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707.133
|
Proving the triviality of rational points on Atkin-Lehner quotients of
Shimura curves
|
In this paper we give a method for studying global rational points on certain
quotients of Shimura curves by Atkin-Lehner involutions. We obtain explicit
conditions on such quotients for rational points to be ``trivial'' (coming from
CM points only) and exhibit an explicit infinite family of such quotients
satisfying these conditions.
|
math.NT
|
in this paper we give a method for studying global rational points on certain quotients of shimura curves by atkinlehner involutions we obtain explicit conditions on such quotients for rational points to be trivial coming from cm points only and exhibit an explicit infinite family of such quotients satisfying these conditions
|
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|
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|
707.1331
|
Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg
Models
|
We investigate disordered one- and two-dimensional Heisenberg spin lattices
across a transition from integrability to quantum chaos from both a statistical
many-body and a quantum-information perspective. Special emphasis is devoted to
quantitatively exploring the interplay between eigenvector statistics,
delocalization, and entanglement in the presence of nontrivial symmetries. The
implications of basis dependence of state delocalization indicators (such as
the number of principal components) is addressed, and a measure of {\em
relative delocalization} is proposed in order to robustly characterize the
onset of chaos in the presence of disorder. Both standard multipartite and {\em
generalized entanglement} are investigated in a wide parameter regime by using
a family of spin- and fermion- purity measures, their dependence on
delocalization and on energy spectrum statistics being examined. A distinctive
{\em correlation between entanglement, delocalization, and integrability} is
uncovered, which may be generic to systems described by the two-body random
ensemble and may point to a new diagnostic tool for quantum chaos. Analytical
estimates for typical entanglement of random pure states restricted to a proper
subspace of the full Hilbert space are also established and compared with
random matrix theory predictions.
|
quant-ph cond-mat.other
|
we investigate disordered one and twodimensional heisenberg spin lattices across a transition from integrability to quantum chaos from both a statistical manybody and a quantuminformation perspective special emphasis is devoted to quantitatively exploring the interplay between eigenvector statistics delocalization and entanglement in the presence of nontrivial symmetries the implications of basis dependence of state delocalization indicators such as the number of principal components is addressed and a measure of em relative delocalization is proposed in order to robustly characterize the onset of chaos in the presence of disorder both standard multipartite and em generalized entanglement are investigated in a wide parameter regime by using a family of spin and fermion purity measures their dependence on delocalization and on energy spectrum statistics being examined a distinctive em correlation between entanglement delocalization and integrability is uncovered which may be generic to systems described by the twobody random ensemble and may point to a new diagnostic tool for quantum chaos analytical estimates for typical entanglement of random pure states restricted to a proper subspace of the full hilbert space are also established and compared with random matrix theory predictions
|
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|
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|
707.1332
|
Suppression of Higgsino mediated proton decay by cancellations in GUTs
and strings
|
A mechanism for the enhancement for proton lifetime in
supersymmetric/supergravity (SUSY/SUGRA) grand unified theories (GUTs) and in
string theory models is discussed where Higgsino mediated proton decay arising
from color triplets (anti-triplets) with charges $Q=-1/3(1/3)$ and
$Q=-4/3(4/3)$ is suppressed by an internal cancellation due to contributions
from different sources. We exhibit the mechanism for an SU(5) model with
$45_H+\bar{45}_H$ Higgs multiplets in addition to the usual Higgs structure of
the minimal model. This model contains both $Q=-1/3(1/3)$ and $Q=-4/3(4/3)$
Higgs color triplets (anti-triplets) and simple constraints allow for a
complete suppression of Higgsino mediated proton decay. Suppression of proton
decay in an SU(5) model with Planck scale contributions is also considered. The
suppression mechanism is then exhibited for an SO(10) model with a unified
Higgs structure involving $144_H+\bar{144}_H$ representations.The SU(5)
decomposition of $144_H+\bar{144}_H$ contains $5_H+\bar 5_H$ and
$45_H+\bar{45}_H$ and the cancellation mechanism arises among these
contributions which mirrror the SU(5) case. The cancellation mechanism appears
to be more generally valid for a larger class of unification models.
Specifically the cancellation mechanism may play a role in string model
constructions to suppress proton decay from dimension five operators. The
mechanism allows for the suppression of proton decay consistent with current
data allowing for the possibility that proton decay may be visible in the next
round of nucleon stability experiment.
|
hep-ph
|
a mechanism for the enhancement for proton lifetime in supersymmetricsupergravity susysugra grand unified theories guts and in string theory models is discussed where higgsino mediated proton decay arising from color triplets antitriplets with charges q1313 and q4343 is suppressed by an internal cancellation due to contributions from different sources we exhibit the mechanism for an su5 model with 45_hbar45_h higgs multiplets in addition to the usual higgs structure of the minimal model this model contains both q1313 and q4343 higgs color triplets antitriplets and simple constraints allow for a complete suppression of higgsino mediated proton decay suppression of proton decay in an su5 model with planck scale contributions is also considered the suppression mechanism is then exhibited for an so10 model with a unified higgs structure involving 144_hbar144_h representationsthe su5 decomposition of 144_hbar144_h contains 5_hbar 5_h and 45_hbar45_h and the cancellation mechanism arises among these contributions which mirrror the su5 case the cancellation mechanism appears to be more generally valid for a larger class of unification models specifically the cancellation mechanism may play a role in string model constructions to suppress proton decay from dimension five operators the mechanism allows for the suppression of proton decay consistent with current data allowing for the possibility that proton decay may be visible in the next round of nucleon stability experiment
|
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|
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|
707.1333
|
Disproof of Bell's Theorem: Further Consolidations
|
The failure of Bell's theorem for Clifford algebra valued local variables is
further consolidated by proving that the conditions of remote parameter
independence and remote outcome independence are duly respected within the
recently constructed exact, local realistic model for the EPR-Bohm
correlations. Since the conjunction of these two conditions is equivalent to
the locality condition of Bell, this provides an independent geometric proof of
the local causality of the model, at the level of microstates. In addition to
local causality, the model respects at least seven other conceptual and
operational requirements, arising either from the predictions of quantum
mechanics or the premises of Bell's theorem, including the Malus's law for
sequential spin measurements. Since the agreement between the predictions of
the model and those of quantum mechanics is quantitatively precise in all
respects, the ensemble interpretation of the entangled singlet state becomes
amenable.
|
quant-ph gr-qc
|
the failure of bells theorem for clifford algebra valued local variables is further consolidated by proving that the conditions of remote parameter independence and remote outcome independence are duly respected within the recently constructed exact local realistic model for the eprbohm correlations since the conjunction of these two conditions is equivalent to the locality condition of bell this provides an independent geometric proof of the local causality of the model at the level of microstates in addition to local causality the model respects at least seven other conceptual and operational requirements arising either from the predictions of quantum mechanics or the premises of bells theorem including the maluss law for sequential spin measurements since the agreement between the predictions of the model and those of quantum mechanics is quantitatively precise in all respects the ensemble interpretation of the entangled singlet state becomes amenable
|
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|
[-0.10122887853376723, 0.12227276090780433, -0.119579111278005, 0.10222674748156924, -0.032864622967122316, -0.1789390025009121, 0.04626454918733244, 0.27239802315622774, -0.2626295552270587, -0.3116162939980574, 0.0746501240719735, -0.24906327642526452, -0.07294893412447007, 0.16699756495817403, -0.06695351255504037, 0.0787889388018659, 0.05331673120943035, 0.0687323688591303, -0.0868695281996307, -0.23255555277406986, 0.3082190022390284, 0.06419008899760152, 0.3242302222008055, 0.0235006431861735, 0.1072537783220723, 0.07343870835131282, -0.029103743185946992, 0.02567735911669353, -0.08182837356434902, 0.12476532099853185, 0.22759632970563826, 0.16769073803462797, 0.243264993078206, -0.46144120927926124, -0.1728924287473327, 0.09635901957151148, 0.03658543840063723, 0.10400228263562793, 0.03004599296181769, -0.31851557044351436, 0.03337551958507279, -0.1429773280006293, -0.15770450318101925, -0.06605665012542809, -0.0012023655919136701, -0.05745448272063078, -0.2710258978536235, 0.15043365834215722, 0.10237698342123597, 0.07952128613361165, -0.043438616130579186, -0.06312832388036943, -0.026089581592542516, 0.10445983687878124, 0.014860617624550172, -0.020568720682750462, 0.1233491104330633, -0.12885864371583647, -0.16133044413258354, 0.36737567120576864, 0.03787042669808635, -0.1790135815068819, 0.18653751833859336, -0.12436911072647133, -0.1841986540385841, 0.038476209517672555, 0.04773517581797042, 0.062107680861480365, -0.16133393271389854, 0.10207544549057339, -0.08462097530311846, 0.1373273458696537, 0.048612870385062755, 0.11020807904256238, 0.2052931004054063, 0.081053220282693, 0.036435920738621605, 0.10736311867978046, -0.025352488916653853, -0.17669439975862633, -0.3890837467115998, -0.16400614655389406, -0.1847179034579109, 0.04820548990819525, -0.12587402186365032, -0.1293386085841388, 0.37755613260856874, 0.15150172233750875, 0.1273855071619049, 0.06224949262430566, 0.27762670834529235, 0.10991153191576444, 0.046187319346684054, 0.014808099550826775, 0.2865846100380527, 0.18123740337502497, 0.058090911578986194, -0.1878768717597395, 0.10562208143772779, 0.07416612086504196]
|
707.1334
|
Gravitational Wave Recoil and the Retention of Intermediate Mass Black
Holes
|
During the inspiral and merger of a binary black hole, gravitational
radiation is emitted anisotropically due to asymmetries in the merger
configuration. This anisotropic radiation leads to a gravitational wave kick,
or recoil velocity, as large as ~ 4000 km/sec. We investigate the effect
gravitational recoil has on the retention of intermediate mass black holes
(IMBH) within Galactic globular clusters. Assuming that our current
understanding of IMBH-formation is correct and yields an IMBH-seed in every
globular cluster, we find a significant problem retaining low mass IMBHs (1000
$\Msun$) in the typical merger-rich globular cluster environment. Given a
uniform black hole spin distribution and orientation and a Kroupa IMF, we find
that at most 3% of the globular clusters can retain an IMBH larger than 1000
$\Msun$ today. For a population of black holes that better approximates mass
loss from winds and supernovae, we find that 16% of globulars can retain an
IMBH larger than 1000 $\Msun$. Our calculations show that if there are black
holes of mass $M > 60 \Msun$ in a cluster, repeated IMBH-BH encounters will
eventually eject a 1000 $\Msun$ IMBH with greater than 30% probability. As a
consequence, a large population of rogue black holes may exist in our Milky Way
halo. We discuss the dynamical implications of this subpopulation, and its
possible connection to ultraluminous X-ray sources (ULXs).
|
astro-ph
|
during the inspiral and merger of a binary black hole gravitational radiation is emitted anisotropically due to asymmetries in the merger configuration this anisotropic radiation leads to a gravitational wave kick or recoil velocity as large as 4000 kmsec we investigate the effect gravitational recoil has on the retention of intermediate mass black holes imbh within galactic globular clusters assuming that our current understanding of imbhformation is correct and yields an imbhseed in every globular cluster we find a significant problem retaining low mass imbhs 1000 msun in the typical mergerrich globular cluster environment given a uniform black hole spin distribution and orientation and a kroupa imf we find that at most 3 of the globular clusters can retain an imbh larger than 1000 msun today for a population of black holes that better approximates mass loss from winds and supernovae we find that 16 of globulars can retain an imbh larger than 1000 msun our calculations show that if there are black holes of mass m 60 msun in a cluster repeated imbhbh encounters will eventually eject a 1000 msun imbh with greater than 30 probability as a consequence a large population of rogue black holes may exist in our milky way halo we discuss the dynamical implications of this subpopulation and its possible connection to ultraluminous xray sources ulxs
|
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|
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|
707.1335
|
Functoriality and special values of L-functions
|
This is a semi-expository article concerning Langlands functoriality and
Deligne's conjecture on the special values of $L$-functions. The emphasis is on
symmetric power $L$-functions associated to a holomorphic cusp form, while
appealing to a recent work of Mahnkopf on the special values of automorphic
$L$-functions.
|
math.NT math.RT
|
this is a semiexpository article concerning langlands functoriality and delignes conjecture on the special values of lfunctions the emphasis is on symmetric power lfunctions associated to a holomorphic cusp form while appealing to a recent work of mahnkopf on the special values of automorphic lfunctions
|
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|
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|
707.1336
|
Aluminium Nanowires: Influence of Work Hardening on Conductance
Histograms
|
Conductance histograms of work-hardened Al show a series up to 11 equidistant
peaks with a period of 1.15 +/- 0.02 of the quantum conductance unit G_0 =
2e^2/h. Assuming the peaks originate from atomic discreteness, this agrees with
the value of 1.16 G_0 per atom obtained in numerical calculations by Hasmy et
al.
|
cond-mat.mes-hall cond-mat.mtrl-sci
|
conductance histograms of workhardened al show a series up to 11 equidistant peaks with a period of 115 002 of the quantum conductance unit g_0 2e2h assuming the peaks originate from atomic discreteness this agrees with the value of 116 g_0 per atom obtained in numerical calculations by hasmy et al
|
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|
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|
707.1337
|
Root Systems and the Quantum Cohomology of ADE resolutions
|
We compute the C*-equivariant quantum cohomology ring of Y, the minimal
resolution of the DuVal singularity C^2/G where G is a finite subgroup of
SU(2). The quantum product is expressed in terms of an ADE root system
canonically associated to G. We generalize the resulting Frobenius manifold to
non-simply laced root systems to obtain an n parameter family of algebra
structures on the affine root lattice of any root system. Using the Crepant
Resolution Conjecture, we obtain a prediction for the orbifold Gromov-Witten
potential of [C^2/G].
|
math.AG hep-th math.QA
|
we compute the cequivariant quantum cohomology ring of y the minimal resolution of the duval singularity c2g where g is a finite subgroup of su2 the quantum product is expressed in terms of an ade root system canonically associated to g we generalize the resulting frobenius manifold to nonsimply laced root systems to obtain an n parameter family of algebra structures on the affine root lattice of any root system using the crepant resolution conjecture we obtain a prediction for the orbifold gromovwitten potential of c2g
|
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|
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|
707.1338
|
l-Adic representations associated to modular forms over imaginary
quadratic fields
|
Let pi be a regular algebraic cuspidal automorphic representation of GL(2)
over an imaginary quadratic number field K such that the central character of
pi is invariant under the non-trivial automorphism of K. We show that pi is
associated with an l-adic Galois representation rho over K such that at each
prime of K outside an explicit finite set the Frobenius polynomial of rho
agrees with the Hecke polynomial of pi.
|
math.NT
|
let pi be a regular algebraic cuspidal automorphic representation of gl2 over an imaginary quadratic number field k such that the central character of pi is invariant under the nontrivial automorphism of k we show that pi is associated with an ladic galois representation rho over k such that at each prime of k outside an explicit finite set the frobenius polynomial of rho agrees with the hecke polynomial of pi
|
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|
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|
707.1339
|
Finding the Charge of the top quark in the Dilepton Channel
|
There is a question about the identity of the top quark. Is it the top quark
of the Standard Model (SM) with electric charge 2/3 or is it an exotic quark
with charge -4/3? An exotic quark has been proposed by D. Chang et
al.\cite{hep-ph/9810531, hep-ph/9805273}. This analysis will use the standard
CDF run II dilepton sample. The key ingredients of this analysis are the
correct pairing of the lepton and b-jet, the determination of the charge of the
b-jet. The analysis proceeds by using a binomial distribution and is formulated
so that rejecting one hypothesis means support for the other hypothesis.
|
hep-ex
|
there is a question about the identity of the top quark is it the top quark of the standard model sm with electric charge 23 or is it an exotic quark with charge 43 an exotic quark has been proposed by d chang et alcitehepph9810531 hepph9805273 this analysis will use the standard cdf run ii dilepton sample the key ingredients of this analysis are the correct pairing of the lepton and bjet the determination of the charge of the bjet the analysis proceeds by using a binomial distribution and is formulated so that rejecting one hypothesis means support for the other hypothesis
|
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|
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|
707.134
|
Plasma Suppression of Large Scale Structure Formation in the Universe
|
We point out that during the reionization epoch of the cosmic history, the
plasma collective effect among the ordinary matter would suppress the large
scale structure formation. The imperfect Debye shielding at finite temperature
would induce a residual long-range electrostatic potential which, working
together with the baryon thermal pressure, would counter the gravitational
collapse. As a result the effective Jean's length, $\tilde{\lambda}_J$, is
increased by a factor, $\tilde{\lambda}_J/\lambda_J=\sqrt{8/5}$, relative to
the conventional one. For scales smaller than the effective Jean's scale the
plasma would oscillate at the ion-acoustic frequency. The modes that would be
influenced by this effect depend on the starting time and the initial
temperature of reionization, but roughly lie in the range $0.5 h{\rm Mpc}^{-1}<
k$, which corresponds to the region of the Lyman-$\alpha$ forest from the
inter-galactic medium. We predict that in the linear regime of density-contrast
growth, the plasma suppression of the matter power spectrum would approach
$1-(\Omega_{dm}/\Omega_m)^2\sim 1-(5/6)^2\sim 30%$.
