093832552433, 0.09001181393861771, -0.03903037890791893, -0.25439006071537734, 0.09241913981735707, 0.09095438044518232, 0.16875382781028747, -0.19921554259955884, 0.2297355594113469, -0.14484431058168412, -0.10508849307894706, 0.19185502775013447, 0.06884324841201306, 0.06874359890818596, -0.02815680403262377, 0.13529732589609922, 0.13555916757322847, 0.04555011678487062, -0.17536559723317624, -0.41353268712759017, -0.18244570128619672, -0.13846015326678754, 0.11704140082001686, -0.21546422192826867, -0.21345309179276228, 0.38787223647348584, 0.00428007471084129, 0.10758486337959766, 0.23727873780298978, 0.16345836982131004, 0.12458053797483444, 0.06436606526374816, 0.13063051100820303, 0.2548605610674713, 0.27116964586079123, -0.07205309881363064, -0.04150815092027187, -0.09454425910487771, 0.3279636858403683]
|
707.0184
|
Squeezed-field injection for gravitational wave interferometers
|
In a recent table-top experiment we demonstrated the compatibility of three
advanced interferometer techniques for gravitational wave detection, namely
power-recycling, detuned signal-recycling and squeezed field injection. The
interferometer's signal to noise ratio was improved by up to 2.8 dB beyond the
coherent state's shot-noise. This value was mainly limited by optical losses on
the squeezed field. We present a detailed analysis of the optical losses of in
our experiment and provide an estimation of the possible nonclassical
performance of a future squeezed field enhanced GEO600 detector.
|
quant-ph
|
in a recent tabletop experiment we demonstrated the compatibility of three advanced interferometer techniques for gravitational wave detection namely powerrecycling detuned signalrecycling and squeezed field injection the interferometers signal to noise ratio was improved by up to 28 db beyond the coherent states shotnoise this value was mainly limited by optical losses on the squeezed field we present a detailed analysis of the optical losses of in our experiment and provide an estimation of the possible nonclassical performance of a future squeezed field enhanced geo600 detector
|
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|
[-0.1647695446181176, 0.14656892264154225, -0.07020609402422641, 0.04540574202736363, -0.017765584791642287, -0.12859201574763066, 0.05558128555597694, 0.4006194255726282, -0.18491989884763782, -0.30656199872515405, 0.08669211568993104, -0.2639694739306389, -0.10764738319571628, 0.28201029236634195, -0.04803574118806526, 0.12221682130164185, 0.10625487349407617, -0.03512129044873629, -0.030451123451754495, -0.19031914931093885, 0.26899639602891323, 0.1507590531024995, 0.3448336769523489, 0.0093870609998703, 0.12685889513015228, 0.010691170559026474, -0.029119487646100825, -0.03278330322571619, -0.07300844093274357, 0.08933762926269907, 0.2321672558589557, 0.12075383407009635, 0.24671546995726434, -0.4008181602369214, -0.21893034762767857, 0.08292521526603851, 0.09034495837045671, 0.16599918743812067, -0.04759349369276098, -0.38111421311014265, -0.009704344974273036, -0.1798092367609443, -0.12041220906038963, -0.039587331586517394, -0.012174475557701446, 0.003949881119783534, -0.2382559265053376, 0.048861434864595016, 0.02340788529579376, 0.03522259259033342, 0.0212021766197976, -0.11000135625431011, 0.06744249398430247, 0.03308474414895267, -0.07415559945890658, 0.036569057923178515, 0.17878066216660446, -0.21063014591751664, -0.15069770433961652, 0.2916300949345473, -0.1630917462347032, -0.10119642777000229, 0.12979139902000858, -0.16159360890471658, -0.03120520780252856, 0.15613100716714248, 0.17447974527901752, 0.06795154474296629, -0.12068696451091836, 0.005089509294119252, 0.05090530825319272, 0.2148198129306006, 0.14689652477174478, 0.101402297031221, 0.21590759869675738, 0.20499730095007393, 0.05229998226169237, 0.1893094860580425, -0.17819969860436177, 0.0061720221426587035, -0.2923391774340078, -0.10029771377137581, -0.17878807913701505, 0.08608669816529199, -0.03969952575070513, -0.0926596655477878, 0.40718105986584413, 0.18977519414972427, 0.08504706179604021, -0.0383770935248237, 0.4102203010819679, 0.1293877671380679, 0.040343069595956176, -0.034681086969930074, 0.4244279743153277, 0.1729077550008633, 0.10930912942235727, -0.23871896161324194, -0.05672621985133954, -0.08756804028471801]
|
707.0185
|
Infimum of the exponential volume growth and the bottom of the essential
spectrum of the Laplacian
|
The purpose of this paper is to point out that `supremum' in two inequalities
of Brooks should be replaced with `infimum'.
The results of this paper are already known by Professor Higuci. Hence, I
want to delete this paper from this preprint server.
|
math.DG math.SP
|
the purpose of this paper is to point out that supremum in two inequalities of brooks should be replaced with infimum the results of this paper are already known by professor higuci hence i want to delete this paper from this preprint server
|
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|
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|
707.0186
|
Energy-Momentum tensor on foliations
|
In this paper, we give a new lower bound for the eigenvalues of the Dirac
operator on a compact spin manifold. This estimate is motivated by the fact
that in its limiting case a skew-symmetric tensor (see Equation \eqref{eq:16})
appears that can be identified geometrically with the O'Neill tensor of a
Riemannian flow, carrying a transversal parallel spinor. The Heisenberg group
which is a fibration over the torus is an example of this case. Sasakian
manifolds are also considered as particular examples of Riemannian flows.
Finally, we characterize the 3-dimensional case by a solution of the Dirac
equation
|
math.DG
|
in this paper we give a new lower bound for the eigenvalues of the dirac operator on a compact spin manifold this estimate is motivated by the fact that in its limiting case a skewsymmetric tensor see equation eqrefeq16 appears that can be identified geometrically with the oneill tensor of a riemannian flow carrying a transversal parallel spinor the heisenberg group which is a fibration over the torus is an example of this case sasakian manifolds are also considered as particular examples of riemannian flows finally we characterize the 3dimensional case by a solution of the dirac equation
|
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|
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|
707.0187
|
Constraints on Unparticle Interactions from Invisible Decays of Z,
Quarkonia and Neutrinos
|
Unparticles ($\U$) interact weakly with particles. The direct signature of
unparticles will be in the form of missing energy. We study constraints on
unparticle interactions using totally invisible decay modes of $Z$, vector
quarkonia $V$ and neutrinos. The constraints on the unparticle interaction
scale $\Lambda_\U$ are very sensitive to the dimension $d_\U$ of the
unparticles. From invisible $Z$ and $V$ decays, we find that with $d_\U$ close
to 1 for vector $\U$, the unparticle scale $\Lambda_\U$ can be more than $10^4$
TeV, and for $d_\U$ around 2, the scale can be lower than one TeV. From
invisible neutrino decays, we find that if $d_\U$ is close to 3/2, the scale
can be more than the Planck mass, but with $d_\U$ around 2 the scale can be as
low as a few hundred GeV. We also study the possibility of using $V (Z)\to
\gamma + \U$ to constrain unparticle interactions, and find that present data
give weak constraints.
|
hep-ph hep-ex
|
unparticles u interact weakly with particles the direct signature of unparticles will be in the form of missing energy we study constraints on unparticle interactions using totally invisible decay modes of z vector quarkonia v and neutrinos the constraints on the unparticle interaction scale lambda_u are very sensitive to the dimension d_u of the unparticles from invisible z and v decays we find that with d_u close to 1 for vector u the unparticle scale lambda_u can be more than 104 tev and for d_u around 2 the scale can be lower than one tev from invisible neutrino decays we find that if d_u is close to 32 the scale can be more than the planck mass but with d_u around 2 the scale can be as low as a few hundred gev we also study the possibility of using v zto gamma u to constrain unparticle interactions and find that present data give weak constraints
|
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|
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|
707.0188
|
Is there a need and another way to measure the Cosmic Microwave
Background temperature more accurately?
|
The recombination history of the Universe depends exponentially on the
temperature, T_0, of the cosmic microwave background. Therefore tiny changes of
T_0 are expected to lead to significant changes in the free electron fraction.
Here we show that even the current 1sigma-uncertainty in the value of T_0
results in more than half a percent ambiguity in the ionization history, and
more than 0.1% uncertainty in the TT and EE power spectra at small angular
scales. We discuss how the value of T_0 affects the highly redshifted
cosmological hydrogen recombination spectrum and demonstrate that T_0 could, in
principle, be measured by looking at the low frequency distortions of the
cosmic microwave background spectrum. For this no absolute measurements are
necessary, but sensitivities on the level of ~30nK are required to extract the
quasi-periodic frequency-dependent signal with typical Delta nu/nu~0.1 coming
from cosmological recombination. We also briefly mention the possibility of
obtaining additional information on the specific entropy of the Universe, and
other cosmological parameters.
|
astro-ph
|
the recombination history of the universe depends exponentially on the temperature t_0 of the cosmic microwave background therefore tiny changes of t_0 are expected to lead to significant changes in the free electron fraction here we show that even the current 1sigmauncertainty in the value of t_0 results in more than half a percent ambiguity in the ionization history and more than 01 uncertainty in the tt and ee power spectra at small angular scales we discuss how the value of t_0 affects the highly redshifted cosmological hydrogen recombination spectrum and demonstrate that t_0 could in principle be measured by looking at the low frequency distortions of the cosmic microwave background spectrum for this no absolute measurements are necessary but sensitivities on the level of 30nk are required to extract the quasiperiodic frequencydependent signal with typical delta nunu01 coming from cosmological recombination we also briefly mention the possibility of obtaining additional information on the specific entropy of the universe and other cosmological parameters
|
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|
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|
707.0189
|
Statistical Mechanics of the Hyper Vertex Cover Problem
|
We introduce and study a new optimization problem called Hyper Vertex Cover.
This problem is a generalization of the standard vertex cover to hypergraphs:
one seeks a configuration of particles with minimal density such that every
hyperedge of the hypergraph contains at least one particle. It can also be used
in important practical tasks, such as the Group Testing procedures where one
wants to detect defective items in a large group by pool testing. Using a
Statistical Mechanics approach based on the cavity method, we study the phase
diagram of the HVC problem, in the case of random regualr hypergraphs.
Depending on the values of the variables and tests degrees different situations
can occur: The HVC problem can be either in a replica symmetric phase, or in a
one-step replica symmetry breaking one. In these two cases, we give explicit
results on the minimal density of particles, and the structure of the phase
space. These problems are thus in some sense simpler than the original vertex
cover problem, where the need for a full replica symmetry breaking has
prevented the derivation of exact results so far. Finally, we show that
decimation procedures based on the belief propagation and the survey
propagation algorithms provide very efficient strategies to solve large
individual instances of the hyper vertex cover problem.