|
astro-ph
|
we point out that during the reionization epoch of the cosmic history the plasma collective effect among the ordinary matter would suppress the large scale structure formation the imperfect debye shielding at finite temperature would induce a residual longrange electrostatic potential which working together with the baryon thermal pressure would counter the gravitational collapse as a result the effective jeans length tildelambda_j is increased by a factor tildelambda_jlambda_jsqrt85 relative to the conventional one for scales smaller than the effective jeans scale the plasma would oscillate at the ionacoustic frequency the modes that would be influenced by this effect depend on the starting time and the initial temperature of reionization but roughly lie in the range 05 hrm mpc1 k which corresponds to the region of the lymanalpha forest from the intergalactic medium we predict that in the linear regime of densitycontrast growth the plasma suppression of the matter power spectrum would approach 1omega_dmomega_m2sim 1562sim 30
|
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|
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|
707.1341
|
Coherence of an optically illuminated single nuclear spin qubit
|
We investigate the coherence properties of individual nuclear spin quantum
bits in diamond [Dutt et al., Science, 316, 1312 (2007)] when a proximal
electronic spin associated with a nitrogen-vacancy (NV) center is being
interrogated by optical radiation. The resulting nuclear spin dynamics are
governed by time-dependent hyperfine interaction associated with rapid
electronic transitions, which can be described by a spin-fluctuator model. We
show that due to a process analogous to motional averaging in nuclear magnetic
resonance, the nuclear spin coherence can be preserved after a large number of
optical excitation cycles. Our theoretical analysis is in good agreement with
experimental results. It indicates a novel approach that could potentially
isolate the nuclear spin system completely from the electronic environment.
|
quant-ph
|
we investigate the coherence properties of individual nuclear spin quantum bits in diamond dutt et al science 316 1312 2007 when a proximal electronic spin associated with a nitrogenvacancy nv center is being interrogated by optical radiation the resulting nuclear spin dynamics are governed by timedependent hyperfine interaction associated with rapid electronic transitions which can be described by a spinfluctuator model we show that due to a process analogous to motional averaging in nuclear magnetic resonance the nuclear spin coherence can be preserved after a large number of optical excitation cycles our theoretical analysis is in good agreement with experimental results it indicates a novel approach that could potentially isolate the nuclear spin system completely from the electronic environment
|
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|
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|
707.1342
|
Top Quark Production and Decay Properties at the Tevatron
|
The latest results from the CDF and D0 collaborations on the top-quark
pair-production cross section and limits on electroweak production are
presented. Included are measurements of properties of the top quark such as
charge, lifetime, and the decay branching ratio t->Wb. In addition to
measurements about the top quark, the selected event samples are used to study
the helicity of the W boson and to search for additional exotic quarks (t') and
resonances in the ttbar invariant mass spectrum.
|
hep-ex
|
the latest results from the cdf and d0 collaborations on the topquark pairproduction cross section and limits on electroweak production are presented included are measurements of properties of the top quark such as charge lifetime and the decay branching ratio twb in addition to measurements about the top quark the selected event samples are used to study the helicity of the w boson and to search for additional exotic quarks t and resonances in the ttbar invariant mass spectrum
|
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|
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|
707.1343
|
Albus 1: A very bright white dwarf candidate
|
We have serendipitously discovered a previously-unknown, bright source (B_T =
11.75+/-0.07 mag) with a very blue V_T-K_s color, to which we have named Albus
1. A photometric and astrometric study using Virtual Observatory tools has
shown that it possesses an appreciable proper motion and magnitudes and colors
very similar to those of the well known white dwarf G 191-B2B. We consider
Albus 1 as a DA-type white dwarf located at about 40 pc. If confirmed its
nature, Albus 1 would be the sixth brightest isolated white dwarf in the sky,
which would make it an excellent spectrophotometric standard.
|
astro-ph
|
we have serendipitously discovered a previouslyunknown bright source b_t 1175007 mag with a very blue v_tk_s color to which we have named albus 1 a photometric and astrometric study using virtual observatory tools has shown that it possesses an appreciable proper motion and magnitudes and colors very similar to those of the well known white dwarf g 191b2b we consider albus 1 as a datype white dwarf located at about 40 pc if confirmed its nature albus 1 would be the sixth brightest isolated white dwarf in the sky which would make it an excellent spectrophotometric standard
|
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|
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|
707.1344
|
Piecewise principal comodule algebras
|
A comodule algebra P over a Hopf algebra H with bijective antipode is called
principal if the coaction of H is Galois and P is H-equivariantly projective
(faithfully flat) over the coaction-invariant subalgebra B. We prove that
principality is a piecewise property: given N comodule-algebra surjections
P->Pi whose kernels intersect to zero, P is principal if and only if all Pi's
are principal. Furthermore, assuming the principality of P, we show that the
lattice these kernels generate is distributive if and only if so is the lattice
obtained by intersection with B. Finally, assuming the above distributivity
property, we obtain a flabby sheaf of principal comodule algebras over a
certain space that is universal for all such N-families of surjections P->Pi
and such that the comodule algebra of global sections is P.
|
math.QA math.RA
|
a comodule algebra p over a hopf algebra h with bijective antipode is called principal if the coaction of h is galois and p is hequivariantly projective faithfully flat over the coactioninvariant subalgebra b we prove that principality is a piecewise property given n comodulealgebra surjections ppi whose kernels intersect to zero p is principal if and only if all pis are principal furthermore assuming the principality of p we show that the lattice these kernels generate is distributive if and only if so is the lattice obtained by intersection with b finally assuming the above distributivity property we obtain a flabby sheaf of principal comodule algebras over a certain space that is universal for all such nfamilies of surjections ppi and such that the comodule algebra of global sections is p
|
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|
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|
707.1345
|
Loss of star forming gas in SDSS galaxies
|
Using the star formation rates from the SDSS galaxy sample, extracted using
the MOPED algorithm, and the empirical Kennicutt law relating star formation
rate to gas density, we calculate the time evolution of the gas fraction as a
function of the present stellar mass. We show how the gas-to-stars ratio varies
with stellar mass, finding good agreement with previous results for smaller
samples at the present epoch. For the first time we show clear evidence for
progressive gas loss with cosmic epoch, especially in low-mass systems. We find
that galaxies with small stellar masses have lost almost all of their cold
baryons over time, whereas the most massive galaxies have lost little. Our
results also show that the most massive galaxies have evolved faster and turned
most of their gas into stars at an early time, thus strongly supporting a
downsizing scenario for galaxy evolution.
|
astro-ph
|
using the star formation rates from the sdss galaxy sample extracted using the moped algorithm and the empirical kennicutt law relating star formation rate to gas density we calculate the time evolution of the gas fraction as a function of the present stellar mass we show how the gastostars ratio varies with stellar mass finding good agreement with previous results for smaller samples at the present epoch for the first time we show clear evidence for progressive gas loss with cosmic epoch especially in lowmass systems we find that galaxies with small stellar masses have lost almost all of their cold baryons over time whereas the most massive galaxies have lost little our results also show that the most massive galaxies have evolved faster and turned most of their gas into stars at an early time thus strongly supporting a downsizing scenario for galaxy evolution
|
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|
[-0.05725383228975637, 0.10435872247597154, -0.08426639221865555, 0.09433924992857821, -0.03488810097895049, -0.02125259777531028, 0.03997935324160639, 0.4122176664913523, -0.12948588359647367, -0.35108861551973325, 0.04153262166515121, -0.27693599536693814, -0.04507524510845542, 0.21084067063598796, 0.020974157651051366, -0.008163812798287333, 0.08668780049694509, -0.036743359347195206, -0.05825953025948898, -0.33835804463075153, 0.33362776638361913, 0.10222821153443436, 0.17108844897613443, -0.0139321427471165, 0.06327591849619459, -0.08668075141914446, -0.09646453447318797, -0.04108808914616961, -0.18163352234596145, -0.010028398802889318, 0.2126170987552353, 0.15866426283750554, 0.24573387187616577, -0.39833112742148685, -0.2077429814095577, 0.10296650944149185, 0.22241139000378035, 0.10168536938405756, -0.17409248030262775, -0.21142912656229373, 0.09066008520152034, -0.19839909933668015, -0.14472573951934464, 0.036265868234351795, 0.03611728760197052, 0.01805981807731863, -0.21651686823621777, 0.2020859618179484, 0.015226287571392183, 0.030736479339800005, -0.11288429795892845, -0.10586182243865112, -0.08983792410521158, 0.09880703117313056, 0.05167642152258035, 0.09007392157318778, 0.18484797010134008, -0.14967495240271092, 0.0005147907979272563, 0.40734676831112854, -0.10111281194820486, 0.00033400510598359436, 0.24974502046945793, -0.23204013237023147, -0.1822330898669516, 0.10934148550932778, 0.16666317822347426, 0.11066309410606005, -0.145201151747385, -0.028816726073975965, -0.035412309602191994, 0.2276351034255891, 0.03638512322614933, 0.06690120489857408, 0.32482324465466983, 0.14042989976126058, 0.023697416758935514, 0.07873345884205453, -0.13020752198544555, -0.07255663837884263, -0.1876138841540649, -0.12079888995223004, -0.14133061114377501, 0.04861458934169134, -0.1593359862034739, -0.08384897067564828, 0.3108767309579356, 0.11567076350209014, 0.27484033645997785, 0.16140704296914668, 0.3111901515773658, 0.11623465125850434, 0.11556232661843814, 0.1454045193221677, 0.2745845779005823, 0.13770779167655214, 0.09077742988211585, -0.28298178732130225, 0.09085842442281288, -0.005489454050708948]
|
707.1346
|
Role of Charged Gauge Fields in Generating Magnetic Seed Fields in
Bubble Collisions during the Cosmological Electroweak Phase Transition
|
We calculate the magnetic field generated during bubble collisions in a
first-order electroweak phase transition that may occur for some choices of
parameters in the minimal supersymmetric Standard Model. We show that for
sufficiently gentle collisions, where the Higgs field is relatively unperturbed
in the bubble overlap region, the equations of motion can be linearized so that
in the absence of fermions the charged W fields are the source of the
electromagnetic current for generating the seed fields. Solutions of the
equations of motion for the charged gauge fields and Maxwell's equations for
the magnetic field in O(1,2) space-time symmetry are expressed in closed form
by applying boundary conditions at the time of collision. Our results indicate
that the magnetic fields generated by charged $W^{\pm}$ fields in the collision
are comparable to those found in previous work. The magnetic fields so produced
could seed galactic and extra-galactic magnetic fields observed today.
|
astro-ph
|
we calculate the magnetic field generated during bubble collisions in a firstorder electroweak phase transition that may occur for some choices of parameters in the minimal supersymmetric standard model we show that for sufficiently gentle collisions where the higgs field is relatively unperturbed in the bubble overlap region the equations of motion can be linearized so that in the absence of fermions the charged w fields are the source of the electromagnetic current for generating the seed fields solutions of the equations of motion for the charged gauge fields and maxwells equations for the magnetic field in o12 spacetime symmetry are expressed in closed form by applying boundary conditions at the time of collision our results indicate that the magnetic fields generated by charged wpm fields in the collision are comparable to those found in previous work the magnetic fields so produced could seed galactic and extragalactic magnetic fields observed today
|
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|
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|
707.1347
|
Spitzer IRAC observations of newly-discovered planetary nebulae from the
Macquarie-AAO-Strasbourg H-alpha Planetary Nebula Project
|
We compare H-alpha, radio continuum, and Spitzer Space Telescope (SST) images
of 58 planetary nebulae (PNe) recently discovered by the Macquarie-AAO-Strasbo-
urg H-alpha PN Project (MASH) of the SuperCOSMOS H-alpha Survey. Using InfraRed
Array Camera (IRAC) data we define the IR colors of PNe and demonstrate good
isolation between these colors and those of many other types of astronomical
object. The only substantive contamination of PNe in the color-color plane we
illustrate is due to YSOs. However, this ambiguity is readily resolved by the
unique optical characteristics of PNe and their environs. We also examine the
relationships between optical and MIR morphologies from 3.6 to 8.0um and
explore the ratio of mid-infrared (MIR) to radio nebular fluxes, which is a
valuable discriminant between thermal and nonthermal emission. MASH emphasizes
late evolutionary stages of PNe compared with previous catalogs, enabling study
of the changes in MIR and radio flux that attend the aging process. Spatially
integrated MIR energy distributions were constructed for all MASH PNe observed
by the GLIMPSE Legacy Project, using the H-alpha morphologies to establish the
dimensions for the calculations of the Midcourse Space Experiment (MSX), IRAC,
and radio continuum (from the Molonglo Observatory Synthesis Telescope and the
Very Large Array) flux densities. The ratio of IRAC 8.0-um to MSX 8.3-um flux
densities provides a measure of the absolute diffuse calibration of IRAC at 8.0
um. We independently confirm the aperture correction factor to be applied to
IRAC at 8.0um to align it with the diffuse calibration of MSX. The result
agrees with the recommendations of the Spitzer Science Center and with results
from a parallel study of HII regions. These PNe probe the diffuse calibration
of IRAC on a spatial scale of 9-77 arcsec.
|
astro-ph
|
we compare halpha radio continuum and spitzer space telescope sst images of 58 planetary nebulae pne recently discovered by the macquarieaaostrasbo urg halpha pn project mash of the supercosmos halpha survey using infrared array camera irac data we define the ir colors of pne and demonstrate good isolation between these colors and those of many other types of astronomical object the only substantive contamination of pne in the colorcolor plane we illustrate is due to ysos however this ambiguity is readily resolved by the unique optical characteristics of pne and their environs we also examine the relationships between optical and mir morphologies from 36 to 80um and explore the ratio of midinfrared mir to radio nebular fluxes which is a valuable discriminant between thermal and nonthermal emission mash emphasizes late evolutionary stages of pne compared with previous catalogs enabling study of the changes in mir and radio flux that attend the aging process spatially integrated mir energy distributions were constructed for all mash pne observed by the glimpse legacy project using the halpha morphologies to establish the dimensions for the calculations of the midcourse space experiment msx irac and radio continuum from the molonglo observatory synthesis telescope and the very large array flux densities the ratio of irac 80um to msx 83um flux densities provides a measure of the absolute diffuse calibration of irac at 80 um we independently confirm the aperture correction factor to be applied to irac at 80um to align it with the diffuse calibration of msx the result agrees with the recommendations of the spitzer science center and with results from a parallel study of hii regions these pne probe the diffuse calibration of irac on a spatial scale of 977 arcsec
|
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|
[0.013425164128729395, 0.023828316873182993, -0.07870380074944176, 0.09156786508811232, -0.10194934663517473, -0.044528439868070424, 0.06256535842063649, 0.5089121980743989, -0.15268243473457574, -0.3743915873425009, 0.05030528513295905, -0.28743223572814636, -0.05723628249346828, 0.16883129132158772, -0.07130745484069148, -0.04347573828290286, 0.07107913551700726, -0.22069902259974936, 0.005144125706468488, -0.2616671922570588, 0.26448455025966844, 0.08760047602292821, 0.22377417975042818, -0.03760715066241396, 0.07021439303734502, -0.11185502922968682, -0.19631573849920408, -0.016545768940118683, -0.14257919442253833, 0.09563822371294568, 0.2960525085218251, 0.1344373888363272, 0.14224336890943098, -0.3171251057766464, -0.16947232014022426, 0.06643366775917245, 0.14971379210593264, -0.0037636533391895597, 0.022356358853287257, -0.3284501208077998, 0.053085877242507976, -0.12241768835658741, -0.1812294689599464, 0.0945876014631574, 0.06390783172092555, 0.07394740253961694, -0.21497060849525482, 0.05433813704977013, -0.07095887913334088, 0.16691611339964935, -0.1607910121540957, -0.16017490768535292, -0.09130878268548553, 0.12599632116495352, -0.06713002680419523, 0.0777351538426088, 0.14588534969724584, -0.1776038402553266, -0.05902482954252103, 0.3587363169466017, -0.045624716882018024, 0.029061996068660657, 0.2551651391046049, -0.2037165720631161, -0.1653808708937819, 0.1978093558604016, 0.12632871245761326, 0.08747432625674817, -0.19379823218846806, 0.0549346467230367, -0.016583674548641375, 0.23926180309300105, 0.07306663656620434, 0.13484789692104035, 0.3033092936514071, 0.08718750407991688, 0.034942340052089335, 0.1766490359935011, -0.3464964724667436, -0.013437214348623168, -0.2663277202456953, -0.11803431600964112, -0.1369046881398377, 0.07862680986632228, -0.13570878171394274, -0.11379589001971459, 0.3247232312919052, 0.12885823902055332, 0.15924991429092317, 0.041077649093610676, 0.34382107023844105, 0.02841952003397923, 0.12826385729585843, 0.07797321368275414, 0.3169060920269719, 0.14981680420842747, 0.12811654417976315, -0.2269363146772618, 0.011255736972860229, -0.0033870436347422086]
|
707.1348
|
Engineering Quantum States of a Nano-Resonator via a Simple Auxiliary
System
|
We show how to engineer an extensive range of non-linear Hamiltonians for a
nano-mechanical resonator. The technique requires only a time dependent drive
applied to a Cooper-pair box or second oscillator to which the nano-resonator
is coupled. This method allows one to generate a large number of non-classical
states, as well as Hamiltonians whose classical counterparts are chaotic.
|
cond-mat.mes-hall quant-ph
|
we show how to engineer an extensive range of nonlinear hamiltonians for a nanomechanical resonator the technique requires only a time dependent drive applied to a cooperpair box or second oscillator to which the nanoresonator is coupled this method allows one to generate a large number of nonclassical states as well as hamiltonians whose classical counterparts are chaotic
|
[['we', 'show', 'how', 'to', 'engineer', 'an', 'extensive', 'range', 'of', 'nonlinear', 'hamiltonians', 'for', 'a', 'nanomechanical', 'resonator', 'the', 'technique', 'requires', 'only', 'a', 'time', 'dependent', 'drive', 'applied', 'to', 'a', 'cooperpair', 'box', 'or', 'second', 'oscillator', 'to', 'which', 'the', 'nanoresonator', 'is', 'coupled', 'this', 'method', 'allows', 'one', 'to', 'generate', 'a', 'large', 'number', 'of', 'nonclassical', 'states', 'as', 'well', 'as', 'hamiltonians', 'whose', 'classical', 'counterparts', 'are', 'chaotic']]
|
[-0.11650842500465183, 0.17207252244883547, -0.057406895751824026, 0.030331504551276308, -0.0981004196379719, -0.21725036441509066, 0.0319068747399985, 0.3697211344180436, -0.2557640326819543, -0.31486755821468504, 0.04406300396859196, -0.26441043928884783, -0.14336663494609167, 0.2802349883894404, -0.013649428506173065, 0.11454054220290534, 0.04399395367965616, 0.02983145948282668, -0.010603995471871618, -0.1737357053648809, 0.26779455129571, 0.012051132186476526, 0.2525045189139401, -0.014651757046773002, 0.1409226285839646, -0.03049458553693418, 0.08975879160751557, -9.604215878864814e-06, -0.05244815556717844, 0.09545237239719176, 0.24640785037250867, 0.02402665779990112, 0.3133187497933877, -0.43997743394996586, -0.20163370081191434, 0.11149735894889154, 0.1517903380023701, 0.22648039703249354, 0.0005119505804032087, -0.27571116827813713, 0.020315379610863226, -0.1775646689588782, -0.15036543702770924, -0.16280000726692379, 0.0011831482005273473, 0.022337934346508298, -0.28742427857400016, 0.0392661957664351, 0.05896738565181671, -0.007568155013924015, 0.002736283657903751, 0.021444968670478154, -0.012409218061105188, 0.09812805459108043, -0.0526100527535289, 0.01964805292864812, 0.17106093204548134, -0.08961267147016519, -0.13054895922862764, 0.39440875208197995, -0.07832885700567015, -0.2381999043603267, 0.2232399325625136, -0.08776609286473229, -0.05066598099977549, 0.09953599182310803, 0.19319133515919334, 0.15004877245456585, -0.14697992923049305, 0.03427591695096986, -0.0029931131766402514, 0.25375137863488034, 0.03485034707259258, 0.08959928321941145, 0.17897294389469356, 0.16114756599839392, 0.1028569396183794, 0.22199847279437657, -0.03934778684172137, -0.0968716542862741, -0.2866947568535548, -0.1339014507990716, -0.2560857495549938, 0.08694052465003112, -0.009872761659388399, -0.24898779502234838, 0.457524916863647, 0.14776060624541876, 0.19412223284999872, 0.004052446466661861, 0.26976744371369993, 0.15490022082090507, 0.10206178044258006, -0.00910785483549638, 0.2436298623937985, 0.1582179642041567, 0.06396646517457376, -0.27758096264934184, -0.06231023328667828, 0.020361576405964022]
|
707.1349
|
Exploring improved holographic theories for QCD: Part II
|
This paper is a continuation of ArXiv:0707.1324 where improved holographic
theories for QCD were set up and explored. Here, the IR confining geometries
are classified and analyzed. They all end in a "good" (repulsive) singularity
in the IR. The glueball spectra are gaped and discrete, and they favorably
compare to the lattice data. Quite generally, confinement and discrete spectra
imply each other. Asymptotically linear glueball masses can also be achieved.
Asymptotic mass ratios of various glueballs with different spin also turn out
to be universal. Mesons dynamics is implemented via space filling D4-anti-D4
brane pairs. The associated tachyon dynamics is analyzed and chiral symmetry
breaking is shown. The dynamics of the RR axion is analyzed, and the
non-perturbative running of the QCD theta-angle is obtained. It is shown to
always vanish in the IR.
|
hep-th hep-lat hep-ph
|
this paper is a continuation of arxiv07071324 where improved holographic theories for qcd were set up and explored here the ir confining geometries are classified and analyzed they all end in a good repulsive singularity in the ir the glueball spectra are gaped and discrete and they favorably compare to the lattice data quite generally confinement and discrete spectra imply each other asymptotically linear glueball masses can also be achieved asymptotic mass ratios of various glueballs with different spin also turn out to be universal mesons dynamics is implemented via space filling d4antid4 brane pairs the associated tachyon dynamics is analyzed and chiral symmetry breaking is shown the dynamics of the rr axion is analyzed and the nonperturbative running of the qcd thetaangle is obtained it is shown to always vanish in the ir
|
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|
[-0.11576228462350131, 0.19963302435423952, -0.132782423833498, 0.1358176683142753, -0.05389619380179228, -0.16850664240491547, -0.007221370927502655, 0.4100588348087375, -0.1917550176890059, -0.22460334752262992, 0.08713881365750267, -0.2714237577765192, -0.09789244133174758, 0.12703771321949633, 0.0020179314588224797, 0.0738067110633534, 0.0015698049400904865, 0.04022913299162279, -0.07053108177977706, -0.2813828272364018, 0.29196908061787713, 0.009340825063797334, 0.2705949519471632, 0.09726073723780274, 0.023893482326071313, -0.06391353546694684, -0.024737552570348435, 0.033788253112024075, -0.11876018044263632, 0.04535376227630133, 0.22654996943928188, 0.024956488068159106, 0.12392824663865296, -0.36364881368353963, -0.19595959659129608, 0.09595727220629201, 0.20798157940964412, 0.12418951485023806, -0.010535158602358548, -0.27813096020624717, 0.10185115750187612, -0.14880106465495896, -0.146153972381867, -0.11705376730639148, -0.01586131295048152, -0.040712109890371335, -0.26981424420338235, 0.042080710643362676, -0.04764109579705154, 0.02569019267067426, -0.0655913626365928, -0.13824728043629986, -0.08713530118234991, 0.0893732815501139, 0.11681770155326265, 0.07303051110074828, 0.13239112444606496, -0.14912043134487854, -0.11252410243491107, 0.4099310218554103, -0.05426726442281947, -0.18628390671360787, 0.19796644234641766, -0.12604160359213976, -0.12862155950014395, 0.1339005290100238, 0.0857184621025667, 0.12201411351490991, -0.1555908756175389, 0.14777372933167499, -0.031687836768634785, 0.1593011399919774, 0.09642662076194855, 0.08586940930267288, 0.2586111352341532, 0.1238201299662857, -0.02046401694656886, 0.12192428350372762, -0.00954900230642648, -0.1461678799488723, -0.3363407975711832, -0.0941111081082261, -0.17763150845051065, 0.05214805017176056, -0.09314753292897932, -0.1191148973633641, 0.35795052016196266, 0.07946118707310013, 0.21223764682089855, 0.027949252088243764, 0.23340504615440627, 0.13143769815966758, 0.06616923884157035, 0.07726275702324611, 0.3010914041096288, 0.12590451552144563, 0.1057130194720671, -0.2932554656801971, -0.08247827494404081, 0.09111010657877407]
|
707.135
|
Cosmological expansion and local physics
|
The interplay between cosmological expansion and local attraction in a
gravitationally bound system is revisited in various regimes. First, weakly
gravitating Newtonian systems are considered, followed by various exact
solutions describing a relativistic central object embedded in a Friedmann
universe. It is shown that the ``all or nothing'' behaviour recently discovered
(i.e., weakly coupled systems are comoving while strongly coupled ones resist
the cosmic expansion) is limited to the de Sitter background. New exact
solutions are presented which describe black holes perfectly comoving with a
generic Friedmann universe. The possibility of violating cosmic censorship for
a black hole approaching the Big Rip is also discussed.
|
gr-qc astro-ph
|
the interplay between cosmological expansion and local attraction in a gravitationally bound system is revisited in various regimes first weakly gravitating newtonian systems are considered followed by various exact solutions describing a relativistic central object embedded in a friedmann universe it is shown that the all or nothing behaviour recently discovered ie weakly coupled systems are comoving while strongly coupled ones resist the cosmic expansion is limited to the de sitter background new exact solutions are presented which describe black holes perfectly comoving with a generic friedmann universe the possibility of violating cosmic censorship for a black hole approaching the big rip is also discussed
|
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|
[-0.19695843079770428, 0.14465268605521747, -0.09291136651521638, 0.15049267677102415, -0.07499310388008044, -0.17942395641335418, -0.07953518120838063, 0.2514071868909966, -0.1929769067537217, -0.256581122250784, 0.07447685197638791, -0.30865371747918074, -0.08277869392408146, 0.1638599018544136, -0.0027645685211090103, 0.026009056318019117, -0.0023241724109365827, 0.022572170161376044, -0.023249649702172193, -0.2837621470469804, 0.3771903398601959, 0.11737126149874669, 0.27068737284058614, -0.04553600681856984, 0.103911885137703, -0.06264076763098793, -0.022191558064272008, 0.0911422495331083, -0.16542325669801183, 0.035687077874761254, 0.19439107226207852, 0.12296228843430677, 0.20904000156608943, -0.41010383573316395, -0.2489484751597047, 0.10451090169094858, 0.2108741940753091, 0.1825605979909943, -0.12374752980789967, -0.3317339423955196, 0.07499432232496994, -0.19752391303579012, -0.16083862244461974, -0.048161326264519064, 0.04666521243662352, -0.011478253436784836, -0.1722322314090672, 0.1469534933675147, 0.03398350186291195, -0.10261991079370048, -0.09474552689962798, 0.0270876148504959, 0.02192566869115191, 0.04377356830407821, 0.07544627565713156, 0.02741582048613401, 0.160319883815412, -0.14092750182996194, -0.05507717146094711, 0.41292605428468615, -0.07867232912463978, -0.1860526628991855, 0.2186662211482014, -0.1851287627725729, -0.12736877472184244, 0.12925727866767417, 0.08962152618305048, 0.17087681721452447, -0.21211976952229936, 0.18326904684294104, 0.04067357344818967, 0.15954206580118763, 0.13956834342375044, 0.03750055671359102, 0.35800595591288237, 0.12448501819744706, 0.02661607727585804, 0.09554516024710168, 0.02989709995509613, -0.14223523242842584, -0.32622816940503463, -0.12066900084914994, -0.16313948547800206, 0.061255661925921835, -0.1531632874913547, -0.21325758938605544, 0.2678650247664856, 0.06843301527024735, 0.1638258202932775, 0.0195340996220087, 0.24425146086768584, 0.0354561748426585, -0.025828044808336666, 0.1273450339878244, 0.35635665594821886, 0.13038874552585183, 0.12942582676630646, -0.20515151700404075, -0.01556544281719696, 0.10619487408770337]
|
707.1351
|
Inverse approach to Einstein's equations for fluids with vanishing
anisotropic stress tensor
|
We expand previous work on an inverse approach to Einstein Field Equations
where we include fluids with energy flux and consider the vanishing of the
anisotropic stress tensor. We consider the approach using warped product
spacetimes of class $B_1$. Although restricted, these spacetimes include many
exact solutions of interest to compact object studies and to cosmological
models studies. The question explored here is as follows: given a spacetime
metric, what fluid flow (timelike congruence), if any, could generate the
spacetime via Einstein's equations. We calculate the flow from the condition of
a vanishing anisotropic stress tensor and give results in terms of the metric
functions in the three canonical types of coordinates. A condition for perfect
fluid sources is also provided. The framework developed is algorithmic and
suited for the study and validation of exact solutions using computer algebra
systems. The framework can be applied to solutions in comoving and non-comoving
frames of reference, and examples in different types of coordinates are worked
out.
|
gr-qc astro-ph.CO
|
we expand previous work on an inverse approach to einstein field equations where we include fluids with energy flux and consider the vanishing of the anisotropic stress tensor we consider the approach using warped product spacetimes of class b_1 although restricted these spacetimes include many exact solutions of interest to compact object studies and to cosmological models studies the question explored here is as follows given a spacetime metric what fluid flow timelike congruence if any could generate the spacetime via einsteins equations we calculate the flow from the condition of a vanishing anisotropic stress tensor and give results in terms of the metric functions in the three canonical types of coordinates a condition for perfect fluid sources is also provided the framework developed is algorithmic and suited for the study and validation of exact solutions using computer algebra systems the framework can be applied to solutions in comoving and noncomoving frames of reference and examples in different types of coordinates are worked out
|
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|
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|
707.1352
|
Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations
|
Statements analogous to the Hard Lefschetz Theorem (HLT) and the
Hodge-Riemann bilinear relations (HRR) hold in a variety of contexts: they
impose restrictions on the cohomology algebra of a smooth compact K\"ahler
manifold or on the intersection cohomology of a projective toric variety; they
restrict the local monodromy of a polarized variation of Hodge structure; they
impose conditions on the possible $f$-vectors of convex polytopes. While the
statements of these theorems depend on the choice of a K\"ahler class, or its
analog, there is usually a cone of possible K\"ahler classes. It is then
natural to ask whether the HLT and HRR remain true in a mixed context. In this
note we present a unified approach to proving the mixed HLT and HRR,
generalizing the previously known results, and proving it in new cases such as
the intersection cohomology of non-rational polytopes.
|
math.AG
|
statements analogous to the hard lefschetz theorem hlt and the hodgeriemann bilinear relations hrr hold in a variety of contexts they impose restrictions on the cohomology algebra of a smooth compact kahler manifold or on the intersection cohomology of a projective toric variety they restrict the local monodromy of a polarized variation of hodge structure they impose conditions on the possible fvectors of convex polytopes while the statements of these theorems depend on the choice of a kahler class or its analog there is usually a cone of possible kahler classes it is then natural to ask whether the hlt and hrr remain true in a mixed context in this note we present a unified approach to proving the mixed hlt and hrr generalizing the previously known results and proving it in new cases such as the intersection cohomology of nonrational polytopes
|
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|
[-0.14665361083256948, 0.019278433852710983, -0.12155367860990302, 0.14929811653277744, -0.13040524280243093, -0.15441035044143422, 0.029077495456489563, 0.3290836741921531, -0.3203946280155436, -0.24439394146099058, 0.17006297007983576, -0.18464160621376105, -0.14154185497359387, 0.19253271711583603, -0.1952381131967241, 0.021814585414560984, 0.06201298243749861, 0.06931505273883297, -0.12124671686164425, -0.3207927639645354, 0.4299658222622435, -0.05038291038158284, 0.2359037879136273, 0.11386718827916283, 0.13012275974017004, 0.010373498001594988, -0.007636380109699889, -0.0053879127280978675, -0.11562941408335743, 0.151095716241734, 0.31380305321178803, 0.11112050068053142, 0.15815598555204366, -0.41893297788018075, -0.11416752457382603, 0.2050088110132287, 0.04686976925627342, 0.05068289831077392, -0.007715956291551112, -0.2474423023039134, 0.08368851485806451, -0.1146493379689071, -0.17016298746244168, -0.10117201133906631, 0.002507654835247028, 0.005310001999097155, -0.22090527236758417, -0.01996514652724522, 0.13989574916031158, 0.08612902795003963, -0.06457214479082146, -0.0812808050754362, -0.0734253079420559, 0.058659356431773224, 0.013621238981780241, 0.04203786012473923, 0.10729320570957702, -0.11939008928291027, -0.13257611208451045, 0.39388031823376957, -0.0017290200519992013, -0.24767028516269957, 0.1787362860660823, -0.13027458685830656, -0.23058085920023536, 0.09720029520579207, 0.11424152477985432, 0.1952748809298369, -0.03588520391872087, 0.17383656602739816, -0.12895382379967077, 0.07649363230825336, 0.12926473200376945, 0.04368738542945439, 0.18048232018662302, 0.109692624642212, 0.09520090622237136, 0.11193859670803108, 0.02319950963621369, -0.07985348896940016, -0.368400649508645, -0.18460286777584592, -0.13827761746024791, 0.14859822829103123, -0.11036955651418882, -0.19526850605202334, 0.3947139255781199, 0.04691286654290284, 0.1646741305110635, 0.11490969795694339, 0.2527519947042505, 0.034405942049539895, 0.08521045553235626, 0.0419137538935412, 0.19102845340967178, 0.2026458865385765, 0.04074759866130656, -0.10505745683396629, 0.008773676134501649, 0.14817887139637811]
|
707.1353
|
Poincare duality and Periodicity
|
We construct periodic families of Poincare complexes, partially solving a
question of Hodgson that was posed in the proceedings of the 1982 Northwestern
homotopy theory conference. We also construct infinite families of Poincare
complexes whose top cell falls off after one suspension but which fail to embed
in a sphere of codimension one. We give a homotopy theoretic description of the
four-fold periodicity in knot cobordism.
|
math.AT math.GT
|
we construct periodic families of poincare complexes partially solving a question of hodgson that was posed in the proceedings of the 1982 northwestern homotopy theory conference we also construct infinite families of poincare complexes whose top cell falls off after one suspension but which fail to embed in a sphere of codimension one we give a homotopy theoretic description of the fourfold periodicity in knot cobordism
|
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|
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|
707.1354
|
Microscopic surface structure of C/SiC composite mirrors for space
cryogenic telescopes
|
We report on the microscopic surface structure of carbon-fiber-reinforced
silicon carbide (C/SiC) composite mirrors that have been improved for the Space
Infrared Telescope for Cosmology and Astrophysics (SPICA) and other cooled
telescopes. The C/SiC composite consists of carbon fiber, silicon carbide, and
residual silicon. Specific microscopic structures are found on the surface of
the bare C/SiC mirrors after polishing. These structures are considered to be
caused by the different hardness of those materials. The roughness obtained for
the bare mirrors is 20 nm rms for flat surfaces and 100 nm rms for curved
surfaces. It was confirmed that a SiSiC slurry coating is effective in reducing
the roughness to 2 nm rms. The scattering properties of the mirrors were
measured at room temperature and also at 95 K. No significant change was found
in the scattering properties through cooling, which suggests that the
microscopic surface structure is stable with changes in temperature down to
cryogenic values. The C/SiC mirror with the SiSiC slurry coating is a promising
candidate for the SPICA telescope.
|
astro-ph
|
we report on the microscopic surface structure of carbonfiberreinforced silicon carbide csic composite mirrors that have been improved for the space infrared telescope for cosmology and astrophysics spica and other cooled telescopes the csic composite consists of carbon fiber silicon carbide and residual silicon specific microscopic structures are found on the surface of the bare csic mirrors after polishing these structures are considered to be caused by the different hardness of those materials the roughness obtained for the bare mirrors is 20 nm rms for flat surfaces and 100 nm rms for curved surfaces it was confirmed that a sisic slurry coating is effective in reducing the roughness to 2 nm rms the scattering properties of the mirrors were measured at room temperature and also at 95 k no significant change was found in the scattering properties through cooling which suggests that the microscopic surface structure is stable with changes in temperature down to cryogenic values the csic mirror with the sisic slurry coating is a promising candidate for the spica telescope
|
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|
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|
707.1355
|
Graphs of functions and vanishing free entropy
|
Suppose X is an n-tuple of selfadjoint elements in a tracial von Neumann
algebra M. If z is a selfadjoint element in M and for some selfadjoint element
y in the von Neumann algebra generated by X $\delta_0(y, z) < \delta_0(y) +
\delta_0(z)$, then $\chi(X \cup \{z\}) = -\infty$ (here $\chi$ and $\delta_0$
denote the microstates free entropy and free entropy dimension, respectively).