|
cond-mat.stat-mech cond-mat.dis-nn
|
we introduce and study a new optimization problem called hyper vertex cover this problem is a generalization of the standard vertex cover to hypergraphs one seeks a configuration of particles with minimal density such that every hyperedge of the hypergraph contains at least one particle it can also be used in important practical tasks such as the group testing procedures where one wants to detect defective items in a large group by pool testing using a statistical mechanics approach based on the cavity method we study the phase diagram of the hvc problem in the case of random regualr hypergraphs depending on the values of the variables and tests degrees different situations can occur the hvc problem can be either in a replica symmetric phase or in a onestep replica symmetry breaking one in these two cases we give explicit results on the minimal density of particles and the structure of the phase space these problems are thus in some sense simpler than the original vertex cover problem where the need for a full replica symmetry breaking has prevented the derivation of exact results so far finally we show that decimation procedures based on the belief propagation and the survey propagation algorithms provide very efficient strategies to solve large individual instances of the hyper vertex cover problem
|
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|
[-0.09533767835980106, 0.09333498582478895, -0.08484128275285324, 0.06501684668323686, -0.10814290640935782, -0.15459053700764058, 0.07389026220076747, 0.3754157550710206, -0.269475252258115, -0.29408639353970367, 0.1252430821173451, -0.26310169263120553, -0.1487185267403224, 0.1282269477448319, -0.05639487722983009, 0.04369053693252459, 0.08042970343268377, 0.053880399246598175, -0.05272085229734234, -0.2572046604467779, 0.3010642924582079, -0.010891081666582465, 0.24838652804682743, 0.03967734382483542, 0.11043184322910168, 0.03880421392413603, 0.004539608907100448, 0.06172866445222475, -0.14023509714893262, 0.0863953678373007, 0.2615633763014532, 0.15636152358648414, 0.2842914295492239, -0.4157398856830545, -0.19897596277768642, 0.1582577564208532, 0.13422704198341903, 0.13939188508647343, -0.026922390843454044, -0.24702837629230856, 0.07854202959562055, -0.14616621489001413, -0.12280479149811382, -0.023102497244210835, -0.033231928279357295, -0.008445773260831008, -0.27424930433838196, 0.020068180499344095, 0.03359314322381491, 0.0277032101538793, 0.01593479766265794, -0.12547900421707997, 0.017046258894271703, 0.09784127279691192, 0.01966876560105397, 0.005765223756007644, 0.10464018875864992, -0.13310396339739503, -0.1433853659878618, 0.4249365242050042, 0.0010464221138098333, -0.21211908833437046, 0.16075234778476494, -0.08894659533172906, -0.1883442936473728, 0.13089343951103033, 0.1681674716689448, 0.15492392989296105, -0.1198581016806495, 0.10062016522799391, -0.08766208984030728, 0.14156115070910275, 0.046397925678571934, 0.017346127031688592, 0.16612362599081879, 0.15513797410015953, 0.12553209316764405, 0.1728829087824711, -0.058379061278685376, -0.09834714458658776, -0.30697089817357776, -0.1275951947586628, -0.19418977027166687, 0.005327359365496768, -0.12793318845931448, -0.1702259391554833, 0.42454564217520957, 0.1589072232991929, 0.18285850921435462, 0.04848780636439606, 0.26549720226825657, 0.08198509997932867, 0.07223118438647227, 0.08386856334150902, 0.19321259163915017, 0.1035625220374054, 0.032253861629022156, -0.18244491104725405, 0.05273038861749496, 0.1061385534918322]
|
707.019
|
Constraints on time variation of fine structure constant from WMAP-3yr
data
|
This paper presents the constraints on the time variation of the fine
structure constant at recombination relative to its present value, Delta_alpha
= (alpha_rec-alpha_0) / alpha_0, obtained from the analysis of the WMAP-3yr
Cosmic Microwave Background (CMB) data, with an additional prior on the Hubble
expansion rate from HST Hubble Key Project. I found out that -0.039 <
Delta_alpha < 0.010 at 95% C.L., which brings a 30% improvement to the previous
limits from WMAP-1yr data. The corresponding recombination redshift, 1012 <
z_rec < 1115, shows a delayed recombination epoch compared with the results
from WMAP-1yr data.
|
astro-ph
|
this paper presents the constraints on the time variation of the fine structure constant at recombination relative to its present value delta_alpha alpha_recalpha_0 alpha_0 obtained from the analysis of the wmap3yr cosmic microwave background cmb data with an additional prior on the hubble expansion rate from hst hubble key project i found out that 0039 delta_alpha 0010 at 95 cl which brings a 30 improvement to the previous limits from wmap1yr data the corresponding recombination redshift 1012 z_rec 1115 shows a delayed recombination epoch compared with the results from wmap1yr data
|
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|
[-0.07381400171581698, 0.06518978875511107, -0.06136650255956184, 0.006981451100477114, -0.06052537777610979, -0.04896595323158578, 0.0775680642818561, 0.33479503760563917, -0.20377018920784207, -0.3461217073102792, 0.08586149761753006, -0.3198181728179427, 0.022859155585127616, 0.21753544685826903, 0.011959027742495996, -0.02700339333253281, 0.07352821412228647, -0.0004154666883592633, -0.05284494249368937, -0.25698864770967556, 0.2753968442222853, 0.1761504639817894, 0.2836663134251561, 0.013086579124518168, 0.1045402600416571, -0.08958898334838879, -0.12661705855226638, -0.06707079808666618, -0.2455337307307683, 0.07967387638375933, 0.18204281574928727, 0.14784307256555076, 0.2021397079271532, -0.32780543377826354, -0.1669493748581615, 0.06511704601218989, 0.1470877847623551, 0.09861807387466703, -0.020471161951300228, -0.30030659832402895, -0.004784023593950631, -0.1153469558339566, -0.059173413225845704, 0.06866102182070842, -0.016478656930313713, -0.05221708189567615, -0.2801158488226316, 0.17815018514834943, -0.054921133702887814, 0.03600863080428934, -0.11025049201421568, -0.16945763766744185, -0.028497630601813054, 0.04228771365536698, 0.055554763124934556, 0.14177302025451227, 0.12342378775985248, -0.08903334988013509, -0.045690237175159416, 0.36976914664452104, -0.17581164093966456, -0.021287315432785142, 0.1068107988605083, -0.20970247420428814, -0.18043497133593278, 0.19395656126883182, 0.12201641620425828, 0.05990244272625309, -0.15674163084329995, 0.12190603097665241, 0.07083750571306238, 0.2511333106942047, 0.07804373938633108, 0.02596658714993418, 0.22083257269328352, 0.13230325872528143, 0.04177680376103555, 0.04152082764522183, -0.1819634144354997, -0.006442528319727072, -0.32208778626879614, -0.03725192074974378, -0.12491708086407476, 0.1224983017262735, -0.20569675157232017, -0.08201892474858925, 0.3324171679693906, 0.17047300118010963, 0.273366064036629, 0.09244604402384989, 0.30716093808102113, 0.05517079236906493, 0.06809853415015614, 0.054121919286747776, 0.3282065128629235, 0.10250229124065446, 0.14335206422911978, -0.24325411341784672, 0.033248402777759506, -0.0136671448822251]
|
707.0191
|
Category of Noncommutative CW Complexes
|
We expose the notion of noncommutative CW (NCCW) complexes, define
noncommutative (NC) mapping cylinder and NC mapping cone, and prove the
noncommutative Approximation Theorem. The long exact homotopy sequences
associated with arbitrary morphisms are also deduced.
|
math.QA math.KT
|
we expose the notion of noncommutative cw nccw complexes define noncommutative nc mapping cylinder and nc mapping cone and prove the noncommutative approximation theorem the long exact homotopy sequences associated with arbitrary morphisms are also deduced
|
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|
[-0.19059107328454652, 0.08899784725832029, -0.08444037795480755, 0.20952145838075215, -0.04709960282262829, -0.20739232594819945, -0.027737110077093046, 0.3807810753997829, -0.3977061265355183, -0.18112909680025446, 0.052229902745845415, -0.16852011624723673, -0.15320264779600418, 0.12624693910280863, -0.16699425488089523, -0.0402991053286112, 0.0003281834716391232, 0.020315650565963652, -0.16492966352961957, -0.16374580461221436, 0.41244733623332447, -0.041404227157019906, 0.2354634048255725, 0.050400836031056113, 0.1450455933291879, 0.07931310226882084, -0.1048497669916186, -0.008338962215930223, -0.20796439240479636, 0.15303812988309395, 0.3044262420282596, 0.07268267975369883, 0.12316361600015727, -0.37069801199767327, -0.12089720339928237, 0.12798637907124227, 0.08867790775063138, 0.03599032694991264, -0.006751545213369859, -0.32432743071371484, 0.09786320870949163, -0.18697341094310913, -0.1848811288881633, -0.0783801208405445, 0.023621075993610754, 0.11791163822636008, -0.18805363582861093, -0.09929308078345558, 0.11940989048323697, 0.09100248786206874, -0.07546885160263628, -0.0012297269034509857, -0.013271582940231182, 0.057694938111429415, -0.03158431169059542, 0.07962351218642046, 0.14560155525234425, 0.03390040504746139, -0.13277737289253208, 0.31996178686515325, -0.027402256563719776, -0.23930391855537891, 0.09453875840538079, -0.19074834671078456, -0.1368551942028312, 0.12309198120298485, 0.013453996067659723, 0.2166892561233706, 0.01826063993697365, 0.26901656388913076, -0.12103307309250037, 0.09266799742666383, 0.2230943977030822, 0.11286955469080971, 0.12048282870091498, 0.012959657495634424, 0.07883614431678627, 0.17901441278970903, 0.009277300894609652, -0.18588995096635902, -0.33148194746010834, -0.1762449157573024, -0.05963979724199615, 0.212305450398061, -0.20352042670694775, -0.21829227378798854, 0.28738629445433617, 0.04205627430282119, 0.13080351261628997, 0.17549806284821695, 0.21743202837468642, 0.09210957780790825, 0.0259743493289635, -0.049673121629489794, 0.1378344343845836, 0.3214275411123203, 0.017570953247033887, -0.10744247006045447, -0.08200773859344837, 0.2891558452198903]
|
707.0192
|
Statistical field theory for a multicomponent fluid: The collective
variables approach
|
Using the collective variables (CV) method the basic relations of statistical
field theory of a multicomponent non-homogeneous fluids are reconsidered. The
corresponding CV action depends on two sets of scalar fields - fields
$\rho_{\alpha}$ connected to the local density fluctuations of the $\alpha$th
species of particles and fields $\omega_{\alpha}$ conjugated to
$\rho_{\alpha}$. The explicit expressions for the CV field correlations and
their relation to the density correlation functions are found. The perturbation
theory is formulated and a mean field level (MF) of the theory is considered in
detail.
|
cond-mat.soft cond-mat.stat-mech
|
using the collective variables cv method the basic relations of statistical field theory of a multicomponent nonhomogeneous fluids are reconsidered the corresponding cv action depends on two sets of scalar fields fields rho_alpha connected to the local density fluctuations of the alphath species of particles and fields omega_alpha conjugated to rho_alpha the explicit expressions for the cv field correlations and their relation to the density correlation functions are found the perturbation theory is formulated and a mean field level mf of the theory is considered in detail
|
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|
[-0.18362751709639855, 0.16843507390057175, -0.12028517493785455, 0.12088240014828057, 0.002793980550941551, -0.09714964790077045, -0.005413059165283781, 0.3064215024612073, -0.251076760038134, -0.2717391476409788, 0.045650624692836116, -0.26249381637029434, -0.13465814893508607, 0.14125711414106618, 0.00419597335202598, 0.03355691793920665, -0.053652324269515, 0.09861210791458344, -0.06517345988025738, -0.2432499006069426, 0.34146139669050085, -0.005258591214045026, 0.28939051879034644, 0.008158368661988998, 0.10603936549293509, 0.023686801276073373, -0.04536856618849026, 0.07973062347897714, -0.11711698398529284, 0.14078130717549858, 0.19420570793197672, 0.09775515827724988, 0.2211544876061808, -0.40523002759136, -0.2342182023787935, 0.08584443439097925, 0.10640731438908768, 0.06702507970869359, 0.0026377609933608734, -0.2508081428963563, 0.02776126160511169, -0.13217035130779634, -0.14658730697079464, -0.07432431534960351, 0.049994392479748476, 0.0813963175590696, -0.2877728912936545, 0.1486127437895228, 0.004825899670510714, 0.09385276121226535, -0.1011706364887028, -0.12096974925919511, -0.04751852905677482, 0.10468114208130316, 0.056669145592370594, 0.038854938419602664, 0.1753164987339392, -0.183727216462594, -0.08523513014955532, 0.3516285911941066, -0.0922072737681112, -0.23579225145633623, 0.1697548964949346, -0.14596259028211922, -0.1081035481551769, 0.0850876476187473, 0.13681364490853987, 0.13857258867001396, -0.15840592658436248, 0.1281110173360252, -0.008004882364887101, 0.14204121748220988, 0.015305484302513215, 0.03592309254708689, 0.2118034172460608, 0.050326726361895086, -0.0036274350258982046, 0.10441606908223067, -0.06786786497773967, -0.15549491872561388, -0.33011638308907376, -0.16826132755598117, -0.18361565936356783, 0.0256730269576455, -0.09127815297337104, -0.18795786746617021, 0.41112034668310965, 0.11609188468133945, 0.12891356874492832, 0.022208527870604705, 0.22656829992908684, 0.2015231088521066, 0.04045908285529706, 0.04534923755456747, 0.22795700032970515, 0.3002735495396044, 0.03790648924400923, -0.2064180193527805, -0.006081656809767772, 0.07056171018041499]
|
707.0193
|
High spatial resolution mid-infrared observations of the low-mass young
star TW Hya
|
We want to improve knowledge of the structure of the inner few AU of the
circumstellar disk around the nearby T Tauri star TW Hya. Earlier studies have
suggested the existence of a large inner hole, possibly caused by interactions
with a growing protoplanet. We used interferometric observations in the N-band
obtained with the MIDI instrument on the Very Large Telescope Interferometer,
together with 10 micron spectra recorded by the infrared satellite Spitzer. The
fact that we were able to determine N-band correlated fluxes and visibilities
for this comparatively faint source shows that MIR interferometry can be
applied to a large number of low-mass young stellar objects.