In particular, if z lies in the von Neumann algebra generated by X, then
$\chi(X \cup \{z\}) = -\infty$. The statement and its proof are motivated by
geometric-measure-theoretic results on graphs of functions. A similar statement
for the nonmicrostates free entropy is obtained under the much stronger
hypothesis that z lies in the algebra generated by X.
|
math.OA
|
suppose x is an ntuple of selfadjoint elements in a tracial von neumann algebra m if z is a selfadjoint element in m and for some selfadjoint element y in the von neumann algebra generated by x delta_0y z delta_0y delta_0z then chix cup z infty here chi and delta_0 denote the microstates free entropy and free entropy dimension respectively in particular if z lies in the von neumann algebra generated by x then chix cup z infty the statement and its proof are motivated by geometricmeasuretheoretic results on graphs of functions a similar statement for the nonmicrostates free entropy is obtained under the much stronger hypothesis that z lies in the algebra generated by x
|
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|
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|
707.1356
|
Mirror symmetry aspects for compact G_2 manifolds
|
The present paper deals with mirror symmetry aspects of compact ``barely''
$G_2$ manifolds, that is, $G_2$ manifolds of the form (CY$\times
S^1)/\mathbb{Z}_2$. We propose that the mirror of any barely $G_2$ manifold is
another barely one and which is constructed as a fibration of the \emph{mirror}
of the CY base. Also, we describe the Joyce manifolds of the first kind as
``barely'' and we show that the underlying CY of all the family is self-mirror
with $h^{1,1}=h^{2,1}=19$. We thus propose that the mirror of a Joyce space of
the first kind will be another Joyce space of the first kind.We also suggest
that this self-mirror CY family is dual to K3$\times S^1$ in the
heterotic/M-theory sense, and that arise as a particular case of the
Borcea-Voisin construction. As a spin-off we conclude from this analysis that
no 5-brane instantons are present in compactifications of eleven dimensional
supergravity over Joyce manifolds of the first kind.
|
hep-th math.AG math.GT
|
the present paper deals with mirror symmetry aspects of compact barely g_2 manifolds that is g_2 manifolds of the form cytimes s1mathbbz_2 we propose that the mirror of any barely g_2 manifold is another barely one and which is constructed as a fibration of the emphmirror of the cy base also we describe the joyce manifolds of the first kind as barely and we show that the underlying cy of all the family is selfmirror with h11h2119 we thus propose that the mirror of a joyce space of the first kind will be another joyce space of the first kindwe also suggest that this selfmirror cy family is dual to k3times s1 in the heteroticmtheory sense and that arise as a particular case of the borceavoisin construction as a spinoff we conclude from this analysis that no 5brane instantons are present in compactifications of eleven dimensional supergravity over joyce manifolds of the first kind
|
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|
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|
707.1357
|
Calculations of canonical averages from the grand canonical ensemble
|
Grand canonical and canonical ensembles become equivalent in the
thermodynamic limit, but when the system size is finite the results obtained in
the two ensembles deviate from each other. In many important cases, the
canonical ensemble provides an appropriate physical description but it is often
much easier to perform the calculations in the corresponding grand canonical
ensemble. We present a method to compute averages in canonical ensemble based
on calculations of the expectation values in grand canonical ensemble. The
number of particles, which is fixed in the canonical ensemble, is not
necessarily the same as the average number of particles in the grand canonical
ensemble.
|
cond-mat.stat-mech
|
grand canonical and canonical ensembles become equivalent in the thermodynamic limit but when the system size is finite the results obtained in the two ensembles deviate from each other in many important cases the canonical ensemble provides an appropriate physical description but it is often much easier to perform the calculations in the corresponding grand canonical ensemble we present a method to compute averages in canonical ensemble based on calculations of the expectation values in grand canonical ensemble the number of particles which is fixed in the canonical ensemble is not necessarily the same as the average number of particles in the grand canonical ensemble
|
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|
[-0.05376254210603379, 0.16767092617242485, -0.12026340854575947, 0.13082327499010024, 0.07182707110907705, -0.07925639846583916, 0.00938715128272417, 0.358329166613874, -0.20281368032918268, -0.30161398458072824, 0.0271195531246208, -0.25144492309717903, -0.12072595101337702, 0.1621816380880773, -0.03445469630172565, 0.06181469526310961, 0.05821021646704702, 0.1322196152837326, -0.14834749102370726, -0.22912338060282525, 0.2903443838868822, 0.12954413059744097, 0.3108790516764635, -0.07691088297980882, 0.0980170449508088, 0.020861058768683247, 0.020000186877413874, 0.04356555385372, -0.0678653603774451, 0.10487051819938989, 0.2053294130867081, 0.1336259920105693, 0.2634898001062019, -0.3990653796564965, -0.16891926978493021, 0.2057400577745977, 0.1317962386157541, 0.12604499181532966, 0.0280408887325653, -0.15648989211102682, 0.03806771256273524, -0.14823179490686883, -0.14229421395631064, -0.1018175564928069, -0.030894195563381625, 0.01460651435135376, -0.27686189876071043, 0.05891943612978572, 0.03817250316164323, 0.06850627580355476, -0.04945878527526345, -0.16980413889756338, 0.02330787537974261, 0.10792833824248407, 0.033714596093410536, 0.013458209639481668, 0.2056206290565786, -0.1124969276599586, -0.04448675568259898, 0.4291340358200527, -0.06073615569843068, -0.2188579165775861, 0.17118245644627939, -0.12491452905925966, -0.17341367758899218, 0.11743763598524744, 0.05802598467007989, 0.12396896693057248, -0.15291278234397482, 0.09352919992358823, -0.09509105874402891, 0.12539299669719878, 0.008533164477419286, 0.016976228489407472, 0.2372170995388712, 0.1269211962530833, 0.039424346691729235, 0.1333644729312731, -0.024415152437896246, -0.2581726380490831, -0.2917386018538049, -0.16461130174852553, -0.2212702735504579, 0.1010801924017003, -0.10786472782922266, -0.20530918851228697, 0.3571212570227328, 0.1844873599885475, 0.2660170038984645, 0.0693985626999555, 0.2690058981024084, 0.10869816557969898, 0.07941346192466361, 0.04881058514472984, 0.24512276738615973, 0.11584022928561483, 0.03277910718073448, -0.220374406410736, -0.05067972525776852, 0.12648464080966298]
|
707.1358
|
Self-dual Vortices in the Abelian Chern-Simons Model with Two Complex
Scalar Fields
|
Making use of $\phi$-mapping topological current method, we discuss the
self-dual vortices in the Abelian Chern-Simons model with two complex scalar
fields. For each scalar field, an exact nontrivial equation with a topological
term which is missing in many references is derived analytically. The general
angular momentum is obtained. The magnetic flux which relates the two scalar
fields is calculated. Furthermore, we investigate the vortex evolution
processes, and find that because of the present of the vortex molecule, these
evolution processes is more complicated than the vortex evolution processes in
the corresponding single scalar field model.
|
hep-th
|
making use of phimapping topological current method we discuss the selfdual vortices in the abelian chernsimons model with two complex scalar fields for each scalar field an exact nontrivial equation with a topological term which is missing in many references is derived analytically the general angular momentum is obtained the magnetic flux which relates the two scalar fields is calculated furthermore we investigate the vortex evolution processes and find that because of the present of the vortex molecule these evolution processes is more complicated than the vortex evolution processes in the corresponding single scalar field model
|
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|
[-0.19700044790685448, 0.17186962338761683, -0.05855666824694102, 0.12357253594018403, -0.09631622808228713, -0.11738196180764741, -0.06339731381012825, 0.3296145120402798, -0.23476437578210607, -0.2771604757484359, 0.04663014011384803, -0.22323902878148752, -0.15315965118740374, 0.16222108409177358, 0.05057554213757006, 0.010762988284113817, 0.010689525348425377, 0.0736461098131258, -0.0626850422474187, -0.22805753677190901, 0.3865429294916491, -0.010253174157696776, 0.25786440158844925, 0.036350933257684424, 0.09646246549285327, -0.012432765758906802, -0.03938913442470948, -0.0032680524406411373, -0.1404888423595215, 0.08641233952948824, 0.16196710402922085, 0.02936599188251421, 0.1706979593630725, -0.4450112995885623, -0.23786656317921975, 0.09511824872364134, 0.16027026677814624, 0.15766855487163411, -0.03640899507263384, -0.2511561229766812, 0.053586693005248286, -0.14376469633619612, -0.13728596926375758, -0.09522300776249419, 0.03953341237744704, 0.0031394429412709237, -0.2707980311461142, 0.0817144756607983, 0.027512129718767635, 0.0463664642496345, -0.09265049498450632, -0.09317684380099915, -0.08701894188076646, 0.06205908310463807, 0.0917134131415196, 0.06645416395622306, 0.13320995273534209, -0.21856702417426277, -0.13482205801119562, 0.3705815049179364, -0.08278454663938344, -0.2356425624845239, 0.13187820568903894, -0.16138728457735851, -0.10966453818158091, 0.1532518609407513, 0.10452446199997212, 0.14368663642865917, -0.145157606418555, 0.10678954684347748, -0.045458667237350404, 0.12712427337100962, 0.03707921696089519, 0.027011761760149966, 0.26843261665878043, 0.1332061480594954, 0.026197144795029697, 0.1693211018864531, -0.08392395509872586, -0.16291990246099886, -0.31897028407547623, -0.17981489661057518, -0.15405027683785497, 0.06349103268197116, -0.08708482811910774, -0.18356259821060425, 0.413771083583318, 0.15588315572919478, 0.16881823804487794, 0.0037931492576414407, 0.27717720546449226, 0.17930588767436953, 0.05715312319322644, 0.07674485009435254, 0.23878451823778354, 0.20150804713678858, 0.12383449844977197, -0.24997942291762834, -0.04864132140452663, 0.05982648075829881]
|
707.1359
|
NMR Evidence for Spin Canting in a Bilayer nu = 2 Quantum Hall System
|
We investigate the electron spin states in the bilayer quantum Hall system at
total Landau level filling factor nu =2 exploiting current-pumped and
resistively detected NMR. The measured Knight shift, KS, of 75As nuclei reveals
continuous variation of the out-of-plane electronic spin polarization between
nearly full and zero as a function of density imbalance. Nuclear spin
relaxation measurements indicate a concurrent development of an in-plane spin
component. These results provide direct information on the spin configuration
in this system and comprise strong evidence for the spin canting suggested by
previous experiments.
|
cond-mat.mes-hall cond-mat.str-el
|
we investigate the electron spin states in the bilayer quantum hall system at total landau level filling factor nu 2 exploiting currentpumped and resistively detected nmr the measured knight shift ks of 75as nuclei reveals continuous variation of the outofplane electronic spin polarization between nearly full and zero as a function of density imbalance nuclear spin relaxation measurements indicate a concurrent development of an inplane spin component these results provide direct information on the spin configuration in this system and comprise strong evidence for the spin canting suggested by previous experiments
|
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|
[-0.19899237833710182, 0.2131529405287842, -0.021718282252550125, 0.02400153410465767, -0.008993698718647162, -0.11307236249558628, 0.07379959169775248, 0.3739757601585653, -0.24512586750917964, -0.31230968431466155, -0.02559556713482986, -0.297801805101335, -0.06385314349188573, 0.20083086655164759, 0.12018236575855148, 0.0207363736970971, 0.000398398342076689, -0.02815575057142673, -0.1396284116845992, -0.1587832816087434, 0.2602844894553224, 0.02677318687007452, 0.3107476682919595, 0.09781486394090785, 0.10831448528915644, 0.09520111859569119, 0.035163833920119535, 0.009118213338984384, -0.13872765816437702, 0.029082450800342486, 0.26001230022973487, -0.052521809216381776, 0.17036374129561915, -0.43410277374916606, -0.15212155923816478, -0.012168410055649777, 0.09102598908874723, 0.1687045770438595, -0.043338689773291764, -0.3048598361305065, -0.009638811704806155, -0.18869371591135858, -0.11599793295996884, -0.12446712768740124, 0.011841205062551631, -0.035312030360930495, -0.23043802140487565, 0.16863801724329178, 0.10964971819582085, 0.1410310061234567, -0.13486382523292884, -0.18938824854428984, -0.050455233216699626, 0.052392802760005, 0.05045704168474509, 0.09255580904201553, 0.21460703407259038, -0.0972817549481988, -0.21114727871026845, 0.25161462693164743, -0.07267036099090345, -0.10243652179423306, 0.1231270314194262, -0.2622847368888971, -0.11245540241814322, 0.15422716930301653, 0.11589015661221412, 0.05715182587090466, -0.0956197988604092, 0.03651910775483379, -0.03745994494012039, 0.23948488782366945, 0.022311701861003206, 0.09065627958108154, 0.27979902083882024, 0.16744340539185537, 0.10531372078177002, 0.1279087130821103, -0.19235618768208143, -0.05586903770454228, -0.206979953042335, -0.16076289245651829, -0.20918485787697136, 0.13823526978699696, -0.03260394821975044, -0.10068638890257312, 0.4146476432422383, 0.05758799469719331, 0.18041865330499907, -0.055255479225888846, 0.2707484424786849, 0.12275802621152251, 0.05955425262865093, 0.04639704892308348, 0.2575128927671661, 0.22941821180801425, 0.10501692878703277, -0.40990250658036936, 0.0638968483130965, -0.05317797302397796]
|
707.136
|
On the Distance and Molecular Environment of Westerlund 2 and HESS
J1023-575
|
The extended TeV gamma-ray source HESS J1023-575 is coincident with the
massive, young stellar cluster Westerlund 2 (Wd2) and its surrounding HII
region RCW 49. On the basis of an analysis of the CO emission and 21 cm
absorption along the line of sight to Wd2, it is argued that this cluster, and
by assumption the TeV source as well, must be associated with a giant molecular
cloud in the far side of the Carina arm with a mass of 7.5 x 10^5 Mo. Analysis
of the spatial and velocity structure of the cloud reveals clear evidence of
interaction with Wd2. The cloud's kinematic distance of 6.0 +/- 1.0 kpc is
shown to be consistent with distances inferred both from the radius-linewidth
relation of molecular clouds and from the foreground gas column derived from
230 X-ray sources in Wd2.
|
astro-ph
|
the extended tev gammaray source hess j1023575 is coincident with the massive young stellar cluster westerlund 2 wd2 and its surrounding hii region rcw 49 on the basis of an analysis of the co emission and 21 cm absorption along the line of sight to wd2 it is argued that this cluster and by assumption the tev source as well must be associated with a giant molecular cloud in the far side of the carina arm with a mass of 75 x 105 mo analysis of the spatial and velocity structure of the cloud reveals clear evidence of interaction with wd2 the clouds kinematic distance of 60 10 kpc is shown to be consistent with distances inferred both from the radiuslinewidth relation of molecular clouds and from the foreground gas column derived from 230 xray sources in wd2
|
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|
[-0.07421248363302069, 0.054726242370853356, -0.04212358979215968, 0.058209210058103186, -0.05670237248206008, -0.046192043508491376, 0.07162622303912675, 0.43998752489522863, -0.1942463062453359, -0.3624307034115722, 0.04186292682828749, -0.2934881201707316, 0.009630900025911574, 0.14931854888810403, 0.043377336600912655, -0.059910690185892644, 0.057623704956558934, -0.03449670809667802, -0.022635063780199763, -0.1766019080048359, 0.30486751533025047, 0.11311930556013419, 0.1601923222145419, 0.03851042480894575, 0.08515067695959533, -0.13149439790252135, -0.08191834261341796, -0.02757256493026758, -0.08523661093846903, 0.09838528676216837, 0.18929569186671658, 0.1402191967069491, 0.15650574693517474, -0.3187732042907907, -0.21385942116026244, 0.020315225838694592, 0.22340139920354216, -0.006697673891011598, -0.013860746389628816, -0.3492410210858568, 0.08418807449553461, -0.20280129630390528, -0.24580081396933345, 0.16713788926288703, 0.07305876219672335, 0.04401573595203405, -0.18908372057651096, 0.1563477040163112, -0.02955280659026908, 0.11416219709182743, -0.10471219664701281, -0.1376436223432313, -0.06474814268787575, 0.04302787044710976, 0.005243603060239532, 0.1497780728208268, 0.21252293880675396, -0.13079970628261076, -0.028659187226699, 0.41538821024154005, -0.0282303210310502, -0.005416247602824094, 0.2608317932110606, -0.2148695512433421, -0.17447890013619496, 0.21735070164512543, 0.10331475239818114, 0.06378612297852218, -0.17758025453692763, 0.03983171138084786, -0.05979558369008838, 0.2449757246110235, 0.05417960376077651, 0.053317746973467355, 0.30428342178572704, 0.08638504557192571, 0.046414081530686276, 0.12443354445591188, -0.31504635879452114, -0.07028657070830138, -0.24814544697666038, -0.10192211621770648, -0.137417438328708, 0.09825995959253152, -0.16936632230090587, -0.08358279167845281, 0.26618763864087963, 0.09157643781689821, 0.25888921386378744, -0.01055110967888014, 0.28724197317662575, 0.06369936570141084, 0.11173419722689003, 0.15621832441402614, 0.2939804705594034, 0.2097093080065084, 0.08106248370664072, -0.2077857335590941, 0.03713437097051935, -0.03068925643061036]
|
707.1361
|
A generalization of the Shestakov-Umirbaev inequality
|
We give a generalization of the Shestakov-Umirbaev inequality which plays an
important role in their solution of the tame generators conjecture.
|
math.AC
|
we give a generalization of the shestakovumirbaev inequality which plays an important role in their solution of the tame generators conjecture
|
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|
[-0.19294126464852265, 0.018282003906538842, -0.13285707595891186, 0.11177680233404749, -0.03628963409435181, -0.12766750662454537, -0.049196503879058925, 0.2442918166163422, -0.2702634988263959, -0.2923042821210055, 0.08235299471388793, -0.22418483008541876, -0.22536910147893996, 0.22367163924943834, -0.12731225083449058, -0.03216557594991866, 0.04654072304921491, 0.0657629646981756, -0.009522275034604328, -0.2966656231631835, 0.3398916619341998, 0.1113939420985324, 0.251106386028585, 0.15359456118728435, 0.11922683737551172, 0.09292067862337544, -0.023820850998163223, -0.07991571582499005, -0.1924643356441742, 0.18678914640276206, 0.286057584253805, 0.12909681172597975, 0.3209027967282704, -0.4174741783312389, -0.07326807834518452, 0.1980516049911135, 0.15651307971261086, 0.05818162700493953, -0.14474738992395855, -0.20722208792964616, 0.03658759185955638, -0.1688886925223328, -0.26112432919797446, -0.06690105849078723, 0.0313316493162087, -0.05254259306405272, -0.26357321263778777, 0.10661382871192127, 0.2246658036574012, 0.09798424948530737, -0.07320072209196431, -0.04869608465759527, 0.010196240884917123, 0.15336477798631504, 0.03918856107408092, 0.038663385657682306, 0.021333961304099786, -0.15297920310071536, -0.14375909457781486, 0.3720833759400107, 0.01157307629251764, -0.23054992230165572, 0.05439806012215004, -0.04031418255042462, -0.22008901231345676, 0.03206659152749039, 0.12707494305712835, 0.13430652173147314, -0.01854216875064941, 0.1503390830364965, -0.1672023365806256, 0.042805235810755266, 0.07628154124887217, 0.12090054894464888, 0.14019192959226312, 0.11759596495401292, 0.10560338939761832, 0.2048760772727075, 0.018484641221307573, -0.092925099922078, -0.37650985323957037, -0.2825967896552313, -0.07543655307520003, 0.1386042129070986, -0.18178130677413373, -0.20342765597715265, 0.3440217220091394, 0.12450786644504183, 0.12455859310215428, 0.0072120592230930924, 0.13191979236546017, 0.15757919783659635, 0.05515263742944669, 0.0374085796730859, 0.19836863467381113, 0.23181586010780716, 0.03282799878867254, -0.1689033836093066, 0.09478617189008565, 0.23971336454685246]
|
707.1362
|
Pareto Optima of Multicriteria Integer Linear Programs
|
We settle the computational complexity of fundamental questions related to
multicriteria integer linear programs, when the dimensions of the strategy
space and of the outcome space are considered fixed constants. In particular we
construct:
1. polynomial-time algorithms to exactly determine the number of Pareto
optima and Pareto strategies;
2. a polynomial-space polynomial-delay prescribed-order enumeration algorithm
for arbitrary projections of the Pareto set;
3. an algorithm to minimize the distance of a Pareto optimum from a
prescribed comparison point with respect to arbitrary polyhedral norms;
4. a fully polynomial-time approximation scheme for the problem of minimizing
the distance of a Pareto optimum from a prescribed comparison point with
respect to the Euclidean norm.
|
math.OC
|
we settle the computational complexity of fundamental questions related to multicriteria integer linear programs when the dimensions of the strategy space and of the outcome space are considered fixed constants in particular we construct 1 polynomialtime algorithms to exactly determine the number of pareto optima and pareto strategies 2 a polynomialspace polynomialdelay prescribedorder enumeration algorithm for arbitrary projections of the pareto set 3 an algorithm to minimize the distance of a pareto optimum from a prescribed comparison point with respect to arbitrary polyhedral norms 4 a fully polynomialtime approximation scheme for the problem of minimizing the distance of a pareto optimum from a prescribed comparison point with respect to the euclidean norm
|
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|
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|
707.1363
|
A Compact Approximate Solution to the Kondo Problem
|
A compact approximate groundstate of the Kondo problem is introduced. It
consists of four Slater states. The spin up and down states of the localized
d-impurity are paired with two localized s-electron states of opposite spin.
All the remaining s-electron states are rearranged forming two new optimal
orthonormal bases. Through a rotation in Hilbert space the two localized states
(and the rest of the bases) are optimized by minimizing the energy expectation
value. The ground-state energy E and the singlet-triplet excitation energy dE
are calculated numerically. Although the two energies can differ by a factor of
1000, they are obtained simultaneously. The singlet-triplet excitation energy
dE is proportional to exp[-1/2Jg] and quite close to the Kondo temperature
k_BT_K. The cases for anti-ferromagnetic (J>0) and ferromagnetic (J<0) coupling
are investigated.
|
cond-mat.mes-hall cond-mat.str-el
|
a compact approximate groundstate of the kondo problem is introduced it consists of four slater states the spin up and down states of the localized dimpurity are paired with two localized selectron states of opposite spin all the remaining selectron states are rearranged forming two new optimal orthonormal bases through a rotation in hilbert space the two localized states and the rest of the bases are optimized by minimizing the energy expectation value the groundstate energy e and the singlettriplet excitation energy de are calculated numerically although the two energies can differ by a factor of 1000 they are obtained simultaneously the singlettriplet excitation energy de is proportional to exp12jg and quite close to the kondo temperature k_bt_k the cases for antiferromagnetic j0 and ferromagnetic j0 coupling are investigated
|
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|
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|
707.1364
|
Report on Generic Case Complexity
|
This article is a short introduction to generic case complexity, which is a
recently developed way of measuring the difficulty of a computational problem
while ignoring atypical behavior on a small set of inputs. Generic case
complexity applies to both recursively solvable and recursively unsolvable
problems.
|
cs.CC
|
this article is a short introduction to generic case complexity which is a recently developed way of measuring the difficulty of a computational problem while ignoring atypical behavior on a small set of inputs generic case complexity applies to both recursively solvable and recursively unsolvable problems
|
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|
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|
707.1365
|
Conditions for Generic Initial Ideals to be Almost Reverse Lexicographic
|
Let $I$ be a homogeneous Artinian ideal in a polynomial ring
$R=k[x_1,...,x_n]$ over a field $k$ of characteristic 0. We study an equivalent
condition for the generic initial ideal $\gin(I)$ with respect to reverse
lexicographic order to be almost reverse lexicographic. As a result, we show
that Moreno-Socias conjecture implies Fr\"{o}berg conjecture. And for the case
$\Codim I \le 3$, we show that $R/I$ has the strong Lefschetz property if and
only if $\gin(I)$ is almost reverse lexicographic. Finally for a monomial
complete intersection Artinian ideal $I=(x_1^{d_1},...,x_n^{d_n})$, we prove
that $\gin(I)$ is almost reverse lexicographic if $d_i > \sum_{j=1}^{i-1} d_j -
i + 1$ for each $i \ge 4$. Using this, we give a positive partial answer to
Moreno-Socias conjecture, and to Fr\"{o}berg conjecture.
|
math.AC
|
let i be a homogeneous artinian ideal in a polynomial ring rkx_1x_n over a field k of characteristic 0 we study an equivalent condition for the generic initial ideal gini with respect to reverse lexicographic order to be almost reverse lexicographic as a result we show that morenosocias conjecture implies froberg conjecture and for the case codim i le 3 we show that ri has the strong lefschetz property if and only if gini is almost reverse lexicographic finally for a monomial complete intersection artinian ideal ix_1d_1x_nd_n we prove that gini is almost reverse lexicographic if d_i sum_j1i1 d_j i 1 for each i ge 4 using this we give a positive partial answer to morenosocias conjecture and to froberg conjecture
|
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|
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|
707.1366
|
Neutron Scattering Study of the Localized Mode in the beta-Pyrochlore
Superconductors AOs2O6
|
Inelastic neutron scattering and neutron powder diffraction experiments were
carried out to investigate a localized mode, proposed from various bulk
measurements, in the beta-pyrochlore AOs2O6 (A=K, Rb, Cs). The localized mode
was identified in all the three compounds as well as another beta-pyrochlore
CsW2O6. The anharmonicity of the mode is weak in RbOs2O6 and CsOs2O6 but
substantial in KOs2O6.
|
cond-mat.mtrl-sci cond-mat.supr-con
|
inelastic neutron scattering and neutron powder diffraction experiments were carried out to investigate a localized mode proposed from various bulk measurements in the betapyrochlore aos2o6 ak rb cs the localized mode was identified in all the three compounds as well as another betapyrochlore csw2o6 the anharmonicity of the mode is weak in rbos2o6 and csos2o6 but substantial in kos2o6
|
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|
[-0.11940930546577072, 0.20744340744469378, -0.02777960726012618, 0.020663715435302484, -0.018307163182772316, -0.12318114098950715, 0.12340694089751628, 0.3497493352930425, -0.2338171379494686, -0.232332976329756, 0.0603360490384117, -0.3874303774624053, -0.0748654310552056, 0.18262100174738946, 0.07076985883414035, 0.05892819174865292, -0.003781042614225614, 0.01033431357088483, -0.06417118863723541, -0.17868119197645052, 0.2304806123187734, 0.0716737944680124, 0.3315158985176329, 0.06590551615818956, 0.0005904015990258274, -0.012943421624664027, 0.0383096440789937, 0.016370990566151628, -0.09791483903714156, -0.018296266756004702, 0.31129646855327536, -0.005333365304237705, 0.15388919488858369, -0.4472830284513154, -0.23239090258918577, 0.0007884075857256934, 0.16048112912971715, 0.0984781876332679, -0.07581670332889436, -0.26426444426810336, 0.03914467272964322, -0.11399956066477096, -0.08333163152811891, -0.1424340078670342, -0.04616291064895311, 0.0023805323467289996, -0.23982369388311597, 0.09325602192676358, 0.04410870652053884, 0.09809385031714278, -0.14013711296384995, -0.18256448368222247, -0.04263813201519582, -0.002902336229207152, 0.06528773445683389, 0.04463345225568924, 0.12026550156711521, -0.06347731748690545, -0.0901613122373188, 0.359149661735963, -0.09479045036043655, -0.027184439949312453, 0.1846808241325099, -0.22083559791731128, -0.11695180869645487, 0.17908556128741573, 0.06415634109812268, 0.16691837232496778, -0.17685546665018329, 0.028483023138922023, -0.06674911856840728, 0.1973989036060491, 0.12766008162318523, 0.05825239971824685, 0.191989427448203, 0.19801022319154718, -0.10113734497799207, 0.15228230727962772, -0.2016898413520243, 0.008953480223604178, -0.18074352014809847, -0.15827016456652496, -0.16516127539019226, -0.003714054574305981, -0.010052776863399924, -0.12844232981235293, 0.29464764066900806, 0.03694602348683876, 0.15518648698294568, -0.1533774407106941, 0.22646321012575368, 0.0546036303078882, 0.08883026533097155, -0.019576722022019707, 0.346396601474765, 0.20131276549881924, 0.12287102739910706, -0.3323173180609247, 0.027008920761961805, -0.022315296170822646]
|
707.1367
|
Generation and Measurement of Non Equilibrium Spin Currents in Two
Terminal Systems
|
Generation and measurement of non-equilibrium spin current in two probe
configuration is discussed. It is argued and shown that spin current can be
generated in two terminal non-magnetic system. Further it is shown that these
spin currents can be measured via conductance in two probe configuration when
the detector probe is ferromagnetic.
|
cond-mat.mes-hall
|
generation and measurement of nonequilibrium spin current in two probe configuration is discussed it is argued and shown that spin current can be generated in two terminal nonmagnetic system further it is shown that these spin currents can be measured via conductance in two probe configuration when the detector probe is ferromagnetic
|
[['generation', 'and', 'measurement', 'of', 'nonequilibrium', 'spin', 'current', 'in', 'two', 'probe', 'configuration', 'is', 'discussed', 'it', 'is', 'argued', 'and', 'shown', 'that', 'spin', 'current', 'can', 'be', 'generated', 'in', 'two', 'terminal', 'nonmagnetic', 'system', 'further', 'it', 'is', 'shown', 'that', 'these', 'spin', 'currents', 'can', 'be', 'measured', 'via', 'conductance', 'in', 'two', 'probe', 'configuration', 'when', 'the', 'detector', 'probe', 'is', 'ferromagnetic']]
|
[-0.15495076227055576, 0.25704350695014, -0.05435133686002631, 0.05155505726221376, 0.0113259288482368, -0.1956298909544085, -0.08994867151621012, 0.40830736700445414, -0.2944040023542654, -0.2929447224506965, 0.06051601380190382, -0.2657557923096017, -0.10547110924604707, 0.25702414040614924, 0.05068340455181897, -0.010084313438990368, 0.03381913123079217, 0.009749295991451409, -0.020697079016827047, -0.21217732223270175, 0.2642720649377085, -0.02834647696895095, 0.32930058219398445, 0.10867100529587613, 0.07456870111995019, -0.028480819063798454, 0.0457532019712604, 0.10522287571802735, -0.0525078596113487, -0.03211243235721038, 0.2681362210558011, 0.02862446803975707, 0.12449338444723533, -0.45548735867039514, -0.16211083604810902, 0.05645910761534022, 0.1437480900517235, 0.1715820692748261, -0.03628579835192515, -0.2822735400583882, 0.08675213072162408, -0.19830195942463782, -0.10735746800827865, -0.11776441428810358, -0.01975949326207718, -0.024332049016195994, -0.28143486047450167, 0.010051443080346171, 0.06308386148884892, -0.04247904095861416, -0.01979624894626725, -0.07203137866319874, -0.12764488322696146, 0.047133752577512775, 0.0314119490257536, 0.10465611756528513, 0.18611639542751407, -0.10300286021083593, -0.14019342282643685, 0.2767452887760905, -0.05897662425503278, -0.231539759820757, 0.17972001045619926, -0.24044189627210683, -0.06269850904265276, 0.06832185314180186, 0.06148229962071547, 0.08681281250364219, -0.25083881571509453, 0.021728816784721296, 0.005607365478331653, 0.15134590577620727, 0.048244047238348194, 0.059464210483173914, 0.3163368485939617, 0.2309094707665141, 0.1117011215716887, 0.1419524312525307, -0.150911176792131, -0.09905435463700157, -0.2134116997028916, -0.17641192907467484, -0.26050712590893876, 0.12102646148727778, 0.008710109503926314, -0.0609060631776139, 0.3993257387326314, 0.21056010568729386, 0.15100653233149877, -0.12056856473477987, 0.30897151678800583, 0.16456294059753418, 0.06050308149021406, 9.23019117460801e-05, 0.33359810201307905, 0.17319847987248346, 0.058478034602907986, -0.27411995093839675, 0.10653023150427124, -0.006552148489460636]
|
707.1368
|
Generalized Bounded Variation and Inserting point masses
|
Let $d\mu$ be a probability measure on the unit circle and $d\nu$ be the
measure formed by adding a pure point to $d\mu$. We give a simple formula for
the Verblunsky coefficients of $d\nu$ based on a result of Simon.