The MIR spectra obtained with Spitzer reveal emission lines from HI (6-5), HI
(7-6), and [Ne II] and show that over 90% of the dust we see in this wavelength
regime is amorphous. According to the correlated flux measured with MIDI, most
of the crystalline material is in the inner, unresolved part of the disk, about
1 AU in radius. The visibilities exclude the existence of a very large (3-4 AU
radius) inner hole in the circumstellar disk of TW Hya, which was required in
earlier models. We propose instead a geometry of the inner disk where an inner
hole still exists, but at a much reduced radius, with the transition from zero
to full disk height between 0.5 and 0.8 AU, and with an optically thin
distribution of dust inside. Such a model can comply with SED and MIR
visibilities, as well as with visibility and extended emission observed in the
NIR at 2 micron. If a massive planet was the reason for this inner hole, as has
been speculated, its orbit would have to be closer to the star than 0.3 AU.
Alternatively, we may be witnessing the end of the accretion phase and an early
phase of an inward-out dispersal of the circumstellar disk.
|
astro-ph
|
we want to improve knowledge of the structure of the inner few au of the circumstellar disk around the nearby t tauri star tw hya earlier studies have suggested the existence of a large inner hole possibly caused by interactions with a growing protoplanet we used interferometric observations in the nband obtained with the midi instrument on the very large telescope interferometer together with 10 micron spectra recorded by the infrared satellite spitzer the fact that we were able to determine nband correlated fluxes and visibilities for this comparatively faint source shows that mir interferometry can be applied to a large number of lowmass young stellar objects the mir spectra obtained with spitzer reveal emission lines from hi 65 hi 76 and ne ii and show that over 90 of the dust we see in this wavelength regime is amorphous according to the correlated flux measured with midi most of the crystalline material is in the inner unresolved part of the disk about 1 au in radius the visibilities exclude the existence of a very large 34 au radius inner hole in the circumstellar disk of tw hya which was required in earlier models we propose instead a geometry of the inner disk where an inner hole still exists but at a much reduced radius with the transition from zero to full disk height between 05 and 08 au and with an optically thin distribution of dust inside such a model can comply with sed and mir visibilities as well as with visibility and extended emission observed in the nir at 2 micron if a massive planet was the reason for this inner hole as has been speculated its orbit would have to be closer to the star than 03 au alternatively we may be witnessing the end of the accretion phase and an early phase of an inwardout dispersal of the circumstellar disk
|
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|
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|
707.0194
|
Perturbation method to model enamel caries progress
|
We develop a theoretical model of the carious lesion progress caused by acids
diffusing into the tooth enamel from the dental plaque. The acids react with
static hydroxyapatite, which leads to demineralization of the enamel, and
consequently to the development of the carious lesion. The model utilizes the
diffusion-reaction equations with one static and one mobile reactant where the
reaction term is proportional to the product of concentrations of acids and of
mineral. The changes of concentrations are calculated approximately by means of
a perturbation method. The analytical approximate solutions are compared with
the numerical ones and experimental data.
|
cond-mat.stat-mech cond-mat.other
|
we develop a theoretical model of the carious lesion progress caused by acids diffusing into the tooth enamel from the dental plaque the acids react with static hydroxyapatite which leads to demineralization of the enamel and consequently to the development of the carious lesion the model utilizes the diffusionreaction equations with one static and one mobile reactant where the reaction term is proportional to the product of concentrations of acids and of mineral the changes of concentrations are calculated approximately by means of a perturbation method the analytical approximate solutions are compared with the numerical ones and experimental data
|
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|
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|
707.0195
|
Boundary driven zero-range processes in random media
|
The stationary states of boundary driven zero-range processes in random media
with quenched disorder are examined, and the motion of a tagged particle is
analyzed. For symmetric transition rates, also known as the random barrier
model, the stationary state is found to be trivial in absence of boundary
drive. Out of equilibrium, two further cases are distinguished according to the
tail of the disorder distribution. For strong disorder, the fugacity profiles
are found to be governed by the paths of normalized $\alpha$-stable
subordinators. The expectations of integrated functions of the tagged particle
position are calculated for three types of routes.
|
cond-mat.stat-mech
|
the stationary states of boundary driven zerorange processes in random media with quenched disorder are examined and the motion of a tagged particle is analyzed for symmetric transition rates also known as the random barrier model the stationary state is found to be trivial in absence of boundary drive out of equilibrium two further cases are distinguished according to the tail of the disorder distribution for strong disorder the fugacity profiles are found to be governed by the paths of normalized alphastable subordinators the expectations of integrated functions of the tagged particle position are calculated for three types of routes
|
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|
[-0.11085384749807417, 0.23339739593677222, -0.07206478677690029, 0.08525664760963991, 0.038797398936003445, -0.16361910158768297, 0.03233504887204617, 0.3910260535031557, -0.2725556639302522, -0.22678786049596966, 0.06847466481616721, -0.3204274975974113, -0.06782645856030285, 0.14392703861929476, 0.036715512266382574, 0.07550037240842357, 0.0025428717210888865, 0.03235125493025407, -0.01798017982393503, -0.19622114611556754, 0.3366003728879878, -0.0017985594924539328, 0.29238346645608543, 0.030573115622974, 0.04601145900785923, -0.022182988952845335, -0.04294440234312788, 0.04257102710258551, -0.11173570876941084, 0.02937916828028392, 0.19025870859622956, -0.005498869949951768, 0.2118520467169583, -0.3945967058464885, -0.20665820094756782, 0.1145966750185471, 0.16006083661690354, 0.08299618709832429, -0.04424058076925576, -0.3327994449459948, 0.07227096575312317, -0.13975155004300177, -0.21677765915635974, -0.024785178431775422, 0.05504838257096708, 0.11183581391349434, -0.29890435541048643, 0.1312027081634733, 0.0572788638365455, 0.029947860846295953, -0.08030549835879355, -0.12015775454230607, -0.08828691304894164, 0.1521297396160662, 0.07261756358435377, -0.018025776288704946, 0.18975583918392658, -0.15797199043037835, -0.1387715963064693, 0.37371548429131507, -0.03563118298072368, -0.23403917893301696, 0.19207598628709094, -0.1694741010526195, -0.07988469392061233, 0.1842948512174189, 0.15424482524162159, 0.10212786502204835, -0.20623983043304178, 0.04641888955084141, -2.9027622658759356e-05, 0.09031054086168297, 0.0729285831283778, -0.005656553162261844, 0.19080055777449162, 0.11499040549620985, 0.04813275939202868, 0.1950699874269776, -0.0733489584340714, -0.21225940300151705, -0.30069102278910576, -0.11077171177603304, -0.20506500152871013, 0.05112686071312055, -0.10974994289674214, -0.21655521785840393, 0.3594386140722781, 0.12242014267481864, 0.1975178252160549, 0.042961210748180746, 0.1663569019222632, 0.19387503124657088, -0.023044560113921763, 0.04299859275575727, 0.2173656666907482, 0.1483077107439749, 0.06473157791420818, -0.19176194032654167, 0.11970363782253117, 0.03931489581707865]
|
707.0196
|
Neutrino Constraints on the Dark Matter Total Annihilation Cross Section
|
In the indirect detection of dark matter through its annihilation products,
the signals depend on the square of the dark matter density, making precise
knowledge of the distribution of dark matter in the Universe critical for
robust predictions. Many studies have focused on regions where the dark matter
density is greatest, e.g., the Galactic Center, as well as on the cosmic signal
arising from all halos in the Universe. We focus on the signal arising from the
whole Milky Way halo; this is less sensitive to uncertainties in the dark
matter distribution, and especially for flatter profiles, this halo signal is
larger than the cosmic signal. We illustrate this by considering a dark matter
model in which the principal annihilation products are neutrinos. Since
neutrinos are the least detectable Standard Model particles, a limit on their
flux conservatively bounds the dark matter total self-annihilation cross
section from above. By using the Milky Way halo signal, we show that previous
constraints using the cosmic signal can be improved on by 1-2 orders of
magnitude; dedicated experimental analyses should be able to improve both by an
additional 1-2 orders of magnitude.
|
astro-ph hep-ph nucl-th
|
in the indirect detection of dark matter through its annihilation products the signals depend on the square of the dark matter density making precise knowledge of the distribution of dark matter in the universe critical for robust predictions many studies have focused on regions where the dark matter density is greatest eg the galactic center as well as on the cosmic signal arising from all halos in the universe we focus on the signal arising from the whole milky way halo this is less sensitive to uncertainties in the dark matter distribution and especially for flatter profiles this halo signal is larger than the cosmic signal we illustrate this by considering a dark matter model in which the principal annihilation products are neutrinos since neutrinos are the least detectable standard model particles a limit on their flux conservatively bounds the dark matter total selfannihilation cross section from above by using the milky way halo signal we show that previous constraints using the cosmic signal can be improved on by 12 orders of magnitude dedicated experimental analyses should be able to improve both by an additional 12 orders of magnitude
|
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|
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|
707.0197
|
On the non-existence of L-space surgery structure
|
We exhibit homology spheres which never yield lens spaces by any integral
Dehn surgery by using Ozsvath Szabo's contact invariant.
|
math.GT math.DG
|
we exhibit homology spheres which never yield lens spaces by any integral dehn surgery by using ozsvath szabos contact invariant
|
[['we', 'exhibit', 'homology', 'spheres', 'which', 'never', 'yield', 'lens', 'spaces', 'by', 'any', 'integral', 'dehn', 'surgery', 'by', 'using', 'ozsvath', 'szabos', 'contact', 'invariant']]
|
[-0.247043321095407, 0.11062004626728594, -0.28901051515713333, 0.15109299718169494, -0.13240014156326652, -0.26994271147996185, -0.08200517776422203, 0.4262917278334498, -0.25412653959356246, -0.3413518264889717, 0.09892827328294515, -0.22315341904759406, -0.28443169239908456, 0.21844881661236287, -0.22708104131743312, 0.05606487290933728, 0.15523312154691665, -0.01673019668087363, -0.14944080347195268, -0.3274001894518733, 0.488639260828495, -0.09916427712887525, 0.039029981521889565, 0.1417184963822365, 0.1764171757735312, 0.149179275194183, -0.02200322796124965, 0.09234748552553355, -0.3848735237726942, 0.08848448377102613, 0.26322301303735, -0.13432314014062285, 0.027495233900845052, -0.26583888083696366, -0.1670090681873262, 0.12997316961409525, 0.12120726499706506, -0.14853786684689113, -0.011072160117328167, -0.40088606998324394, 0.03606921955943108, -0.18130815355107188, -0.10328525467775762, -0.1547821563668549, -0.0271629489492625, 0.06522180549800397, -0.03542611342854798, -0.030577264539897443, 0.06349506732076407, 0.19735077102668583, -0.001615748181939125, -0.037067166063934565, -0.038073118217289446, 0.21078954273834824, 0.026713283150456846, 0.14884562643710525, 0.22321754307486116, -0.0713190452195704, -0.21079604853875936, 0.29810454696416855, -0.08505772430216893, -0.34921079613268374, 0.04117852998897433, -0.10326026373077184, -0.24096707794815303, 0.39427944682538507, -0.09992399509064853, 0.09000471765175462, -0.04080521538853645, 0.1190359901636839, -0.05930203692987561, 0.07646295465528966, 0.2137209799140692, -0.13626782409846783, 0.17904054131358862, -0.018098238110542297, 0.15267472956329584, 0.1805100512690842, -0.00278742266818881, 0.009637920735985971, -0.22750862650573253, -0.3186668388545513, -0.1593838636064902, 0.28070765030570327, -0.15131409820169212, -0.18749549500644208, 0.2157325217500329, -0.16499144081026315, 0.14847971722483636, 0.2826263698807452, 0.2836939889937639, -0.02517941817641258, 0.17877162136137487, 0.04410920892842114, 0.15970199890434741, 0.1327120371395722, 0.004332049842923879, -0.061030578799545765, -0.04355164621956646, 0.4131304370937869]
|
707.0198
|
On the divisibility of characteristic classes of non-oriented surface
bundles
|
In this note we introduce a construction which assigns to an arbitrary
manifold bundle its fiberwise orientation covering. This is used to show that
the zeta classes of unoriented surface bundles are not divisible in the stable
range.