Then we consider $d\mu_0$, a probability measure on the unit circle with
$\ell^2$ Verblunsky coefficients $(\alpha_n (d\mu_0))_{n=0}^{\infty}$ of
bounded variation. We insert $m$ pure points to $d\mu$, rescale, and form the
probability measure $d\mu_m$. We use the formula above to prove that the
Verblunsky coefficients of $d\mu_m$ are in the form $\alpha_n(d\mu_0) +
\sum_{j=1}^m \frac{\ol{z_j}^{n} c_j}{n} + E_n$, where the $c_j$'s are constants
of norm 1 independent of the weights of the pure points and independent of $n$;
the error term $E_n$ is in the order of $o(1/n)$. Furthermore, we prove that
$d\mu_m$ is of $(m+1)$-generalized bounded variation - a notion that we shall
introduce in the paper. Then we use this fact to prove that $\lim_{n \to
\infty} \vp_n^*(z, d\mu_m)$ is continuous and is equal to $D(z, d\mu_m)^{-1}$
away from the pure points.
|
math.CA
|
let dmu be a probability measure on the unit circle and dnu be the measure formed by adding a pure point to dmu we give a simple formula for the verblunsky coefficients of dnu based on a result of simon then we consider dmu_0 a probability measure on the unit circle with ell2 verblunsky coefficients alpha_n dmu_0_n0infty of bounded variation we insert m pure points to dmu rescale and form the probability measure dmu_m we use the formula above to prove that the verblunsky coefficients of dmu_m are in the form alpha_ndmu_0 sum_j1m fracolz_jn c_jn e_n where the c_js are constants of norm 1 independent of the weights of the pure points and independent of n the error term e_n is in the order of o1n furthermore we prove that dmu_m is of m1generalized bounded variation a notion that we shall introduce in the paper then we use this fact to prove that lim_n to infty vp_nz dmu_m is continuous and is equal to dz dmu_m1 away from the pure points
|
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|
[-0.13871264495983995, 0.12824673379308607, -0.07012535074023685, 0.029909968809681758, -0.02673035575808283, -0.11926953564826513, 0.09090700133295124, 0.3475295541796582, -0.3014862560238575, -0.16398281995435618, 0.10349071655276751, -0.33324641240703545, -0.13807179117032492, 0.1405032975977698, -0.11161904003288299, 0.02823455134075295, 0.004906671071722189, 0.10993972548106513, -0.06107190791288951, -0.2426183376906931, 0.3424386789142354, -0.025064183319090334, 0.1796199656348744, 0.03619504645552509, 0.106696752271225, -0.020964573733108633, -0.002058696430290769, -0.03939463228681496, -0.22001859948179753, 0.10946624466515163, 0.19231850203652323, 0.11100805854984414, 0.2580372829424457, -0.35720034175055343, -0.10766761647423077, 0.19822240032061386, 0.11963970179561, -0.01906357699450951, 0.021042686734959893, -0.22011110890496727, 0.14775606044968076, -0.12783878866834508, -0.16031255465189417, -0.062089997743673485, 0.06694745277254585, 0.055465787143497924, -0.3608226974729014, 0.06732531627240174, 0.10032814316040167, 0.027187254649809808, -0.05290902057945431, -0.13344007085700252, 0.001201764164789597, 0.09974164155774687, 0.03545908521263763, 0.10255556746723096, 0.07598484207824605, -0.016065229426075252, -0.0790691074166744, 0.3395418656098605, -0.13181960913338384, -0.2813627734963148, 0.08730069684304663, -0.2157427161343487, -0.1354669484686952, 0.060616050612615664, 0.138762983989879, 0.145320610648901, -0.07932838895272441, 0.1701542921778546, -0.08347081478136631, 0.16328900993713807, 0.11304469012363923, 0.02466681753599479, 0.08975950100579144, 0.03959130870315469, 0.12859640568151978, 0.150431223497926, -0.06931802630281658, -0.049434195318333575, -0.3561108384532797, -0.18611034092584774, -0.22728632550195224, 0.14115015984130053, -0.11448221775078918, -0.17224990129114615, 0.3161540749608511, 0.09800929847556206, 0.25614173231543574, 0.1437965059207261, 0.20370856206292756, 0.19879105402602373, 0.017564359563831355, 0.06747671398134228, 0.12106435159164156, 0.14486335430214284, 0.014965037498880247, -0.16702175067103486, 0.013439666068444222, 0.1485872074761328]
|
707.1369
|
Impact of Locally Suppressed Wave sources on helioseismic travel times
|
Wave travel-time shifts in the vicinity of sunspots are typically interpreted
as arising predominantly from magnetic fields, flows, and local changes in
sound speed. We show here that the suppression of granulation related wave
sources in a sunspot can also contribute significantly to these travel-time
shifts, and in some cases, an asymmetry between in and outgoing wave travel
times. The tight connection between the physical interpretation of travel times
and source-distribution homogeneity is confirmed. Statistically significant
travel-time shifts are recovered upon numerically simulating wave propagation
in the presence of a localized decrease in source strength. We also demonstrate
that these time shifts are relatively sensitive to the modal damping rates;
thus we are only able to place bounds on the magnitude of this effect. We see a
systematic reduction of 10-15 seconds in $p$-mode mean travel times at short
distances ($\sim 6.2$ Mm) that could be misinterpreted as arising from a
shallow (thickness of 1.5 Mm) increase ($\sim$ 4%) in the sound speed. At
larger travel distances ($\sim 24$ Mm) a 6-13 s difference between the ingoing
and outgoing wave travel times is observed; this could mistakenly be
interpreted as being caused by flows.
|
astro-ph
|
wave traveltime shifts in the vicinity of sunspots are typically interpreted as arising predominantly from magnetic fields flows and local changes in sound speed we show here that the suppression of granulation related wave sources in a sunspot can also contribute significantly to these traveltime shifts and in some cases an asymmetry between in and outgoing wave travel times the tight connection between the physical interpretation of travel times and sourcedistribution homogeneity is confirmed statistically significant traveltime shifts are recovered upon numerically simulating wave propagation in the presence of a localized decrease in source strength we also demonstrate that these time shifts are relatively sensitive to the modal damping rates thus we are only able to place bounds on the magnitude of this effect we see a systematic reduction of 1015 seconds in pmode mean travel times at short distances sim 62 mm that could be misinterpreted as arising from a shallow thickness of 15 mm increase sim 4 in the sound speed at larger travel distances sim 24 mm a 613 s difference between the ingoing and outgoing wave travel times is observed this could mistakenly be interpreted as being caused by flows
|
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|
[-0.149337926510374, 0.2325924751886385, -0.025969518633279468, 0.10672164324506962, -0.040476377708403094, -0.03842910977051511, 0.04856426343611331, 0.4103038873417313, -0.27454839940448267, -0.34494848280102786, 0.08567171722832691, -0.3053526440249283, -0.09559663821996787, 0.23171392475843544, -0.025699826257503614, -0.021632725537580878, 0.04579018991877243, 0.017329394549536737, -0.08687529037224004, -0.15984483788494463, 0.19569799791867096, 0.054624774964970244, 0.23407722811197737, 0.07385332367040333, 0.025883924836109493, -0.07763353706979303, -0.05057015249395859, 0.06020426152007969, -0.07660663351255989, 0.053243019504430694, 0.2314979445292986, 0.0883792052528015, 0.2206890404039971, -0.46289158503433275, -0.23855931325839747, 0.08162239727134686, 0.17508983623883034, 0.10973421867859641, 0.004915470972782667, -0.3016484792505927, 0.06689787969666346, -0.10273048732251198, -0.1418063232935772, 0.03494664055290463, 0.0881699347661065, 0.02466481596043266, -0.21109487938844246, 0.18635971869017515, 0.0064983652606654735, 0.08346473320988683, -0.04634220211391477, -0.09260270363347209, -0.0402163537665526, 0.10173105782409406, 0.10642369845676974, 0.07852738780341077, 0.12632567069247133, -0.0718071773561403, -0.05668782375733624, 0.3765158341483363, -0.1144389081945392, -0.13349284190766592, 0.17752515376724032, -0.16868781673144717, -0.03737683796174245, 0.19242276473409964, 0.22906605098300029, 0.07580687854694772, -0.08953440528443816, -0.044072860119915014, 0.015728929500265044, 0.19950176346287074, 0.18657964760427956, 0.05625636796249858, 0.224310538364777, 0.0944111705781805, 0.06965959335887235, 0.07442184134146411, -0.186982975813676, -0.047922496668212695, -0.3214011187460081, -0.10224191414028251, -0.11515143144287053, 0.08098657581696728, -0.11433881506107571, -0.10307842460635885, 0.37052063875797886, 0.17857635955427595, 0.21470499114215452, 0.053077970480623564, 0.2760919559206524, 0.14894568960971338, 0.08887331995816293, 0.11737190093121304, 0.31659535951070955, 0.13891414102948624, 0.10795171571644555, -0.21152619715572524, 0.07898838093764887, -0.009515926787156823]
|
707.137
|
Neutral-current Neutrino-nucleus Scattering in Quasielastic Region
|
The neutral-current neutrino-nucleus scattering is calculated through the
neutrino-induced knocked-out nucleon process in the quasielastic region by
using a relativistic single particle model for the bound and continuum states.
The incident energy range between 500 MeV and 1.0 GeV is used for the neutrino
(antineutrino) scattering on ^{12}C target nucleus. The effects of the final
state interaction of the knocked-out nucleon are studied not only on the cross
section but also on the asymmetry due to the difference between neutrinos and
antineutrinos, within a relativistic optical potential. We also investigate the
sensitivity of the strange quark contents in the nucleon on the asymmetry.
|
nucl-th
|
the neutralcurrent neutrinonucleus scattering is calculated through the neutrinoinduced knockedout nucleon process in the quasielastic region by using a relativistic single particle model for the bound and continuum states the incident energy range between 500 mev and 10 gev is used for the neutrino antineutrino scattering on 12c target nucleus the effects of the final state interaction of the knockedout nucleon are studied not only on the cross section but also on the asymmetry due to the difference between neutrinos and antineutrinos within a relativistic optical potential we also investigate the sensitivity of the strange quark contents in the nucleon on the asymmetry
|
[['the', 'neutralcurrent', 'neutrinonucleus', 'scattering', 'is', 'calculated', 'through', 'the', 'neutrinoinduced', 'knockedout', 'nucleon', 'process', 'in', 'the', 'quasielastic', 'region', 'by', 'using', 'a', 'relativistic', 'single', 'particle', 'model', 'for', 'the', 'bound', 'and', 'continuum', 'states', 'the', 'incident', 'energy', 'range', 'between', '500', 'mev', 'and', '10', 'gev', 'is', 'used', 'for', 'the', 'neutrino', 'antineutrino', 'scattering', 'on', '12c', 'target', 'nucleus', 'the', 'effects', 'of', 'the', 'final', 'state', 'interaction', 'of', 'the', 'knockedout', 'nucleon', 'are', 'studied', 'not', 'only', 'on', 'the', 'cross', 'section', 'but', 'also', 'on', 'the', 'asymmetry', 'due', 'to', 'the', 'difference', 'between', 'neutrinos', 'and', 'antineutrinos', 'within', 'a', 'relativistic', 'optical', 'potential', 'we', 'also', 'investigate', 'the', 'sensitivity', 'of', 'the', 'strange', 'quark', 'contents', 'in', 'the', 'nucleon', 'on', 'the', 'asymmetry']]
|
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|
707.1371
|
Accesing the Gluon Polarization through the Double Longitudinal Spin
Asymmetrie in Charged Pion Production at PHENIX
|
With proton-proton collisions at PHENIX a variety of direct channels are used
to probe the proton substructure. Of the many channels available at PHENIX,
charged pion measurements are expected to have sensitivity of Delta g and thus
help in the global analysis that will constrain it. We present a measurement of
mid-rapidity charged pion production double longitudinal spin asymmetries (ALL)
at the pT range of 5-10 GeV/c at collision energies of sqrt(s) = 200 GeV.
|
hep-ex
|
with protonproton collisions at phenix a variety of direct channels are used to probe the proton substructure of the many channels available at phenix charged pion measurements are expected to have sensitivity of delta g and thus help in the global analysis that will constrain it we present a measurement of midrapidity charged pion production double longitudinal spin asymmetries all at the pt range of 510 gevc at collision energies of sqrts 200 gev
|
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|
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|
707.1372
|
Computability Closure: Ten Years Later
|
The notion of computability closure has been introduced for proving the
termination of higher-order rewriting with first-order matching by Jean-Pierre
Jouannaud and Mitsuhiro Okada in a 1997 draft which later served as a basis for
the author's PhD. In this paper, we show how this notion can also be used for
dealing with beta-normalized rewriting with matching modulo beta-eta (on
patterns \`a la Miller), rewriting with matching modulo some equational theory,
and higher-order data types (types with constructors having functional
recursive arguments). Finally, we show how the computability closure can easily
be turned into a reduction ordering which, in the higher-order case, contains
Jean-Pierre Jouannaud and Albert Rubio's higher-order recursive path ordering
and, in the first-order case, is equal to the usual first-order recursive path
ordering.
|
cs.LO
|
the notion of computability closure has been introduced for proving the termination of higherorder rewriting with firstorder matching by jeanpierre jouannaud and mitsuhiro okada in a 1997 draft which later served as a basis for the authors phd in this paper we show how this notion can also be used for dealing with betanormalized rewriting with matching modulo betaeta on patterns a la miller rewriting with matching modulo some equational theory and higherorder data types types with constructors having functional recursive arguments finally we show how the computability closure can easily be turned into a reduction ordering which in the higherorder case contains jeanpierre jouannaud and albert rubios higherorder recursive path ordering and in the firstorder case is equal to the usual firstorder recursive path ordering
|
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|
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|
707.1373
|
Polarized Parton Densities and Higher Twist in the Light of the Recent
CLAS and COMPASS data
|
The impact of the recent very precise CLAS and COMPASS g_1/F_1 data on
polarized parton densities and higher twist effects is discussed. We
demonstrate that the low Q^2 CLAS data improve essentially our knowledge of
higher twist corrections to the spin structure function g1, while the large Q^2
COMPASS data influence mainly the strange quark and gluon polarizations which
slightly decrease. We find also that the present inclusive DIS data cannot rule
out a negative polarized and changing in sign gluon densities.
|
hep-ph hep-ex
|
the impact of the recent very precise clas and compass g_1f_1 data on polarized parton densities and higher twist effects is discussed we demonstrate that the low q2 clas data improve essentially our knowledge of higher twist corrections to the spin structure function g1 while the large q2 compass data influence mainly the strange quark and gluon polarizations which slightly decrease we find also that the present inclusive dis data cannot rule out a negative polarized and changing in sign gluon densities
|
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|
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|
707.1374
|
The quantummechanical wave equations from a relativistic viewpoint
|
A derivation is presented of the quantummechanical wave equations based upon
the Equity Principle of Einstein's General Relativity Theory. This is believed
to be more generic than the common derivations based upon Einstein's energy
relationship for moving particles. It is shown that Schrodinger's Equation, if
properly formulated, is relativisticly covariant. This makes the critisized
Klein-Gordon Equation for spinless massparticles obsolete. Therefore Dirac's
Equation is presented from a different viewpoint and it is shown that the
relativistic covariance of Schrodinger's Equation gives a natural explanation
for the dual energy outcome of Dirac's derivation and for the nature of
antiparticles. The propagation of wave functions in an energy field is studied
in terms of propagation along geodesic lines in curved space-time, resulting in
an equivalent formulation as with Feynman's path integral. It is shown that
Maxwell's wave equation fits in the developed framework as the massless limit
of moving particles. Finally the physical appearance of electrons is discussed
including a quantitative calculation of the jitter phenomenon of a free moving
electron.
|
physics.gen-ph
|
a derivation is presented of the quantummechanical wave equations based upon the equity principle of einsteins general relativity theory this is believed to be more generic than the common derivations based upon einsteins energy relationship for moving particles it is shown that schrodingers equation if properly formulated is relativisticly covariant this makes the critisized kleingordon equation for spinless massparticles obsolete therefore diracs equation is presented from a different viewpoint and it is shown that the relativistic covariance of schrodingers equation gives a natural explanation for the dual energy outcome of diracs derivation and for the nature of antiparticles the propagation of wave functions in an energy field is studied in terms of propagation along geodesic lines in curved spacetime resulting in an equivalent formulation as with feynmans path integral it is shown that maxwells wave equation fits in the developed framework as the massless limit of moving particles finally the physical appearance of electrons is discussed including a quantitative calculation of the jitter phenomenon of a free moving electron
|
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|
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|
707.1375
|
Szego kernels, Toeplitz operators, and equivariant fixed point formulae
|
Let $\gamma$ be an automorphism of a polarized complex projective manifold
$(M,L)$. Then $\gamma$ induces an automorphism $\gamma_k$ of the space of
global holomorphic sections of the $k$-th tensor power of $L$, for every
$k=1,2,...$; for $k\gg 0$, the Lefschetz fixed point formula expresses the
trace of $\gamma_k$ in terms of fixed point data. More generally, one may
consider the composition of $\gamma_k$ with the Toeplitz operator associated to
some smooth function on $M$. Still more generally, in the presence of the
compatible action of a compact and connected Lie group preserving
$(M,L,\gamma)$, one may consider induced linear maps on the equivariant
summands associated to the irreducible representations of $G$. In this paper,
under familiar assumptions in the theory of symplectic reductions, we show that
the traces of these maps admit an asymptotic expansion as $k\to +\infty$, and
compute its leading term.
|
math.AG math.CV math.SG
|
let gamma be an automorphism of a polarized complex projective manifold ml then gamma induces an automorphism gamma_k of the space of global holomorphic sections of the kth tensor power of l for every k12 for kgg 0 the lefschetz fixed point formula expresses the trace of gamma_k in terms of fixed point data more generally one may consider the composition of gamma_k with the toeplitz operator associated to some smooth function on m still more generally in the presence of the compatible action of a compact and connected lie group preserving mlgamma one may consider induced linear maps on the equivariant summands associated to the irreducible representations of g in this paper under familiar assumptions in the theory of symplectic reductions we show that the traces of these maps admit an asymptotic expansion as kto infty and compute its leading term
|
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|
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|
707.1376
|
Can Phantom-Dominated Universe Decelerate Also in Future ?
|
Here Randall-Sundrum brane-gravity models of the homogeneous and flat
universe, dominated by phantom fluid, is considered. It is noted that
brane-gravity corrections effect the behaviour of phantom fluid in RS-II model
(where brane-tension $\lambda$ is negative) drastically. It is interesting to
see that, phantom fluid violates the weak energy condition (WEC) till energy
density $\rho < \lambda$, but when phantom energy density $\rho$ grows more,
the effective equation of state does not violate WEC. Moreover, with increasing
phantom energy density, a stage comes when even strong energy condition is not
violated due to effect of these corrections. Also expansion stops, when $\rho =
2 \lambda$. As a consequence, RS-II phantom universe accelerates upto a finite
time explaining the present cosmic acceleration, but it decelerates later.Thus,
RS-II phantom universe is singularity-free. In the case of RS-I model, where
$\lambda$ is positive, characteristics of phantom fluid is not suppressed by
brane-corrections and phantom universe accelerates ending up in big-rip
singularity in finite future time.
|
gr-qc
|
here randallsundrum branegravity models of the homogeneous and flat universe dominated by phantom fluid is considered it is noted that branegravity corrections effect the behaviour of phantom fluid in rsii model where branetension lambda is negative drastically it is interesting to see that phantom fluid violates the weak energy condition wec till energy density rho lambda but when phantom energy density rho grows more the effective equation of state does not violate wec moreover with increasing phantom energy density a stage comes when even strong energy condition is not violated due to effect of these corrections also expansion stops when rho 2 lambda as a consequence rsii phantom universe accelerates upto a finite time explaining the present cosmic acceleration but it decelerates laterthus rsii phantom universe is singularityfree in the case of rsi model where lambda is positive characteristics of phantom fluid is not suppressed by branecorrections and phantom universe accelerates ending up in bigrip singularity in finite future time
|
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|
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|
707.1377
|
On the Potential of Large Ring Lasers
|
We describe a new ring laser with area A = 833 m^2 and update performance
statistics for several such machines. Anandan & Chaio 1982 judged ring lasers
inferior to matter interferometers as possible detectors of gravitational
waves. However, we note that geophysically interesting results have been
obtained from large ring lasers and that there is still a lot of room for
improvements.
|
physics.optics physics.gen-ph
|
we describe a new ring laser with area a 833 m2 and update performance statistics for several such machines anandan chaio 1982 judged ring lasers inferior to matter interferometers as possible detectors of gravitational waves however we note that geophysically interesting results have been obtained from large ring lasers and that there is still a lot of room for improvements
|
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|
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|
707.1378
|
Pileup subtraction using jet areas
|
One of the major challenges for the LHC will be to extract precise
information from hadronic final states in the presence of the large number of
additional soft pp collisions, pileup, that occur simultaneously with any hard
interaction in high luminosity runs. We propose a novel technique, based on jet
areas, that provides jet-by-jet corrections for pileup and underlying-event
effects. It is data driven, does not depend on Monte Carlo modelling and can be
used with any jet algorithm for which a jet area can be sensibly defined. We
illustrate its effectiveness for some key processes and find that it can be
applied also in the context of the Tevatron, low-luminosity LHC and LHC
heavy-ion collisions.
|
hep-ph hep-ex
|
one of the major challenges for the lhc will be to extract precise information from hadronic final states in the presence of the large number of additional soft pp collisions pileup that occur simultaneously with any hard interaction in high luminosity runs we propose a novel technique based on jet areas that provides jetbyjet corrections for pileup and underlyingevent effects it is data driven does not depend on monte carlo modelling and can be used with any jet algorithm for which a jet area can be sensibly defined we illustrate its effectiveness for some key processes and find that it can be applied also in the context of the tevatron lowluminosity lhc and lhc heavyion collisions
|
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|
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|
707.1379
|
Streamwise evolution of the entrainment in a steady two-dimensional
bluff-body wake
|
This paper has been withdrawn by the authors, as it has been rejected in
October 2007.
|
physics.flu-dyn
|
this paper has been withdrawn by the authors as it has been rejected in october 2007
|
[['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'authors', 'as', 'it', 'has', 'been', 'rejected', 'in', 'october', '2007']]
|
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|
707.138
|
Low-mass lithium-rich AGB stars in the Galactic bulge: evidence for Cool
Bottom Processing?
|
Context: The stellar production of the light element lithium is still a
matter of debate.