|
math.AT math.GT
|
in this note we introduce a construction which assigns to an arbitrary manifold bundle its fiberwise orientation covering this is used to show that the zeta classes of unoriented surface bundles are not divisible in the stable range
|
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|
[-0.1971622105001619, 0.10281958716108133, -0.11079375921307426, 0.045429630581853224, -0.10746714349002823, -0.1255258189048618, -0.030430821236222982, 0.4523332425834317, -0.3208661373508604, -0.24001637882994195, 0.045210828103958385, -0.16403074403244414, -0.17320374197228566, 0.14839500252549587, -0.20097295403186427, -0.05124847304327168, 0.014867322396879134, 0.07967445322949636, -0.08578539344996802, -0.27561626301183806, 0.427525923244263, -0.011648253280375349, 0.23876924284023085, 0.09433857824555353, 0.12520048492833188, 0.016772667467241837, 0.0052002456382309135, 0.02017283268076809, -0.1626835770142574, 0.16671041460511715, 0.3081641768742549, 0.05011629175982977, 0.1729717756082353, -0.3126704541378115, -0.17663183837047605, 0.2194334978825952, 0.10540062882692407, -0.003115425422469056, 0.029879211399116014, -0.22161510856331965, 0.1274201979395002, -0.1571456706641536, -0.1590089454670976, -0.08060149409759201, 0.06180332927033305, 0.010611620045414097, -0.2507036492277525, -0.08848624318642051, 0.07897006683541756, 0.08224608217317023, -0.08699920125562992, -0.05345918252868088, -0.0651133411416882, 0.10764098720085856, 0.021617103190357357, 0.07840159660401314, 0.152307768867008, -0.0505311060329213, -0.10613640664929622, 0.34609829590312746, -0.06275645792974453, -0.29319313085196835, 0.1408377378492763, -0.12259793759470708, -0.2053003766892576, 0.1874947899854497, 0.11373068342034362, 0.23257055592502615, -0.011641493973959433, 0.10846725929724543, -0.13638050638531385, 0.13307230882836799, 0.07044679667849682, -0.042323578234859986, 0.1994745124523577, 0.10383071395029363, 0.11757844997765987, 0.1580578126013279, -0.06610695772657268, -0.0573576571615903, -0.3602178988880233, -0.25232688122579067, -0.1298466992907618, 0.14922417877402805, -0.049570680571425906, -0.23507705429495362, 0.4175977762788534, 0.11734637868051466, 0.24906772551567932, 0.14637329635565707, 0.20667906865281493, 0.04317332409616364, 0.051670973569056707, 0.06879173252290409, 0.14780058687258707, 0.15712228270345613, 0.0018015196056742418, -0.09669732399235823, -0.011944593555342994, 0.13487151823937893]
|
707.0199
|
Matter in the Bulk and its Consequences on the Brane: A Possible Source
of Dark Energy
|
The usual brane world scenario with anti de Sitter bulk has been generalized
by considering a general form of energy momentum tensor in the bulk. The
modified Einstein equation on the brane has been constructed. Two examples have
been cited of which, the first one shows the usual brane equations when matter
in the bulk is a negative cosmological constant. In the second example, the
bulk matter is in the form of perfect fluid and as a result, an effective
perfect fluid is obtained in the brane. Also it is noted that the effect of the
dust bulk on the brane shows a dark energy behaviour and may be a possible
explanation of the dark energy from the present day observational point of
view.
|
gr-qc
|
the usual brane world scenario with anti de sitter bulk has been generalized by considering a general form of energy momentum tensor in the bulk the modified einstein equation on the brane has been constructed two examples have been cited of which the first one shows the usual brane equations when matter in the bulk is a negative cosmological constant in the second example the bulk matter is in the form of perfect fluid and as a result an effective perfect fluid is obtained in the brane also it is noted that the effect of the dust bulk on the brane shows a dark energy behaviour and may be a possible explanation of the dark energy from the present day observational point of view
|
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|
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|
707.02
|
Finsler Spinoptics
|
The objective of this article is to build up a general theory of geometrical
optics for spinning light rays in an inhomogeneous and anisotropic medium
modeled on a Finsler manifold. The prerequisites of local Finsler geometry are
reviewed together with the main properties of the Cartan connection used in
this work. Then, the principles of Finslerian spinoptics are formulated on the
grounds of previous work on Riemannian spinoptics, and relying on the generic
coadjoint orbits of the Euclidean group. A new presymplectic structure on the
indicatrix-bundle is introduced, which gives rise to a foliation that
significantly departs from that generated by the geodesic spray, and leads to a
specific anomalous velocity, due to the coupling of spin and the Cartan
curvature, and related to the optical Hall effect.
|
math-ph hep-th math.DG math.MP
|
the objective of this article is to build up a general theory of geometrical optics for spinning light rays in an inhomogeneous and anisotropic medium modeled on a finsler manifold the prerequisites of local finsler geometry are reviewed together with the main properties of the cartan connection used in this work then the principles of finslerian spinoptics are formulated on the grounds of previous work on riemannian spinoptics and relying on the generic coadjoint orbits of the euclidean group a new presymplectic structure on the indicatrixbundle is introduced which gives rise to a foliation that significantly departs from that generated by the geodesic spray and leads to a specific anomalous velocity due to the coupling of spin and the cartan curvature and related to the optical hall effect
|
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|
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|
707.0201
|
Gravitational waves versus black holes
|
It is argued that, in order for the gravitational field to be propagated as a
wave, it is necessary for it to satisfy a further set of field equations, in
addition to those of Einstein and Hilbert, and these equations mean there is a
preferred coordinate frame, called the Global Inertial Frame, giving rise to a
unique metric . The implication is that a true gravitational field is not
compatible with Einstein's Principle of Equivalence, which is in contradiction
with his other fundamental concept of locality. The additional field equations
ensure that gravitational collapse does not go below the Schwarzschild radius,
thereby excluding the possibility of singular solutions (black holes) of the
Einstein-Hilbert equations. Such solutions would also violate Einstein's
locality principle.
|
gr-qc
|
it is argued that in order for the gravitational field to be propagated as a wave it is necessary for it to satisfy a further set of field equations in addition to those of einstein and hilbert and these equations mean there is a preferred coordinate frame called the global inertial frame giving rise to a unique metric the implication is that a true gravitational field is not compatible with einsteins principle of equivalence which is in contradiction with his other fundamental concept of locality the additional field equations ensure that gravitational collapse does not go below the schwarzschild radius thereby excluding the possibility of singular solutions black holes of the einsteinhilbert equations such solutions would also violate einsteins locality principle
|
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|
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|
707.0202
|
Eigenvalues of the transversal Dirac operator on Kahler foliations
|
In this paper, we prove Kirchberg inequalities for any kahler spin
foliations. Their limiting cases are then characterized as being transversal
minimal Einstein foliations. The key point is to introduce the transversal
kahlerian twistor operators.
|
math.DG
|
in this paper we prove kirchberg inequalities for any kahler spin foliations their limiting cases are then characterized as being transversal minimal einstein foliations the key point is to introduce the transversal kahlerian twistor operators
|
[['in', 'this', 'paper', 'we', 'prove', 'kirchberg', 'inequalities', 'for', 'any', 'kahler', 'spin', 'foliations', 'their', 'limiting', 'cases', 'are', 'then', 'characterized', 'as', 'being', 'transversal', 'minimal', 'einstein', 'foliations', 'the', 'key', 'point', 'is', 'to', 'introduce', 'the', 'transversal', 'kahlerian', 'twistor', 'operators']]
|
[-0.2461334207760436, 0.13406154223318612, -0.028340715169906616, 0.17016794963606766, -0.13228733146430127, -0.2389722734157528, -0.10260881289640175, 0.3607702577353588, -0.2464918158017099, -0.12213054356065446, 0.11830443782133183, -0.27939090930989813, -0.18782053914453303, 0.17957928678286927, -0.1980259250317301, 0.05447788556505527, 0.033925177423017365, 0.059164136940879485, -0.15572513887392622, -0.3023303160377379, 0.5334425259913717, -0.023661229120833533, 0.18271738228255086, 0.11266875080764294, 0.1534198892169765, 0.0032477279858929772, 0.014853561202263726, -0.022155822111329014, -0.16608585151178495, 0.08677190582134894, 0.32030553349426816, 0.056758416942985994, 0.1638327110026564, -0.36655963233539035, -0.14175710872347866, 0.26443445844841856, 0.15215906126956855, 0.07437196152417787, 0.05305136901858662, -0.2846040319119181, 0.06757232812898499, -0.06535251837755952, -0.2563543303803142, -0.19973401725292206, 0.020523103805524964, -0.01257196616913591, -0.13226792687284095, 0.0011428036194826875, 0.1601291483866849, 0.12681939008845283, -0.06612680562372719, -0.08067025512989079, -0.09629320119773703, 0.04486175115619387, 0.05292914598248899, 0.08326545849974666, 0.15563784833731395, 0.0002461939983602081, -0.15071583024359175, 0.3384722591510841, -0.050959459745458194, -0.35024347762976377, 0.03894304728933743, -0.16374961624720266, -0.20567396132807647, 0.021665228291281632, 0.07467278898028391, 0.19084556882402726, -0.17498347397361483, 0.2048037350443857, -0.06112285573700709, -0.012650351099104487, 0.17049255508131214, 0.06418311106307166, 0.13302135573966162, 0.0679982811744724, 0.20509979513008147, 0.14252558590045997, 0.024834479657667025, -0.025557341426610945, -0.3909883123423372, -0.2516284487077168, -0.08246597017028502, 0.2169028762994068, -0.16054829450856362, -0.19006844809544937, 0.41610007264784404, 0.02856948519391673, 0.14475375775779997, 0.11843662355095148, 0.22765018519546304, 0.04800082149449736, 0.048722619051113726, 0.1353946333085852, 0.24314866035378405, 0.2498740069035973, 0.04766368425584265, -0.07881990330559867, -0.06350606496312788, 0.21206669666405234]
|
707.0203
|
Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations
|
In this paper, we give an optimal lower bound for the eigenvalues of the
basic Dirac operator on a quaternion-Kahler foliation. The limiting case is
characterized by the existence of quaternion-Kahler Killing spinors. We end
this paper by giving some examples.
|
math.DG
|
in this paper we give an optimal lower bound for the eigenvalues of the basic dirac operator on a quaternionkahler foliation the limiting case is characterized by the existence of quaternionkahler killing spinors we end this paper by giving some examples
|
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|
[-0.20264673891772583, 0.13276949959058917, -0.05438571868509781, 0.06733368444767576, -0.10568374150046488, -0.10874628760602052, 0.030957918250706137, 0.304780045705961, -0.18856460227426597, -0.24680522397705695, 0.11978918468656313, -0.2741855411994748, -0.23733364449950253, 0.15950384572511767, -0.11778724616075434, 0.020221297879044604, 0.04170233649542419, 0.0985206222933967, -0.11535081083363877, -0.265134982901012, 0.4882491210975298, 0.05424357128397721, 0.19991602532270297, 0.07785048193820729, 0.12286252532972068, -0.033105225733867504, 0.050751422441042054, -0.04594125128464728, -0.21103464609875186, 0.15342682602292881, 0.22710781608049463, 0.09761555798397195, 0.23390817524092952, -0.39822895638644695, -0.1110392473325724, 0.1629131389043589, 0.19732457986555813, 0.07151330523860142, -0.07596408445444866, -0.3095288645055872, 0.06674458493092437, -0.11267525637834673, -0.2098200940413446, -0.0930278814602189, -0.015998382019106208, -0.07103094063335802, -0.19869017210312007, 0.06619474941455736, 0.15099292114467883, 0.0718176194534796, -0.12188097807328875, -0.09477680086629556, 0.0002827921870914174, 0.059582990435201946, 0.06877727781013562, -0.05484702619837552, 0.029480087888858666, -0.06584862750250756, -0.12349617767443018, 0.3053865650350728, -0.06497662325912132, -0.30850328241543074, 0.09574332739022083, -0.1286654078242619, -0.14696784699108542, 0.06272082083018088, 0.14390811512655602, 0.20024384258360398, -0.16135839018516424, 0.16993475619067505, -0.12617347103248283, 0.015612934057305499, 0.13607358264668687, 0.009752508502726147, 0.1288421188094994, 0.12729541984636608, 0.1946805203560649, 0.1775735583746942, 0.024472055848824177, -0.046257762789226525, -0.4241443461761242, -0.21610012579646826, -0.16378774861918716, 0.1552274244860178, -0.12047872289152044, -0.15602941284092461, 0.48156224663664654, 0.08794004415593497, 0.2254895350282512, 0.1039155126980892, 0.230691672234637, 0.17520557673329987, -0.05014194911572992, 0.11711396330331521, 0.22847598713109973, 0.16931567151417456, 0.06577870775604756, -0.14992109405603715, -0.030983892746451424, 0.15468811659460388]
|
707.0204
|
RpA ratio: total shadowing due to running coupling
|
We predict that the RpA ratio at the most forward rapidities to be measured
at LHC should be strongly suppressed, close to "total shadowing'' (RpA =
A^(-1/3)), as a consequence of running coupling effects in the nonlinear QCD
evolution.