Aims: We report the detection of low-mass, Li-rich Asymptotic Giant Branch
(AGB) stars located in the Galactic bulge.
Methods: A homogeneous and well-selected sample of low mass, oxygen-rich AGB
stars in the Galactic bulge has been searched for the absorption lines of Li.
Using spectral synthesis techniques, we determine from high resolution UVES/VLT
spectra the Li abundance in four out of 27 sample stars, and an upper limit for
the remaining stars.
Results: Two stars in our sample have a solar Li abundance or above; these
stars seem to be a novelty, since they do not show any s-element enhancement.
Two more stars have a Li abundance slightly below solar; these stars do show
s-element enhancement in their spectra. Different scenarios which lead to an
increased Li surface abundance in AGB stars are discussed.
Conclusions: Of the different enrichment scenarios presented, Cool Bottom
Processing (CBP) is the most likely one for the Li-rich objects identified
here. Self-enrichment by Hot Bottom Burning (HBB) seems very unlikely as all
Li-rich stars are below the HBB mass limit. Also, the ingestion of a low mass
companion into the stars' envelope is unlikely because the associated
additional effects are lacking. Mass transfer from a former massive binary
companion is a possible scenario, if the companion produced little s-process
elements. A simple theoretical estimation for the Li abundance due to CBP is
presented and compared to the observed values.
|
astro-ph
|
context the stellar production of the light element lithium is still a matter of debate aims we report the detection of lowmass lirich asymptotic giant branch agb stars located in the galactic bulge methods a homogeneous and wellselected sample of low mass oxygenrich agb stars in the galactic bulge has been searched for the absorption lines of li using spectral synthesis techniques we determine from high resolution uvesvlt spectra the li abundance in four out of 27 sample stars and an upper limit for the remaining stars results two stars in our sample have a solar li abundance or above these stars seem to be a novelty since they do not show any selement enhancement two more stars have a li abundance slightly below solar these stars do show selement enhancement in their spectra different scenarios which lead to an increased li surface abundance in agb stars are discussed conclusions of the different enrichment scenarios presented cool bottom processing cbp is the most likely one for the lirich objects identified here selfenrichment by hot bottom burning hbb seems very unlikely as all lirich stars are below the hbb mass limit also the ingestion of a low mass companion into the stars envelope is unlikely because the associated additional effects are lacking mass transfer from a former massive binary companion is a possible scenario if the companion produced little sprocess elements a simple theoretical estimation for the li abundance due to cbp is presented and compared to the observed values
|
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|
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|
707.1381
|
The characteristic quasi-polynomials of the arrangements of root systems
and mid-hyperplane arrangements
|
Let $q$ be a positive integer. In our recent paper, we proved that the
cardinality of the complement of an integral arrangement, after the modulo $q$
reduction, is a quasi-polynomial of $q$, which we call the characteristic
quasi-polynomial. In this paper, we study general properties of the
characteristic quasi-polynomial as well as discuss two important examples: the
arrangements of reflecting hyperplanes arising from irreducible root systems
and the mid-hyperplane arrangements. In the root system case, we present a
beautiful formula for the generating function of the characteristic
quasi-polynomial which has been essentially obtained by Ch. Athanasiadis and by
A. Blass and B. Sagan. On the other hand, it is hard to find the generating
function of the characteristic quasi-polynomial in the mid-hyperplane
arrangement case. We determine them when the dimension is less than six.
|
math.CO math.RT
|
let q be a positive integer in our recent paper we proved that the cardinality of the complement of an integral arrangement after the modulo q reduction is a quasipolynomial of q which we call the characteristic quasipolynomial in this paper we study general properties of the characteristic quasipolynomial as well as discuss two important examples the arrangements of reflecting hyperplanes arising from irreducible root systems and the midhyperplane arrangements in the root system case we present a beautiful formula for the generating function of the characteristic quasipolynomial which has been essentially obtained by ch athanasiadis and by a blass and b sagan on the other hand it is hard to find the generating function of the characteristic quasipolynomial in the midhyperplane arrangement case we determine them when the dimension is less than six
|
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|
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|
707.1382
|
Thermal Phase in Bubbling Geometries
|
This paper has been withdrawn by the author due to a crucial sign error in
equation 1.
|
hep-th
|
this paper has been withdrawn by the author due to a crucial sign error in equation 1
|
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|
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|
707.1383
|
Vortex rings in ferromagnets
|
Vortex ring solutions are presented for the Landau-Lifshitz equation, which
models the dynamics of a three-dimensional ferromagnet. The vortex rings
propagate at constant speed along their symmetry axis and are characterized by
the integer-valued Hopf charge. They are stable to axial perturbations, but it
is demonstrated that an easy axis anisotropy results in an instability to
perturbations which break the axial symmetry. The unstable mode corresponds to
a migration of spin flips around the vortex ring that leads to a pinching
instability and ultimately the collapse of the vortex ring. It is found that
this instability does not exist for an isotropic ferromagnet. Similarities
between vortex rings in ferromagnets and vortons in cosmology are noted.
|
cond-mat.mes-hall hep-ph hep-th
|
vortex ring solutions are presented for the landaulifshitz equation which models the dynamics of a threedimensional ferromagnet the vortex rings propagate at constant speed along their symmetry axis and are characterized by the integervalued hopf charge they are stable to axial perturbations but it is demonstrated that an easy axis anisotropy results in an instability to perturbations which break the axial symmetry the unstable mode corresponds to a migration of spin flips around the vortex ring that leads to a pinching instability and ultimately the collapse of the vortex ring it is found that this instability does not exist for an isotropic ferromagnet similarities between vortex rings in ferromagnets and vortons in cosmology are noted
|
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|
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|
707.1384
|
Asymptotically Optimal Estimator of the Parameter of Semi-Linear
Autoregression
|
The difference equations $\xi_{k}=af(\xi_{k-1})+\epsilon_{k}$, where
$(\epsilon_k)$ is a square integrable difference martingale, and the
differential equation ${\rm d}\xi=-af(\xi){\rm d}t+{\rm d}\eta$, where $\eta$
is a square integrable martingale, are considered. A family of estimators
depending, besides the sample size $n$ (or the observation period, if time is
continuous) on some random Lipschitz functions is constructed. Asymptotic
optimality of this estimators is investigated.
|
math.ST math.DS stat.AP stat.TH
|
the difference equations xi_kafxi_k1epsilon_k where epsilon_k is a square integrable difference martingale and the differential equation rm dxiafxirm dtrm deta where eta is a square integrable martingale are considered a family of estimators depending besides the sample size n or the observation period if time is continuous on some random lipschitz functions is constructed asymptotic optimality of this estimators is investigated
|
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|
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|
707.1385
|
Measurement of eta photoproduction on the proton from threshold to 1500
MeV
|
Beam asymmetry and differential cross section for the reaction gamma+p->eta+p
were measured from production threshold to 1500 MeV photon laboratory energy.
The two dominant neutral decay modes of the eta meson, eta->2g and eta->3pi0,
were analyzed. The full set of measurements is in good agreement with
previously published results. Our data were compared with three models. They
all fit satisfactorily the results but their respective resonance contributions
are quite different. The possible photoexcitation of a narrow state N(1670) was
investigated and no evidence was found.
|
nucl-ex
|
beam asymmetry and differential cross section for the reaction gammapetap were measured from production threshold to 1500 mev photon laboratory energy the two dominant neutral decay modes of the eta meson eta2g and eta3pi0 were analyzed the full set of measurements is in good agreement with previously published results our data were compared with three models they all fit satisfactorily the results but their respective resonance contributions are quite different the possible photoexcitation of a narrow state n1670 was investigated and no evidence was found
|
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|
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|
707.1386
|
Optical far-infrared properties of graphene monolayer and multilayers
|
We analyze the features of the graphene mono- and multilayer reflectance in
the far-infrared region as a function of frequency, temperature, and carrier
density taking the intraband conductance and the interband electron absorbtion
into account. The dispersion of plasmon mode of the multilayers is calculated
using Maxwell's equations with the influence of retardation included. At low
temperatures and high electron densities, the reflectance of multilayers as a
function of frequency has the sharp downfall and the subsequent deep well due
to the threshold of electron interband absorbtion.
|
cond-mat.soft cond-mat.mes-hall
|
we analyze the features of the graphene mono and multilayer reflectance in the farinfrared region as a function of frequency temperature and carrier density taking the intraband conductance and the interband electron absorbtion into account the dispersion of plasmon mode of the multilayers is calculated using maxwells equations with the influence of retardation included at low temperatures and high electron densities the reflectance of multilayers as a function of frequency has the sharp downfall and the subsequent deep well due to the threshold of electron interband absorbtion
|
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|
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|
707.1387
|
Equisingularity classes of birational projections of normal
singularities to a plane
|
Given a birational normal extension S of a two-dimensional local regular ring
R, we describe all the equisingularity types of the complete ideals J in R
whose blowing-up has some point at which the local ring is analytically
isomorphic to S.
The problem of classifying the germs of such normal surface singularities was
already posed by Spivakovsky (Ann. of Math. 1990). This problem has two parts:
discrete and continous. The continous part is to some extent equivalent to the
problem of the moduli of plane curve singularities, while the main result of
this paper solves completely the discrete part.
|
math.AG math.AC
|
given a birational normal extension s of a twodimensional local regular ring r we describe all the equisingularity types of the complete ideals j in r whose blowingup has some point at which the local ring is analytically isomorphic to s the problem of classifying the germs of such normal surface singularities was already posed by spivakovsky ann of math 1990 this problem has two parts discrete and continous the continous part is to some extent equivalent to the problem of the moduli of plane curve singularities while the main result of this paper solves completely the discrete part
|
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|
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|
707.1388
|
Three-Loop Chromomagnetic Interaction in HQET
|
We compute the three-loop QCD corrections to the quark chromomagnetic moment
and thus obtain the matching coefficient and the anomalous dimension of the
chromomagnetic interaction in HQET. As a byproduct we obtain the three-loop
corrections to the quark anomalous magnetic moment.
|
hep-ph
|
we compute the threeloop qcd corrections to the quark chromomagnetic moment and thus obtain the matching coefficient and the anomalous dimension of the chromomagnetic interaction in hqet as a byproduct we obtain the threeloop corrections to the quark anomalous magnetic moment
|
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|
[-0.09632424633132249, 0.24282832066642074, -0.06804855572196042, 0.19923758130838595, -0.10358414761494936, 0.01001305498250919, 0.0801543413644384, 0.2642013376987562, -0.15146802443011506, -0.26669931202763464, 0.008167373547444075, -0.33607065236968237, -0.06016950466011355, 0.05952597024180449, 0.1045372425010655, 0.08256486925955225, -0.03927669699144799, 0.11090298158275645, -0.10470692608959792, -0.2746899972965078, 0.349418405079987, -0.03111562873350411, 0.17155347805379367, 0.28903946094214916, 0.06681434401288265, -0.04725255800138523, -0.05300569979519379, -0.0746066632067285, -0.09668511077307346, 0.0707181777078204, 0.13075600492785025, -0.11680298118579496, 0.010020305289001, -0.33421553516896757, -0.060277856284434474, 0.07097803051697045, 0.16228985139055224, 0.19444594595853876, -0.015034325307280553, -0.24918846567956413, 0.058092814461305375, -0.2555651221730996, -0.20790293210799374, -0.2587403740006976, -0.024987531576033045, -0.12751584631822457, -0.4733867808813002, 0.08186622559115654, -0.03037837479354405, -0.016442874764523854, 0.007548440883799297, -0.2398507338834972, -0.00021868480778321987, 0.14798749760417948, 0.18215015394295134, 0.11681727375608028, 0.12317984540685557, -0.29993745957205936, -0.2170917522389351, 0.4254035378079407, -0.13309022352644584, -0.1444037213194661, 0.03850145765194079, -0.280763133815149, -0.14799903998742017, 0.07871799579844242, 0.19555248642658316, 0.11287544088483584, -0.19616325454014102, 0.16987393298697454, -0.0027011895733999045, 0.09230731377696119, 0.09909971592175525, 0.023342184335555564, 0.1764153152613378, 0.10202640553981793, 0.03530131595027519, 0.1582244287653849, -0.06901695295350581, -0.02694867099862455, -0.42668840616214565, -0.11111516341930483, -0.15344262087899374, 0.08358440364188538, -0.22840423193666515, -0.2811972939085624, 0.3727399203926325, 0.21872738221796548, 0.2028932045327454, 0.03390791496579967, 0.34794403321859313, 0.2049374746857211, 0.11727512164450274, 0.10858908995259099, 0.28926051317191703, 0.30143162090240455, 0.1495163489769145, -0.3971276618994591, -0.03435726492188689, 0.2872878311928816]
|
707.1389
|
The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule
weight
|
It is shown that quantum homogeneous coordinate rings of generalised flag
manifolds corresponding to minuscule weights, their Schubert varieties, big
cells, and determinantal varieties are AS-Cohen-Macaulay. The main ingredient
in the proof is the notion of a quantum graded algebra with a straightening
law, introduced by T.H. Lenagan and L. Rigal [J. Algebra 301 (2006), 670-702].
Using Stanley's Theorem it is moreover shown that quantum generalised flag
manifolds of minuscule weight and their big cells are AS-Gorenstein.
|
math.QA
|
it is shown that quantum homogeneous coordinate rings of generalised flag manifolds corresponding to minuscule weights their schubert varieties big cells and determinantal varieties are ascohenmacaulay the main ingredient in the proof is the notion of a quantum graded algebra with a straightening law introduced by th lenagan and l rigal j algebra 301 2006 670702 using stanleys theorem it is moreover shown that quantum generalised flag manifolds of minuscule weight and their big cells are asgorenstein
|
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|
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|
707.139
|
Probability Measures and Effective Randomness
|
We study the question, ``For which reals $x$ does there exist a measure $\mu$
such that $x$ is random relative to $\mu$?'' We show that for every
nonrecursive $x$, there is a measure which makes $x$ random without
concentrating on $x$. We give several conditions on $x$ equivalent to there
being continuous measure which makes $x$ random. We show that for all but
countably many reals $x$ these conditions apply, so there is a continuous
measure which makes $x$ random. There is a meta-mathematical aspect of this
investigation. As one requires higher arithmetic levels in the degree of
randomness, one must make use of more iterates of the power set of the
continuum to show that for all but countably many $x$'s there is a continuous
$\mu$ which makes $x$ random to that degree.
|
math.LO
|
we study the question for which reals x does there exist a measure mu such that x is random relative to mu we show that for every nonrecursive x there is a measure which makes x random without concentrating on x we give several conditions on x equivalent to there being continuous measure which makes x random we show that for all but countably many reals x these conditions apply so there is a continuous measure which makes x random there is a metamathematical aspect of this investigation as one requires higher arithmetic levels in the degree of randomness one must make use of more iterates of the power set of the continuum to show that for all but countably many xs there is a continuous mu which makes x random to that degree
|
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|
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|
707.1391
|
Tc oscillations in multilayered cuprates superconductors
|
When combining the BCS expression of Tc with a shear modulus constant model,
we can demonstrate that Tc oscillates depending on the number of the cuprate
planes and that it reaches its first maximum for three planes. This is in good
agreement with experimental data and suggests that the electron- phonon
coupling is essential to the superconductivity of the cuprates.
|
cond-mat.supr-con
|
when combining the bcs expression of tc with a shear modulus constant model we can demonstrate that tc oscillates depending on the number of the cuprate planes and that it reaches its first maximum for three planes this is in good agreement with experimental data and suggests that the electron phonon coupling is essential to the superconductivity of the cuprates
|
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|
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|
707.1392
|
Doped Valence Bond Solid and Superconductivity on the Shastry-Sutherland
Lattice
|
Motivated by recent experiments on SrCu$_2$(BO$_3$)$_2$, we investigate the
ground states of the doped Mott insulator on the Shastry-Sutherland lattice. To
provide a unified theoretical framework for both the valence-bond solid state
found in undoped SrCu$_2$(BO$_3$)$_2$ and the doped counterpart being pursued
in on-going experiments, we analyze the t-J-$V$ model via the bond operator
formulation. It is found that novel superconducting states emerge upon doping
with their properties crucially depending on the underlying valence bond order.