|
hep-ph
|
we predict that the rpa ratio at the most forward rapidities to be measured at lhc should be strongly suppressed close to total shadowing rpa a13 as a consequence of running coupling effects in the nonlinear qcd evolution
|
[['we', 'predict', 'that', 'the', 'rpa', 'ratio', 'at', 'the', 'most', 'forward', 'rapidities', 'to', 'be', 'measured', 'at', 'lhc', 'should', 'be', 'strongly', 'suppressed', 'close', 'to', 'total', 'shadowing', 'rpa', 'a13', 'as', 'a', 'consequence', 'of', 'running', 'coupling', 'effects', 'in', 'the', 'nonlinear', 'qcd', 'evolution']]
|
[-0.0884127540660924, 0.2329441632732357, -0.14761502979519336, 0.1583352844096034, -0.027168134080344124, -0.10306310221111696, -0.0009140121799550558, 0.37992593783297035, -0.26279693640045526, -0.2556061056001406, -0.02787963981360295, -0.335311161648286, -0.002918230259398881, 0.09961755823736128, 0.08048564732368839, 0.037869262622399744, 0.038594281889106095, -0.022434439019937264, -0.08578982322452296, -0.22457833006046712, 0.24083354471153334, 0.13191306051847182, 0.20187475272503339, 0.1729443567854009, -3.900469623898205e-05, 0.03473402509514831, 0.030631315943441893, 0.07541847253512395, -0.08166776421747177, -0.061361594199153935, 0.3140127549045964, -0.04358947139821554, 0.18750505570910478, -0.3678795090190282, -0.14293769987202004, 0.086016363170194, 0.16877539671565356, 0.0899721055634712, 0.01622523910880677, -0.2487024196766709, 0.11965563101693988, -0.21996742227163754, -0.19468206586316228, -0.03402787098955167, -0.002692424839264468, -0.013667453031398748, -0.3039729870353384, 0.07520091072901298, -0.07552454327723306, -0.05507888679245585, 0.03750559465199905, -0.17869558702774443, -0.05159775483863134, 0.054917371549986695, 0.11514524071428336, 0.12057162312741734, 0.18572324402875415, -0.16744211829255187, -0.07406519658520426, 0.4129958782884243, -0.11884839249480712, -0.13863196204367437, 0.15746614313684404, -0.23970060060290913, -0.14912232665933275, 0.17595446202903986, 0.2694986884629256, 0.047118852723782, -0.1323935307047673, 0.020574965342683226, 0.031221132272070174, 0.16595665110569252, 0.07881652311372914, 0.09626131427572354, 0.1781807807029078, 0.19925404816412515, 0.04922272838456066, 0.05034476212581227, -0.0522314900238263, -0.10653600449624814, -0.3777274717821887, -0.015440702144252626, -0.1349212649786894, 0.04586345543104567, -0.1196691144110733, -0.09663166475825404, 0.31169036584661197, 0.14691301190147274, 0.2489385901901283, 0.04574805718086856, 0.2909038353123163, 0.2188481101490508, 0.11079889996663521, 0.08623160279699062, 0.3916700638242458, 0.18106110942991158, 0.1340416547793307, -0.3089004891287339, 0.10060327592011738, 0.06577499868887428]
|
707.0205
|
Resolving Extragalactic Star Clusters with HST/ACS
|
With HST, colour-magnitude diagrams (CMDs) can be obtained for young star
clusters well beyond the Local Group. Such data can help constrain cluster ages
and metallicities, and also provide a reference against which intermediate- and
high mass stellar models can be compared. Here, CMDs are presented for two
massive (>10^5 Msun) clusters and compared with Padua and Geneva isochrones.
The problem of the ratio of blue to red supergiants is also addressed.
|
astro-ph
|
with hst colourmagnitude diagrams cmds can be obtained for young star clusters well beyond the local group such data can help constrain cluster ages and metallicities and also provide a reference against which intermediate and high mass stellar models can be compared here cmds are presented for two massive 105 msun clusters and compared with padua and geneva isochrones the problem of the ratio of blue to red supergiants is also addressed
|
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|
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|
707.0206
|
Three-port beam splitters-combiners for interferometer applications
|
We derive generic phase and amplitude coupling relations for beam
splitters-combiners that couple a single port with three output ports or input
ports, respectively. We apply the coupling relations to a reflection grating
that serves as a coupler to a single-ended Fabry-Perot ring cavity. In the
impedance-matched case such an interferometer can act as an all-reflective ring
mode cleaner. It is further shown that in the highly undercoupled case almost
complete separation of carrier power and phase signal from a cavity strain can
be achieved.
|
physics.optics
|
we derive generic phase and amplitude coupling relations for beam splitterscombiners that couple a single port with three output ports or input ports respectively we apply the coupling relations to a reflection grating that serves as a coupler to a singleended fabryperot ring cavity in the impedancematched case such an interferometer can act as an allreflective ring mode cleaner it is further shown that in the highly undercoupled case almost complete separation of carrier power and phase signal from a cavity strain can be achieved
|
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|
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|
707.0207
|
Variable stars in the field of the old open cluster Melotte 66
|
We report the results of photometric monitoring of the Melotte 66 field in
BVI filters. Ten variables were identified with nine being new discoveries. The
sample includes eight eclipsing binaries of which four are W UMa type stars,
one star is a candidate blue straggler. All four contact binaries are likely
members of the cluster based on their estimated distances. Ten blue stars with
U-B<-0.3 were detected inside a 14.8 x 22.8 arcmin^2 field centred on the
cluster. Time series photometry for 7 of them showed no evidence for any
variability. The brightest object in the sample of blue stars is a promising
candidate for a hot subdwarf belonging to the cluster. We show that the
anomalously wide main sequence of the cluster, reported in some earlier
studies, results from a combination of two effects: variable reddening occuring
across the cluster field and the presence of a rich population of binary stars
in the cluster itself. The density profile of the cluster field is derived and
the total number of member stars with 16<V<21 or 2.8<M_{V}<7.8 is estimated
conservatively at about 1100.
|
astro-ph
|
we report the results of photometric monitoring of the melotte 66 field in bvi filters ten variables were identified with nine being new discoveries the sample includes eight eclipsing binaries of which four are w uma type stars one star is a candidate blue straggler all four contact binaries are likely members of the cluster based on their estimated distances ten blue stars with ub03 were detected inside a 148 x 228 arcmin2 field centred on the cluster time series photometry for 7 of them showed no evidence for any variability the brightest object in the sample of blue stars is a promising candidate for a hot subdwarf belonging to the cluster we show that the anomalously wide main sequence of the cluster reported in some earlier studies results from a combination of two effects variable reddening occuring across the cluster field and the presence of a rich population of binary stars in the cluster itself the density profile of the cluster field is derived and the total number of member stars with 16v21 or 28m_v78 is estimated conservatively at about 1100
|
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|
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|
707.0208
|
Foam-like structure of the Universe
|
On the quantum stage spacetime had the foam-like structure. When the Universe
cools, the foam structure tempers and does not disappear. We show that effects
caused by the foamed structure mimic very well the observed Dark Matter
phenomena. Moreover, we show that in a foamed space photons undergo a chaotic
scattering and together with every discrete source of radiation we should
observe a diffuse halo. We show that the distribution of the diffuse halo of
radiation around a point-like source repeats exactly the distribution of dark
matter around the same source, i.e. the DM halos are sources of the diffuse
radiation.
|
astro-ph gr-qc math-ph math.MP
|
on the quantum stage spacetime had the foamlike structure when the universe cools the foam structure tempers and does not disappear we show that effects caused by the foamed structure mimic very well the observed dark matter phenomena moreover we show that in a foamed space photons undergo a chaotic scattering and together with every discrete source of radiation we should observe a diffuse halo we show that the distribution of the diffuse halo of radiation around a pointlike source repeats exactly the distribution of dark matter around the same source ie the dm halos are sources of the diffuse radiation
|
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|
[-0.11266946495685837, 0.20732373054517378, -0.15150853471443204, 0.13787121057342092, -0.07727388891456004, -0.046899903215246626, -0.013961228173189235, 0.3931833248364158, -0.24255892031337364, -0.3130134765685785, 0.010631637628153336, -0.31135044371395715, -0.08142495313935941, 0.14959212148211676, 0.016547856042115477, -0.04791471538696401, 0.007939555659189378, 0.011737004830732499, -0.023644674331927212, -0.20555875749364128, 0.33549731173137626, 0.07636643183477555, 0.22536219490489157, 0.03240999843611723, 0.12451533312992294, -0.03040374101757413, -0.037789731756737915, -0.010287319683748767, -0.08808784006216211, -0.016809152808077266, 0.16684650441650117, 0.07878831887875895, 0.16275511799370962, -0.4389031404421301, -0.29611062572227037, 0.14018010746429463, 0.17362722090104282, 0.1221413539243069, -0.10698860545647285, -0.29591787819483195, 0.048459621565877506, -0.15281249170818614, -0.1606529532415368, 0.0477348961821287, -0.021084146514202994, 5.6168871313923655e-05, -0.1831540542494478, 0.11409261047213089, 0.06227172314221648, -0.06964124073412749, -0.08226490702185005, -0.046378116741186325, -0.04956361318772456, 0.05265339610937955, 0.03312513308304519, -0.0058244404170920356, 0.23764413134552226, -0.17233218210818485, -0.03767202341338933, 0.43271203158367977, -0.1032382420005996, -0.09817275358825037, 0.1562134116095039, -0.22291647380512983, -0.14734829431584123, 0.18025800763712366, 0.11309911650971459, 0.0887576889726195, -0.11057588263973248, 0.08526043508934908, -0.044318700739468385, 0.2198157625152997, 0.08881324499679527, 0.0409655857434736, 0.33284778638493895, 0.11981397160872964, 0.03407431610094586, 0.1372503576671133, -0.1519988977735272, -0.05001340119518561, -0.30243351564991594, -0.11304836388271634, -0.16799662353719888, 0.041159005116557214, -0.08106218454039582, -0.18252551238834028, 0.33053821474221523, 0.10618468344506651, 0.19968870573557249, 0.013660300928767365, 0.28079420931194676, 0.051611708145182913, 0.055615412338756685, 0.13340979676675235, 0.26153398386322624, 0.10236975049489352, 0.08043366607905615, -0.2338563532264221, 0.040280429653288555, -0.06022277851658182]
|
707.0209
|
Model-independent dark matter annihilation bound from the diffuse gamma
ray flux
|
An upper limit on the total annihilation cross section of dark matter (DM)
has recently been derived from the observed atmospheric neutrino background. We
show that comparable bounds are obtained for DM masses around the TeV scale by
observations of the diffuse gamma-ray flux by EGRET, because electroweak
bremsstrahlung leads to non-negligible electromagnetic branching ratios, even
if DM particles only couple to neutrinos at tree level. A better mapping and
the partial resolution of the diffuse gamma-ray background into astrophysical
sources by the GLAST satellite will improve this bound in the near future.
|
hep-ph
|
an upper limit on the total annihilation cross section of dark matter dm has recently been derived from the observed atmospheric neutrino background we show that comparable bounds are obtained for dm masses around the tev scale by observations of the diffuse gammaray flux by egret because electroweak bremsstrahlung leads to nonnegligible electromagnetic branching ratios even if dm particles only couple to neutrinos at tree level a better mapping and the partial resolution of the diffuse gammaray background into astrophysical sources by the glast satellite will improve this bound in the near future
|
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|
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|
707.021
|
Spin-boson dynamics beyond conventional perturbation theories
|
A novel approximation scheme is proposed to describe the dynamics of the
spin-boson problem. Being nonperturbative in the coupling strength nor in the
tunneling frequency, it gives reliable results over a wide regime of
temperatures and coupling strength to the thermal environment for a large class
of bath spectral densities.
We use a path-integral approach and start from the exact solution for the
two-level system population difference in the form of a generalized master
equation (GME). Then, we approximate inter-blip and blip-sojourns interactions
up to linear order, while retaining all intra-blip correlations to find the
kernels entering the GME in analytical form. Our approximation scheme, which we
call Weakly-Interacting Blip Approximation (WIBA), fully agrees with
conventional perturbative approximations in the tunneling matrix element
(Non-Interacting Blip Approximation) or in the system-bath coupling strength.
|
cond-mat.stat-mech
|
a novel approximation scheme is proposed to describe the dynamics of the spinboson problem being nonperturbative in the coupling strength nor in the tunneling frequency it gives reliable results over a wide regime of temperatures and coupling strength to the thermal environment for a large class of bath spectral densities we use a pathintegral approach and start from the exact solution for the twolevel system population difference in the form of a generalized master equation gme then we approximate interblip and blipsojourns interactions up to linear order while retaining all intrablip correlations to find the kernels entering the gme in analytical form our approximation scheme which we call weaklyinteracting blip approximation wiba fully agrees with conventional perturbative approximations in the tunneling matrix element noninteracting blip approximation or in the systembath coupling strength
|
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|
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|
707.0211
|
Stochastic domination for iterated convolutions and catalytic
majorization
|
We study how iterated convolutions of probability measures compare under
stochastic domination. We give necessary and sufficient conditions for the
existence of an integer $n$ such that $\mu^{*n}$ is stochastically dominated by
$\nu^{*n}$ for two given probability measures $\mu$ and $\nu$. As a consequence
we obtain a similar theorem on the majorization order for vectors in $\R^d$. In
particular we prove results about catalysis in quantum information theory.
|
quant-ph math.PR
|
we study how iterated convolutions of probability measures compare under stochastic domination we give necessary and sufficient conditions for the existence of an integer n such that mun is stochastically dominated by nun for two given probability measures mu and nu as a consequence we obtain a similar theorem on the majorization order for vectors in rd in particular we prove results about catalysis in quantum information theory
|
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|
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|
707.0212
|
Footprints of the Beyond in flavor physics: Possible role of the Top Two
Higgs Doublet Model
|
The B-factories results provide an impressive confirmation of the Standard
Model (SM) description of flavor and CP violation. Nevertheless, as more data
were accumulated, deviations in the 2.5-3.5 sigma range have emerged pointing
to the exciting possibility of new CP-odd phase(s) and flavor violating
parameters in B-decays. Primarily this seems to be the case in the time
dependent CP asymmetries in penguin dominated modes (e.g. B -> phi (eta') Ks).
We discuss these and other deviations from the SM and, as an illustration of
possible new physics scenarios, we examine the role of the Top Two Higgs
Doublet Model. This is a simple extension of the SM obtained by adding second
Higgs doublet in which the Yukawa interactions of the two Higgs doublets are
assigned in order to naturally account for the large top-quark mass.
Of course, many other extensions of the Standard Model could also account for
these experimental deviations. Clearly if one takes these deviations seriously
then some new particles in the 300 GeV to few TeV with associated new CP-odd
phase(s) are needed.
|
hep-ph
|
the bfactories results provide an impressive confirmation of the standard model sm description of flavor and cp violation nevertheless as more data were accumulated deviations in the 2535 sigma range have emerged pointing to the exciting possibility of new cpodd phases and flavor violating parameters in bdecays primarily this seems to be the case in the time dependent cp asymmetries in penguin dominated modes eg b phi eta ks we discuss these and other deviations from the sm and as an illustration of possible new physics scenarios we examine the role of the top two higgs doublet model this is a simple extension of the sm obtained by adding second higgs doublet in which the yukawa interactions of the two higgs doublets are assigned in order to naturally account for the large topquark mass of course many other extensions of the standard model could also account for these experimental deviations clearly if one takes these deviations seriously then some new particles in the 300 gev to few tev with associated new cpodd phases are needed
|
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|
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|
707.0213
|
Unit distances and diameters in Euclidean spaces
|
We show that the maximum number of unit distances or of diameters in a set of
n points in d-dimensional Euclidean space is attained only by specific types of
Lenz constructions, for all d >= 4 and n sufficiently large, depending on d. As
a corollary we determine the exact maximum number of unit distances for all
even d >= 6, and the exact maximum number of diameters for all d >= 4, for all
$n$ sufficiently large, depending on d.
|
math.MG math.CO
|
we show that the maximum number of unit distances or of diameters in a set of n points in ddimensional euclidean space is attained only by specific types of lenz constructions for all d 4 and n sufficiently large depending on d as a corollary we determine the exact maximum number of unit distances for all even d 6 and the exact maximum number of diameters for all d 4 for all n sufficiently large depending on d
|
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|
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|
707.0214
|
Quantitative structural and textural assessment of laminar pyrocarbons
through Raman spectroscopy, electron diffraction and few other techniques
|
In pyrocarbon materials, the width of the Raman D band (FWHMD) is very
sensitive to low energy structural defects (e.g., disorientations of the
graphene layers). The correlation between the two parameters, FWHMD and OA (as
derived from selected area electron diffraction: SAED), has allowed to
differentiate various pyrocarbons unambiguously. Furthermore, the optical
properties of pyrocarbons, i.e., the extinction angle, the optical phase shift
and the ordinary and extraordinary reflectance, have been accurately determined
at 550 nm by means of the extinction curves method. These results are completed
by in-plane and out-of-plane dielectric constant measurements by angular
resolved EELS. Moreover, the hybridization degree of the carbon atoms has been
assessed by the same technique. About 80% of the carbon atoms of the
pyrocarbons have a sp2 hybridization. The lack of pure sp2 carbon atoms, as
compared to graphite, might be explained by the presence of sp3-like line
defects.
|
physics.geo-ph
|
in pyrocarbon materials the width of the raman d band fwhmd is very sensitive to low energy structural defects eg disorientations of the graphene layers the correlation between the two parameters fwhmd and oa as derived from selected area electron diffraction saed has allowed to differentiate various pyrocarbons unambiguously furthermore the optical properties of pyrocarbons ie the extinction angle the optical phase shift and the ordinary and extraordinary reflectance have been accurately determined at 550 nm by means of the extinction curves method these results are completed by inplane and outofplane dielectric constant measurements by angular resolved eels moreover the hybridization degree of the carbon atoms has been assessed by the same technique about 80 of the carbon atoms of the pyrocarbons have a sp2 hybridization the lack of pure sp2 carbon atoms as compared to graphite might be explained by the presence of sp3like line defects
|
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|
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|
707.0215
|
Riemann-Christoffel flows
|
A geometric flow based in the Riemann-Christoffel curvature tensor that in
two dimensions has some common features with the usual Ricci flow is presented.
For $n$ dimensional spaces this new flow takes into account all the components
of the intrinsic curvature. For four dimensional Lorentzian manifolds it is
found that the solutions of the Einstein equations associated to a "detonant"
sphere of matter, as well, as a Friedman-Roberson-Walker cosmological model are
examples of Riemann-Christoffel flows. Possible generalizations are mentioned.
|
gr-qc astro-ph math.DG
|
a geometric flow based in the riemannchristoffel curvature tensor that in two dimensions has some common features with the usual ricci flow is presented for n dimensional spaces this new flow takes into account all the components of the intrinsic curvature for four dimensional lorentzian manifolds it is found that the solutions of the einstein equations associated to a detonant sphere of matter as well as a friedmanrobersonwalker cosmological model are examples of riemannchristoffel flows possible generalizations are mentioned
|
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|
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|
707.0216
|
Strong terahertz emission from superlattices via Zener tunneling
|
We develop a comprehensive, elegant theory to explain terahertz (THz)
emission from a superlattice over a wide range of applied electric field,which
shows excellent agreement between theory andexperiment for a
GaAs/Al{0.3}Ga{0.7As superlattice. Specifically we show that increasing
electric field increases THz emission for low fields, then reduces emission for
medium fields due to field-induced wave function localization, and then
increases emission in the high field due to delocalization and Zener tunneling
between minibands. Our theory shows that Zener tunneling resonances yield high
THz emission intensities and points to superlattice design improvements.
|
cond-mat.mes-hall cond-mat.mtrl-sci
|
we develop a comprehensive elegant theory to explain terahertz thz emission from a superlattice over a wide range of applied electric fieldwhich shows excellent agreement between theory andexperiment for a gaasal03ga07as superlattice specifically we show that increasing electric field increases thz emission for low fields then reduces emission for medium fields due to fieldinduced wave function localization and then increases emission in the high field due to delocalization and zener tunneling between minibands our theory shows that zener tunneling resonances yield high thz emission intensities and points to superlattice design improvements
|
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|
[-0.13111038132208502, 0.1452390738038553, -0.028551020654332307, 0.06882248274568055, -0.052853709637808305, -0.13846808513626457, 0.08292512517137866, 0.46929621785465214, -0.23592996630403731, -0.3109964082017541, -0.08488108299077592, -0.2808306084221436, -0.16775857954182558, 0.23271723773537412, -0.0034333235687679714, -0.02073503943781058, -0.0061111137115707, -0.1311219276032514, -0.04047687544176976, -0.12442214343075951, 0.21215646195018456, 0.05616391990333795, 0.35442276015463803, 0.16566343799543878, 0.07783557853868438, 0.033166975548697845, 0.10204316201723285, 0.010355991311371326, -0.09636823319807364, 0.06545581687241793, 0.29004660848942065, -0.039114708753509655, 0.2048542104713205, -0.41580846315870684, -0.2649877262715664, -0.006599938538339403, 0.1861665681314965, 0.14639280641761918, -0.10175065692617662, -0.26704454386813775, 0.06893974417406652, -0.14079812258068058, -0.11374448378984299, -0.05328577592348059, 0.045064908447158006, 0.03293461166322231, -0.32752944278634255, 0.075285763034804, -0.04164383345050737, 0.11847232652621137, -0.1218177600000571, -0.04211634575492806, -0.006077985369807316, 0.010543584264814854, 0.0574343422634734, 0.10462390982623522, 0.16711718042756224, -0.1088489896307389, -0.14766860062178847, 0.3271481898923715, -0.12492399884956992, -0.02900001361914393, 0.1689686957695004, -0.23914825096726416, -0.016070712293731047, 0.27394181955605745, 0.13595997183066275, 0.0665351048939758, -0.06433693254366517, 0.06597140107607831, 0.05204068207094679, 0.21162159038293693, 0.11275226858496253, 0.10512723427244863, 0.275299639808428, 0.13859473516543705, 0.0479944397488402, 0.14497184695080959, -0.13377369422879484, -0.043004042230960396, -0.24454548640383614, -0.12542392494570878, -0.17699876704460216, 0.09809847672828861, -0.07185273370139637, -0.19212973057809804, 0.42188997362843816, 0.2183051379190551, 0.13605938020627945, 0.022998263200538025, 0.26679959771637285, 0.18901024993327964, 0.049452349052040115, 0.004295168165117502, 0.28755251000531845, 0.2453178206898479, 0.14476605387171732, -0.2625230446225032, -0.0688350726177709, -0.08356915206337968]
|
707.0217
|
Regular-to-chaotic tunneling rates using a fictitious integrable system
|
We derive a formula predicting dynamical tunneling rates from regular states
to the chaotic sea in systems with a mixed phase space. Our approach is based
on the introduction of a fictitious integrable system that resembles the
regular dynamics within the island. For the standard map and other kicked
systems we find agreement with numerical results for all regular states in a
regime where resonance-assisted tunneling is not relevant.
|
nlin.CD quant-ph
|
we derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space our approach is based on the introduction of a fictitious integrable system that resembles the regular dynamics within the island for the standard map and other kicked systems we find agreement with numerical results for all regular states in a regime where resonanceassisted tunneling is not relevant
|
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|
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|
707.0218
|
Exponentially Stable Nonlinear Systems have Polynomial Lyapunov
Functions on Bounded Regions
|
This paper presents a proof that existence of a polynomial Lyapunov function
is necessary and sufficient for exponential stability of sufficiently smooth
nonlinear ordinary differential equations on bounded sets. The main result
states that if there exists an n-times continuously differentiable Lyapunov
function which proves exponential stability on a bounded subset of R^n, then
there exists a polynomial Lyapunov function which proves exponential stability
on the same region. Such a continuous Lyapunov function will exist if, for
example, the right-hand side of the differential equation is polynomial or at
least n-times continuously differentiable. The proof is based on a
generalization of the Weierstrass approximation theorem to differentiable
functions in several variables. Specifically, we show how to use polynomials to
approximate a differentiable function in the Sobolev norm W^{1,\infty} to any
desired accuracy. We combine this approximation result with the second-order
Taylor series expansion to find that polynomial Lyapunov functions can
approximate continuous Lyapunov functions arbitrarily well on bounded sets. Our
investigation is motivated by the use of polynomial optimization algorithms to
construct polynomial Lyapunov functions.
|
math.CA math.OC
|
this paper presents a proof that existence of a polynomial lyapunov function is necessary and sufficient for exponential stability of sufficiently smooth nonlinear ordinary differential equations on bounded sets the main result states that if there exists an ntimes continuously differentiable lyapunov function which proves exponential stability on a bounded subset of rn then there exists a polynomial lyapunov function which proves exponential stability on the same region such a continuous lyapunov function will exist if for example the righthand side of the differential equation is polynomial or at least ntimes continuously differentiable the proof is based on a generalization of the weierstrass approximation theorem to differentiable functions in several variables specifically we show how to use polynomials to approximate a differentiable function in the sobolev norm w1infty to any desired accuracy we combine this approximation result with the secondorder taylor series expansion to find that polynomial lyapunov functions can approximate continuous lyapunov functions arbitrarily well on bounded sets our investigation is motivated by the use of polynomial optimization algorithms to construct polynomial lyapunov functions
|
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|
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|
707.0219
|
A new magnetic field dependence of Landau levels on a graphene like
structure
|
We consider a tight-binding model on the honeycomb lattice in a magnetic
field. For special values of the hopping integrals, the dispersion relation is
linear in one direction and quadratic in the other. We find that, in this case,
the energy of the Landau levels varies with the field B as E_n(B) ~
[(n+\gamma)B]^{2/3}. This result is obtained from the low-field study of the
tight-binding spectrum on the honeycomb lattice in a magnetic field (Hofstadter
spectrum) as well as from a calculation in the continuum approximation at low
field. The latter links the new spectrum to the one of a modified quartic
oscillator. The obtained value $\gamma=1/2$ is found to result from the
cancellation of a Berry phase.
|
cond-mat.mes-hall
|
we consider a tightbinding model on the honeycomb lattice in a magnetic field for special values of the hopping integrals the dispersion relation is linear in one direction and quadratic in the other we find that in this case the energy of the landau levels varies with the field b as e_nb ngammab23 this result is obtained from the lowfield study of the tightbinding spectrum on the honeycomb lattice in a magnetic field hofstadter spectrum as well as from a calculation in the continuum approximation at low field the latter links the new spectrum to the one of a modified quartic oscillator the obtained value gamma12 is found to result from the cancellation of a berry phase
|
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|
[-0.1794959068622278, 0.12334008974873502, -0.04250663895483898, 0.05600242724986342, -0.04074939482278474, -0.10764144126973722, 0.05506540141675783, 0.3392873632195203, -0.26986874738789124, -0.274117510749594, 0.04138865245141737, -0.26576440789655825, -0.15724976779488117, 0.18413951533603604, 0.023883762323985928, -0.020332199048488805, -0.0021479375174512034, 0.06395299825007501, -0.0628211457019105, -0.19399877597334916, 0.3146832423608588, 0.048309443397042545, 0.2637681581889806, 0.050983402238267916, 0.02384608561254066, 0.04290256044503463, 0.07245275637377864, 0.02079667630402938, -0.14226544829643503, 0.07454497400347306, 0.1681451612840528, -0.058743339582629825, 0.19368465729057788, -0.3734868630685884, -0.21833404863010283, 0.023720556659542997, 0.1085213466749891, 0.15539887268906055, -0.01877276057013027, -0.23982961960744276, 0.010005157630202238, -0.15515605726522272, -0.14611787953940422, -0.019927192370042854, -0.028322064048995305, 0.0036028201064175884, -0.2758297636538096, 0.0935010922951219, 0.023147699778454135, 0.08332934118807316, -0.09900634647144571, -0.13047120394995032, -0.04985211925054698, 0.08038835606497267, 0.08245147649077293, 0.07527303421748398, 0.0660812946886796, -0.15949153539360217, -0.11027412829191788, 0.43849989901418274, -0.1385933834735466, -0.1650298273757748, 0.11531444114187489, -0.198891034949085, -0.11895127738421055, 0.1347249602544648, 0.12428681421417581, 0.07519186927896479, -0.1158882949501276, 0.14538309106213526, -0.06946424037704, 0.12423469603223646, 0.019990337688637817, 0.008250541482930598, 0.19842838568046042, 0.11604474579672451, 0.06868796330755171, 0.17337780777091646, -0.11823775966287307, -0.10508833641145865, -0.30118270108233325, -0.14174140808374985, -0.26078722138443716, 0.06912738801000397, -0.08887044568735925, -0.2137081970339236, 0.4620539841120658, 0.11791458260267973, 0.2278263520327923, 0.02309317065645819, 0.2693928865958815, 0.20280374538497595, 0.07625321158582507, 0.03602469287731725, 0.2750542547472793, 0.1670882236212492, 0.11336179494246608, -0.24814767027476237, -0.06878105964430649, 0.07164602409643324]
|
707.022
|
Magnetization and susceptibility of ferrofluids
|
A second-order Taylor series expansion of the free energy functional provides
analytical expressions for the magnetic field dependence of the free energy and
of the magnetization of ferrofluids, here modelled by dipolar Yukawa
interaction potentials. The corresponding hard core dipolar Yukawa reference
fluid is studied within the framework of the mean spherical approximation. Our
findings for the magnetic and phase equilibrium properties are in quantitative
agreement with previously published and new Monte Carlo simulation data.
|
cond-mat.soft cond-mat.stat-mech
|
a secondorder taylor series expansion of the free energy functional provides analytical expressions for the magnetic field dependence of the free energy and of the magnetization of ferrofluids here modelled by dipolar yukawa interaction potentials the corresponding hard core dipolar yukawa reference fluid is studied within the framework of the mean spherical approximation our findings for the magnetic and phase equilibrium properties are in quantitative agreement with previously published and new monte carlo simulation data
|
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|
[-0.1303303977350394, 0.13191458524980892, -0.09736483653386434, 0.09334401811938733, -0.03674479908620318, -0.06973718502248327, 0.005200273916125297, 0.3703237537542979, -0.22750691149383784, -0.35991391286253926, -0.007411396672638754, -0.26301266012092434, -0.07907737631661196, 0.1832934097511073, 0.10848497882718221, 0.07679220233733455, 0.026156264779468377, 0.02160876820795238, -0.08170956926730771, -0.17721358389904102, 0.2594791280229886, 0.09059082329273224, 0.2655973530871173, 0.07293332628129671, 0.04789634845685214, 0.01882843311255177, 0.006057465951889753, 0.043000026860584815, -0.2268000098069509, 0.10602217176308235, 0.1694066384069932, -0.038146060233314835, 0.2087409539769093, -0.46804963173965614, -0.21287401322896282, 0.018285344640413922, 0.12687306988596295, 0.10949287503957748, -0.07958845604211091, -0.2534524941816926, 0.0029905265010893344, -0.1841294531400005, -0.17702484969515353, -0.134148668423295, -0.0287061757951354, 0.10070095114487533, -0.3086222408836087, 0.16625853419924777, 0.005373390720536312, 0.1067840674892068, -0.13076157957315446, -0.12574946018556754, -0.011451184572651983, 0.08030037556464474, 0.05748488027136773, 0.03163843548546235, 0.13008249290287494, -0.13386021487414837, -0.0845079588641723, 0.36686229102313517, -0.09002872599909703, -0.1769774203002453, 0.15946063329776128, -0.16350684735303123, -0.08191065199362735, 0.18080749014392494, 0.11192081386844317, 0.09995217647403479, -0.19679193747540316, 0.13840870981182282, -0.014230299467841784, 0.12947324505696695, 0.014846705356612802, -0.0495086809504816, 0.20256605548163256, 0.15891701243817807, -0.04880960846319795, 0.14365468637396892, -0.09136404733173549, -0.20708296942214172, -0.32500739380717275, -0.1189183122292161, -0.22110473492493232, 0.002258562905093034, -0.1476498706136287, -0.2152300483112534, 0.3687571835021178, 0.12493325552592675, 0.10029455214738846, 0.04542780072738727, 0.3140476672599713, 0.1116349228300775, 0.007716503757983446, 0.04139400131379565, 0.28795119777321815, 0.21077798575473328, 0.12389904192338387, -0.25325869577626386, 0.029845747101741534, 0.07418895206724604]
|
707.0221
|
Convex and star-shaped sets associated with stable distributions
|
It is known that each symmetric stable distribution in $R^d$ is related to a
norm on $R^d$ that makes $R^d$ embeddable in $L_p([0,1])$. In case of a
multivariate Cauchy distribution the unit ball in this norm corresponds is the
polar set to a convex set in $R^d$ called a zonoid. This work interprets
general stable laws using convex or star-shaped sets and exploits recent
advances in convex geometry in order to come up with new probabilistic results
for multivariate stable distributions. In particular, it provides expressions
for moments of the Euclidean norm of a stable vector, mixed moments and various
integrals of the density function. It is shown how to use geometric
inequalities in order to bound important parameters of stable laws. It is shown
that each symmetric stable laws appears as the limit for the sum of
sub-Gaussian laws and an estimate for the probability distance to a
sub-Gaussian law is given. Operations with convex sets induce the well-known
and new operations with stable vectors. Furthermore, covariation, regression
and orthogonality concepts for stable laws acquire geometric interpretations. A
similar collection of results is presented for one-sided stable laws.
|
math.PR
|
it is known that each symmetric stable distribution in rd is related to a norm on rd that makes rd embeddable in l_p01 in case of a multivariate cauchy distribution the unit ball in this norm corresponds is the polar set to a convex set in rd called a zonoid this work interprets general stable laws using convex or starshaped sets and exploits recent advances in convex geometry in order to come up with new probabilistic results for multivariate stable distributions in particular it provides expressions for moments of the euclidean norm of a stable vector mixed moments and various integrals of the density function it is shown how to use geometric inequalities in order to bound important parameters of stable laws it is shown that each symmetric stable laws appears as the limit for the sum of subgaussian laws and an estimate for the probability distance to a subgaussian law is given operations with convex sets induce the wellknown and new operations with stable vectors furthermore covariation regression and orthogonality concepts for stable laws acquire geometric interpretations a similar collection of results is presented for onesided stable laws
|
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|
[-0.09364025656838541, 0.11447659331300264, -0.10844808075716843, 0.08941932571694629, -0.05754538884672223, -0.13863728761151878, 0.009813396297099571, 0.33942170685561246, -0.3139855404404145, -0.1790350711948815, 0.11663122714075837, -0.2694582803440945, -0.1522398695756839, 0.18862021493567793, -0.13928777273872464, 0.1124868709692564, 0.010766641648299007, 0.06045116771199795, -0.09337490577024048, -0.2449832899476249, 0.3262455275266249, -0.004074526137657582, 0.27586177042463705, -2.9704529821636185e-05, 0.12472998414917913, 0.002349288192966943, -0.016651550874547668, 0.03609422056457747, -0.14744632423262663, 0.1716859750400381, 0.2499046494368779, 0.1502616783559677, 0.25632073181538434, -0.3725839010932576, -0.15699662217407157, 0.15402097857948985, 0.08100748277471337, 0.020497595048731283, -0.050793961523884226, -0.23486975104382962, 0.09665566358084558, -0.11454432200647831, -0.1815936381376728, -0.11706791805430185, 0.08503666223721608, 0.048227301492015755, -0.3663482729181716, 0.06114363146049005, 0.12111328020396214, 0.008203115970236324, -0.08461182288426373, -0.12301663075211561, 0.017799243968467982, 0.07081352387278995, 0.03282085924517738, 0.06118894700286171, 0.0757353156878953, -0.045706318652567766, -0.11970705134922234, 0.36934431677772883, -0.029671782259977172, -0.27670581578203135, 0.16679331467600253, -0.18459900601141194, -0.1495933364571698, 0.11608432945130127, 0.18367975595451536, 0.1266539286320155, -0.13169507688236615, 0.12733739387661602, -0.07883963296892092, 0.11935054838273024, 0.08388430182698858, 0.029168893239724512, 0.163616669009484, 0.12483276916475641, 0.17375668348182763, 0.15343347031169782, -0.03914779890698218, -0.15722771004463235, -0.3481824133445376, -0.15542870659963845, -0.20262818934799975, 0.03416390309629841, -0.11168386889386013, -0.19705131950648994, 0.33965398746212483, 0.04580103836722041, 0.18776328391370872, 0.10023364742784194, 0.2577581948467663, 0.12997017446095394, 0.05124877327708183, 0.0880272972669142, 0.16712831985728974, 0.18338516805092767, 0.04939140360457478, -0.12726025091528537, 0.0855387004182265, 0.08871847160638521]
|
707.0222
|
Cross sections for hard exclusive electroproduction of pi+ mesons on a
hydrogen target
|
The exclusive electroproduction of pi+ mesons was studied with the Hermes
spectrometer at the DESY laboratory by scattering 27.6 GeV positron and
electron beams off an internal hydrogen gas target. The virtual-photon cross
sections were measured as a function of the Mandelstam variable t and the
squared four momentum -Q^2 of the exchanged virtual photon. A model calculation
based on Generalized Parton Distributions is in fair agreement with the data at
low values of |t| if power corrections are included. A model calculation based
on the Regge formalism gives a good description of the magnitude and the t and
Q^2 dependences of the cross section.
|
hep-ex
|
the exclusive electroproduction of pi mesons was studied with the hermes spectrometer at the desy laboratory by scattering 276 gev positron and electron beams off an internal hydrogen gas target the virtualphoton cross sections were measured as a function of the mandelstam variable t and the squared four momentum q2 of the exchanged virtual photon a model calculation based on generalized parton distributions is in fair agreement with the data at low values of t if power corrections are included a model calculation based on the regge formalism gives a good description of the magnitude and the t and q2 dependences of the cross section
|
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|
[-0.07072354040851461, 0.2175636255904378, -0.14132469347899868, 0.12451243621984585, 0.004193196736187453, -0.10043632204511337, 0.03797385210082645, 0.3559401698853998, -0.1552307505914498, -0.27771169469203977, -0.09564107279625854, -0.3809937383536072, 0.06739425016123624, 0.18174692178145052, 0.09141490734847528, 0.1220485035841453, 0.06320899876632861, 0.028007215208240916, -0.04936121295738433, -0.19915256983201418, 0.29454073923240814, 0.13227722862003638, 0.26673499054851985, 0.16085930178385405, 0.1467685660580173, 0.12185038703249856, -0.0716900630587978, -0.06486094923956054, -0.1250896336289034, 0.06196425925230696, 0.2568658303957255, 0.024920764787211305, 0.11637660150992729, -0.3603666366676667, -0.0902133229055575, 0.049785005922118826, 0.09913287540188148, 0.018572507772062506, -0.0066089072419951355, -0.21987504231787863, 0.03774233162403107, -0.22289416561169284, -0.1457901744038931, -0.061781563818277346, 0.02785371284865375, 0.02051175171509385, -0.2953646329142863, 0.049265037565713835, -0.06995972960832574, 0.06073571675057922, -0.07623016934930568, -0.23032052908314482, -0.053654860150778576, 0.0231022707230988, 0.06329465309335362, 0.12082573913836053, 0.17027196282786983, -0.1350972530919881, -0.12916350208577657, 0.3687940470785612, -0.03886200970127469, -0.16863828954242524, 0.05847104521734374, -0.26978000377171807, -0.06775781319565362, 0.18405384637770197, 0.19472124376555994, 0.11530262848717115, -0.17618360812997536, 0.12155734575603024, -0.04680012127029754, 0.15995784059521698, 0.12731841527191656, 0.026669804210195297, 0.13946235534690676, 0.168066493837562, -0.08936249498455297, 0.053452500757495205, -0.16017494807463317, -0.07846052576122539, -0.4233914304968147, -0.09495506190581918, -0.10018971892339842, 0.05071194090525664, -0.06311058485381571, -0.06497323389741637, 0.317618292064539, 0.01332079468161932, 0.31451359643778276, 0.011103804972732351, 0.38063328808971814, 0.15184771787441734, 0.08162845147418835, 0.06201558874121734, 0.2525026024807067, 0.20648518957508108, 0.17196274748781606, -0.2513771938293108, 0.0539781023748219, 0.03528118913194963]
|
707.0223
|
Gravitational lensing in braneworld gravity: formalism and applications
|
In this article, we develop a formalism which is different from the standard
lensing scenario and is necessary for understanding lensing by gravitational
fields which arise as solutions of the effective Einstein equations on the
brane. We obtain general expressions for measurable quantities such as time
delay, deflection angle, Einstein ring and magnification. Subsequently, we
estimate the deviations (relative to the standard lensing scenario) in the
abovementioned quantities by considering the line elements for clusters and
spiral galaxies obtained by solving the effective Einstein equations on the
brane. Our analysis reveals that gravitational lensing can be a useful tool for
testing braneworld gravity as well as the existence of extra dimensions.
|
gr-qc astro-ph hep-th
|
in this article we develop a formalism which is different from the standard lensing scenario and is necessary for understanding lensing by gravitational fields which arise as solutions of the effective einstein equations on the brane we obtain general expressions for measurable quantities such as time delay deflection angle einstein ring and magnification subsequently we estimate the deviations relative to the standard lensing scenario in the abovementioned quantities by considering the line elements for clusters and spiral galaxies obtained by solving the effective einstein equations on the brane our analysis reveals that gravitational lensing can be a useful tool for testing braneworld gravity as well as the existence of extra dimensions
|
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|
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|
707.0224
|
Uniform Star-factors of Graphs with Girth Three
|
A {\it star-factor} of a graph $G$ is a spanning subgraph of $G$ such that
each component of which is a star. Recently, Hartnell and Rall studied a family
$\mathscr{U}$ of graphs satisfying the property that every star-factor of a
member graph has the same number of edges. They determined the family
$\mathscr{U}$ when the girth is at least five. In this paper, we investigate
the family of graphs with girth three and determine all members of this family.
|
math.CO
|
a it starfactor of a graph g is a spanning subgraph of g such that each component of which is a star recently hartnell and rall studied a family mathscru of graphs satisfying the property that every starfactor of a member graph has the same number of edges they determined the family mathscru when the girth is at least five in this paper we investigate the family of graphs with girth three and determine all members of this family
|
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|
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|
707.0225
|
Elucidation of microstructure of single-phase microcrystalline silicon
based on crystallite size distributions
|
Highly crystallized undoped hydrogenated microcrystalline silicon films
prepared using SiF4-H2 mixture plasma were investigated at various stages of
growth employing different microstructural probes. Our self-consistent results
elucidate various aspects of the evolution of film microstructure,
compositional changes and variations in crystallite size distributions with
film growth. Inclusion of a bimodal crystallite size distribution in
microstructural data analysis leads to results that are corroborative with
those obtained from other microstructural tools, and yields a more physically
accurate and coherent description of microcrystalline silicon film
microstructure.
|
cond-mat.mtrl-sci
|
highly crystallized undoped hydrogenated microcrystalline silicon films prepared using sif4h2 mixture plasma were investigated at various stages of growth employing different microstructural probes our selfconsistent results elucidate various aspects of the evolution of film microstructure compositional changes and variations in crystallite size distributions with film growth inclusion of a bimodal crystallite size distribution in microstructural data analysis leads to results that are corroborative with those obtained from other microstructural tools and yields a more physically accurate and coherent description of microcrystalline silicon film microstructure
|
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|
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|
707.0226
|
Star-uniform Graphs
|
A {\it star-factor} of a graph $G$ is a spanning subgraph of $G$ such that
each of its component is a star. Clearly, every graph without isolated vertices
has a star factor. A graph $G$ is called {\it star-uniform} if all star-factors
of $G$ have the same number of components. To characterize star-uniform graphs
was an open problem posed by Hartnell and Rall, which is motivated by the
minimum cost spanning tree and the optimal assignment problems. We use the
concepts of factor-criticality and domination number to characterize all
star-uniform graphs with the minimum degree at least two. Our proof is heavily
relied on Gallai-Edmonds Matching Structure Theorem.
|
math.CO
|
a it starfactor of a graph g is a spanning subgraph of g such that each of its component is a star clearly every graph without isolated vertices has a star factor a graph g is called it staruniform if all starfactors of g have the same number of components to characterize staruniform graphs was an open problem posed by hartnell and rall which is motivated by the minimum cost spanning tree and the optimal assignment problems we use the concepts of factorcriticality and domination number to characterize all staruniform graphs with the minimum degree at least two our proof is heavily relied on gallaiedmonds matching structure theorem
|
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|
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|
707.0227
|
Uniformly Weighted Star-Factors of Graphs
|
A {\it star-factor} of a graph $G$ is a spanning subgraph of $G$ such that
each component of which is a star. An {\it edge-weighting} of $G$ is a function
$w: E(G)\longrightarrow \mathbb{N}^+$, where $\mathbb{N}^+$ is the set of
positive integers. Let $\Omega$ be the family of all graphs $G$ such that every
star-factor of $G$ has the same weights under a fixed edge-weighting $w$. In
this paper, we present a simple structural characterization of the graphs in
$\Omega$ that have girth at least five.
|
math.CO
|
a it starfactor of a graph g is a spanning subgraph of g such that each component of which is a star an it edgeweighting of g is a function w eglongrightarrow mathbbn where mathbbn is the set of positive integers let omega be the family of all graphs g such that every starfactor of g has the same weights under a fixed edgeweighting w in this paper we present a simple structural characterization of the graphs in omega that have girth at least five
|
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|
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|
707.0228
|
Structural Determination of Nanocrystalline Si Films Using Ellipsometry
and Raman Spectroscopy
|
Single phase nano and micro crystalline silicon films deposited using SiF4/H2
plasma at different H2 dilution levels were studied at initial and terminal
stages of film growth with spectroscopic ellipsometry (SE), Raman scattering
(RS) and atomic force microscopy (AFM). The analysis of data obtained from SE
elucidates the microstructural evolution with film growth in terms of the
changes in crystallite sizes and their volume fractions, crystallite
conglomeration and film morphology. The effect of H2 dilution on film
microstructure and morphology, and the corroborative findings from AFM studies
are discussed. Our SE results evince two distinct mean sizes of crystallites in
the material after a certain stage of film growth. The analysis of Raman
scattering data for such films has been done using a bimodal size distribution
of crystallite grains, which yields more accurate and physically rational
microstructural picture of the material.
|
cond-mat.mtrl-sci
|
single phase nano and micro crystalline silicon films deposited using sif4h2 plasma at different h2 dilution levels were studied at initial and terminal stages of film growth with spectroscopic ellipsometry se raman scattering rs and atomic force microscopy afm the analysis of data obtained from se elucidates the microstructural evolution with film growth in terms of the changes in crystallite sizes and their volume fractions crystallite conglomeration and film morphology the effect of h2 dilution on film microstructure and morphology and the corroborative findings from afm studies are discussed our se results evince two distinct mean sizes of crystallites in the material after a certain stage of film growth the analysis of raman scattering data for such films has been done using a bimodal size distribution of crystallite grains which yields more accurate and physically rational microstructural picture of the material
|
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|
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|
707.0229
|
Publication history of von Staudt's Geometrie der Lage
|
From a census of forty copies, we can distinguish three different editions of
von Staudt's Geometrie der Lage: the first of 1847 and two undated ones from
the 1870's.
|
math.HO
|
from a census of forty copies we can distinguish three different editions of von staudts geometrie der lage the first of 1847 and two undated ones from the 1870s
|
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|
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|
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