Implications to future experiments are discussed.
|
cond-mat.str-el cond-mat.supr-con
|
motivated by recent experiments on srcu_2bo_3_2 we investigate the ground states of the doped mott insulator on the shastrysutherland lattice to provide a unified theoretical framework for both the valencebond solid state found in undoped srcu_2bo_3_2 and the doped counterpart being pursued in ongoing experiments we analyze the tjv model via the bond operator formulation it is found that novel superconducting states emerge upon doping with their properties crucially depending on the underlying valence bond order implications to future experiments are discussed
|
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|
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|
707.1393
|
Hidden nonlinear su(2|2) superunitary symmetry of N=2 superextended 1D
Dirac delta potential problem
|
We show that the N=2 superextended 1D quantum Dirac delta potential problem
is characterized by the hidden nonlinear $su(2|2)$ superunitary symmetry. The
unexpected feature of this simple supersymmetric system is that it admits three
different $\mathbb Z_2$-gradings, which produce a separation of 16 integrals of
motion into three different sets of 8 bosonic and 8 fermionic operators. These
three different graded sets of integrals generate two different nonlinear,
deformed forms of $su(2|2)$, in which the Hamiltonian plays a role of a
multiplicative central charge. On the ground state, the nonlinear superalgebra
is reduced to the two distinct 2D Euclidean analogs of a superextended
Poincar\'e algebra used earlier in the literature for investigation of
spontaneous supersymmetry breaking. We indicate that the observed exotic
supersymmetric structure with three different $\mathbb Z_2$-gradings can be
useful for the search of hidden symmetries in some other quantum systems, in
particular, related to the Lam\'e equation.
|
hep-th
|
we show that the n2 superextended 1d quantum dirac delta potential problem is characterized by the hidden nonlinear su22 superunitary symmetry the unexpected feature of this simple supersymmetric system is that it admits three different mathbb z_2gradings which produce a separation of 16 integrals of motion into three different sets of 8 bosonic and 8 fermionic operators these three different graded sets of integrals generate two different nonlinear deformed forms of su22 in which the hamiltonian plays a role of a multiplicative central charge on the ground state the nonlinear superalgebra is reduced to the two distinct 2d euclidean analogs of a superextended poincare algebra used earlier in the literature for investigation of spontaneous supersymmetry breaking we indicate that the observed exotic supersymmetric structure with three different mathbb z_2gradings can be useful for the search of hidden symmetries in some other quantum systems in particular related to the lame equation
|
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|
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|
707.1394
|
Running anti-de Sitter radius from QCD-like strings
|
We consider renormalization effects for a bosonic QCD-like string, whose
partons have $1/p^{2}$ propagators instead of Gaussian. Classically this model
resembles (the bosonic part of) the projective light-cone (zero-radius) limit
of a string on an AdS${}_5$ background, where Schwinger parameters give rise to
the fifth dimension. Quantum effects generate dynamics for this dimension,
producing an AdS${}_5$ background with a running radius. The projective
light-cone is the high-energy limit: Holography is enforced dynamically.
|
hep-th
|
we consider renormalization effects for a bosonic qcdlike string whose partons have 1p2 propagators instead of gaussian classically this model resembles the bosonic part of the projective lightcone zeroradius limit of a string on an ads_5 background where schwinger parameters give rise to the fifth dimension quantum effects generate dynamics for this dimension producing an ads_5 background with a running radius the projective lightcone is the highenergy limit holography is enforced dynamically
|
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|
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|
707.1395
|
Continuous first-passage percolation and continuous greedy paths model:
linear growth
|
We study a random growth model on $\R^d$ introduced by Deijfen. This is a
continuous first-passage percolation model. The growth occurs by means of
spherical outbursts with random radii in the infected region. We aim at finding
conditions on the distribution of the random radii to determine whether the
growth of the process is linear or not. To do so, we compare this model with a
continuous analogue of the greedy lattice paths model and transpose results in
the lattice setting to the continuous setting.
|
math.PR
|
we study a random growth model on rd introduced by deijfen this is a continuous firstpassage percolation model the growth occurs by means of spherical outbursts with random radii in the infected region we aim at finding conditions on the distribution of the random radii to determine whether the growth of the process is linear or not to do so we compare this model with a continuous analogue of the greedy lattice paths model and transpose results in the lattice setting to the continuous setting
|
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|
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|
707.1396
|
Induced cosmology on a regularized brane in six-dimensional flux
compactification
|
We consider a six-dimensional Einstein-Maxwell system compactified in an
axisymmetric two-dimensional space with one capped regularized conical brane of
codimension one. We study the cosmological evolution which is induced on the
regularized brane as it moves in between known static bulk and cap solutions.
Looking at the resulting Friedmann equation, we see that the brane cosmology at
high energies is dominated by a five-dimensional rho^2 energy density term. At
low energies, we obtain a Friedmann equation with a term linear to the energy
density with, however, negative coefficient in the small four-brane radius
limit (i.e. with negative effective Newton's constant). We discuss ways out of
this problem.
|
hep-th gr-qc
|
we consider a sixdimensional einsteinmaxwell system compactified in an axisymmetric twodimensional space with one capped regularized conical brane of codimension one we study the cosmological evolution which is induced on the regularized brane as it moves in between known static bulk and cap solutions looking at the resulting friedmann equation we see that the brane cosmology at high energies is dominated by a fivedimensional rho2 energy density term at low energies we obtain a friedmann equation with a term linear to the energy density with however negative coefficient in the small fourbrane radius limit ie with negative effective newtons constant we discuss ways out of this problem
|
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|
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|
707.1397
|
Mid-infrared diagnostics of starburst galaxies: clumpy, dense structures
in star-forming regions in the Antennae (NGC 4038/4039)
|
Recently, mid-infrared instruments have become available on several large
ground-based telescopes, resulting in data sets with unprecedented spatial
resolution at these long wavelengths. In this paper we examine
'ground-based-only' diagnostics, which can be used in the study of star-forming
regions in starburst galaxies. By combining output from the stellar population
synthesis code Starburst 99 with the photoionization code Mappings, we model
stellar clusters and their surrounding interstellar medium, focusing on the
evolution of emission lines in the N- and Q-band atmospheric windows (8-13 and
16.5-24.5 micron respectively) and those in the near-infrared. We address the
detailed sensitivity of various emission line diagnostics to stellar population
age, metallicity, nebular density, and ionization parameter. Using our model
results, we analyze observations of two stellar clusters in the overlap region
of the Antennae galaxies obtained with VLT Imager and Spectrometer for mid
Infrared (VISIR). We find evidence for clumpy, high density, ionized gas. The
two clusters are young (younger than 2.5 and 3 Myr respectively), the
surrounding interstellar matter is dense (10^4 cm^-3 or larger) and can be
characterized by a high ionization parameter (logU > -1.53). Detailed analysis
of the mid-infrared spectral features shows that a (near-)homogeneous medium
cannot account for the observations, and that complex structure on scales below
the resolution limit, containing several young stellar clusters embedded in
clumpy gas, is more likely.
|
astro-ph
|
recently midinfrared instruments have become available on several large groundbased telescopes resulting in data sets with unprecedented spatial resolution at these long wavelengths in this paper we examine groundbasedonly diagnostics which can be used in the study of starforming regions in starburst galaxies by combining output from the stellar population synthesis code starburst 99 with the photoionization code mappings we model stellar clusters and their surrounding interstellar medium focusing on the evolution of emission lines in the n and qband atmospheric windows 813 and 165245 micron respectively and those in the nearinfrared we address the detailed sensitivity of various emission line diagnostics to stellar population age metallicity nebular density and ionization parameter using our model results we analyze observations of two stellar clusters in the overlap region of the antennae galaxies obtained with vlt imager and spectrometer for mid infrared visir we find evidence for clumpy high density ionized gas the two clusters are young younger than 25 and 3 myr respectively the surrounding interstellar matter is dense 104 cm3 or larger and can be characterized by a high ionization parameter logu 153 detailed analysis of the midinfrared spectral features shows that a nearhomogeneous medium cannot account for the observations and that complex structure on scales below the resolution limit containing several young stellar clusters embedded in clumpy gas is more likely
|
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|
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|
707.1398
|
Experimental studies of liquid-liquid dispersion in a turbulent shear
flow
|
We study liquid-liquid dispersions in a turbulent Taylor - Couette flow,
produced between two counterrotating coaxial cylinders. In pure Water and in
counterrotation, Reynolds numbers up to 1.4 10^5 are reached. We first
characterize the single-phase flow, in terms of threshold for transition to
turbulence, scaling of the torque and measurements of the mean flow and of the
Reynolds stress by stereoscopic PIV. We then study the increase of the
dissipation in the two-phase flows and find that the torque per unit mass can
be twice the torque for a single-phase flow. Long-time behaviours are also
reported.
|
physics.flu-dyn
|
we study liquidliquid dispersions in a turbulent taylor couette flow produced between two counterrotating coaxial cylinders in pure water and in counterrotation reynolds numbers up to 14 105 are reached we first characterize the singlephase flow in terms of threshold for transition to turbulence scaling of the torque and measurements of the mean flow and of the reynolds stress by stereoscopic piv we then study the increase of the dissipation in the twophase flows and find that the torque per unit mass can be twice the torque for a singlephase flow longtime behaviours are also reported
|
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|
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|
707.1399
|
Detection of SiO emission from a massive dense cold core
|
We report the detection of the SiO (J = 2 - 1) transition from the massive
cold dense core G333.125-0.562. The core remains undetected at wavelengths
shorter than 70 micron and has compact 1.2 mm dust continuum. The SiO emission
is localised to the core. The observations are part of a continuing
multi-molecular line survey of the giant molecular cloud G333. Other detected
molecules in the core include 13CO, C18O, CS, HCO+, HCN, HNC, CH3OH, N2H+, SO,
HC3N, NH3, and some of their isotopes. In addition, from NH3 (1,1) and (2,2)
inversion lines, we obtain a temperature of 13 K. From fitting to the spectral
energy distribution we obtain a colour temperature of 18 K and a gas mass of 2
x 10^3 solar mass. We have also detected a 22 GHz water maser in the core,
together with methanol maser emission, suggesting the core will host massive
star formation. We hypothesise that the SiO emission arises from shocks
associated with an outflow in the cold core.
|
astro-ph
|
we report the detection of the sio j 2 1 transition from the massive cold dense core g3331250562 the core remains undetected at wavelengths shorter than 70 micron and has compact 12 mm dust continuum the sio emission is localised to the core the observations are part of a continuing multimolecular line survey of the giant molecular cloud g333 other detected molecules in the core include 13co c18o cs hco hcn hnc ch3oh n2h so hc3n nh3 and some of their isotopes in addition from nh3 11 and 22 inversion lines we obtain a temperature of 13 k from fitting to the spectral energy distribution we obtain a colour temperature of 18 k and a gas mass of 2 x 103 solar mass we have also detected a 22 ghz water maser in the core together with methanol maser emission suggesting the core will host massive star formation we hypothesise that the sio emission arises from shocks associated with an outflow in the cold core
|
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|
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|
707.14
|
Lower bounds for sup + inf and sup * inf and an Extension of Chen-Lin
result in dimension 3
|
We give two results about Harnack type inequalities. First, on compact smooth
Riemannian surface without boundary, we have an estimate of the type $\sup
+\inf$. The second result concerns the solutions of prescribed scalar curvature
equation on the unit ball of ${\mathbb R}^n$ with Dirichlet condition. Next, we
give an inequality of the type $(\sup_K u)^{2s-1} \times \inf_{\Omega} u \leq
c$ for positive solutions of $\Delta u=Vu^5$ on $\Omega \subset {\mathbb R}^3$,
where $K$ is a compact set of $\Omega$ and $V$ is $s-$ h\"olderian, $s\in
]-1/2,1]$. For the case $s=1/2$, we prove that if $\min_{\Omega} u>m>0$ and the
h\"olderian constant $A$ of $V$ is small enough (in certain meaning), we have
the uniform boundedness of the supremum of the solutions of the previous
equation on any compact set of $\Omega$.
-----
Nous donnons quelques estimations des solutions d'equations elliptiques sur
les surfaces de Riemann et sur des ouverts en dimension n> 2. Nous traitons le
cas holderien pour l'equation de la courbure scalaire prescrite en dimension 3.
|
math.AP
|
we give two results about harnack type inequalities first on compact smooth riemannian surface without boundary we have an estimate of the type sup inf the second result concerns the solutions of prescribed scalar curvature equation on the unit ball of mathbb rn with dirichlet condition next we give an inequality of the type sup_k u2s1 times inf_omega u leq c for positive solutions of delta uvu5 on omega subset mathbb r3 where k is a compact set of omega and v is s holderian sin 121 for the case s12 we prove that if min_omega um0 and the holderian constant a of v is small enough in certain meaning we have the uniform boundedness of the supremum of the solutions of the previous equation on any compact set of omega nous donnons quelques estimations des solutions dequations elliptiques sur les surfaces de riemann et sur des ouverts en dimension n 2 nous traitons le cas holderien pour lequation de la courbure scalaire prescrite en dimension 3
|
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|
[-0.22132390703773125, 0.03858753998811153, -0.05484880946605699, 0.009319658952153986, -0.08640947355270327, -0.15679927715100347, -0.06917447731539142, 0.2212093098758487, -0.22021219327725702, -0.20645533756614895, 0.1317056971944112, -0.35890425702673384, -0.09007416128988552, 0.193502940156759, -0.15376557225827128, 0.01463187747867778, -0.02501008941908367, 0.06149162169967894, -0.05165607538920085, -0.29238589914893964, 0.3700738583684142, -0.07144795664353296, 0.1911900071281707, 0.037827117141569035, 0.13079931837273762, 0.017656138353049754, 0.06935828132554889, -0.07597444439234095, -0.33427543853345015, 0.08730091455072397, 0.2230437170190271, 0.1387622601512703, 0.28209995315410197, -0.3731816678890027, -0.13099081144318916, 0.18437333813344595, 0.11954583499173169, -0.04043036382208811, 0.008933149046788458, -0.3293244919841527, 0.16893921896225947, -0.08955647963703087, -0.16512817887123674, -0.023786518402630463, 0.06222134090494365, 0.059963982504086744, -0.2963672270416282, 0.12248163646145258, 0.1157226394600002, 0.07353112538767163, -0.12265236336097587, -0.20127815048908815, -0.09861156102560927, 0.0022189831113792026, -0.04428734283574158, 0.12832099242223194, 0.006371819271589629, 0.0001476276564062573, -0.015143798161443556, 0.2965441589418333, -0.12939555135089903, -0.221451058605453, 0.12375107305997517, -0.1709371372300666, -0.18462414547393563, 0.07243794833484571, 0.1287895779882092, 0.19612938596401364, 0.02944863513112068, 0.2921525162375474, -0.04907968178667943, 0.13773166986211435, 0.16668049588024586, -0.019430429507337976, 0.07187144327326678, 0.06519848149473546, 0.13439410278188008, -0.026010700648475903, -0.07114701304089976, 0.021424976276466622, -0.38431403487738863, -0.2579005050647538, -0.14692749429377727, 0.17583146095275878, -0.16483219469937466, -0.20749699550797232, 0.2258087985101156, 0.004076657531550154, 0.16656151668576058, 0.1065837372210808, 0.12023039696796331, 0.03201606431848632, -0.0626449070587114, 0.10303384108119644, 0.11649273111695493, 0.10955304274102673, 0.13080191235640087, -0.17123221445381204, -0.03327447000192478, 0.20605297206784598]
|
707.1401
|
Complete Two-Loop Corrections to H -> gamma gamma
|
In this paper the complete two-loop corrections to the Higgs-boson decay, H
-> gamma gamma, are presented. The evaluations of both QCD and electroweak
corrections are based on a numerical approach. The results cover all
kinematical regions, including the WW normal-threshold, by introducing complex
masses in the relevant (gauge-invariant) parts of the LO and NLO amplitudes.
|
hep-ph
|
in this paper the complete twoloop corrections to the higgsboson decay h gamma gamma are presented the evaluations of both qcd and electroweak corrections are based on a numerical approach the results cover all kinematical regions including the ww normalthreshold by introducing complex masses in the relevant gaugeinvariant parts of the lo and nlo amplitudes
|
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|
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|
707.1402
|
Construction and test of a moving boundary model for negative streamer
discharges
|
Starting from the minimal model for the electrically interacting particle
densities in negative streamer discharges, we derive a moving boundary
approximation for the ionization fronts. The boundary condition on the moving
front is found to be of 'kinetic undercooling' type. The boundary
approximation, whose first results have been published in [Meulenbroek et al.,
PRL 95, 195004 (2005)], is then tested against 2-dimensional simulations of the
density model. The results suggest that our moving boundary approximation
adequately represents the essential dynamics of negative streamer fronts.
|
physics.plasm-ph physics.flu-dyn
|
starting from the minimal model for the electrically interacting particle densities in negative streamer discharges we derive a moving boundary approximation for the ionization fronts the boundary condition on the moving front is found to be of kinetic undercooling type the boundary approximation whose first results have been published in meulenbroek et al prl 95 195004 2005 is then tested against 2dimensional simulations of the density model the results suggest that our moving boundary approximation adequately represents the essential dynamics of negative streamer fronts
|
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|
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|
707.1403
|
Accretion of Low Angular Momentum Material onto Black Holes: Radiation
Properties of Axisymmetric MHD Flows
|
Numerical simulations of MHD accretion flows in the vicinity of a
supermasssive black hole provide important insights to the problem of why and
how systems -- such as the Galactic Center -- are underluminous and variable.
To access applicability of such flows to real objects, we examine the dynamical
MHD studies with computations of the time dependent radiation spectra predicted
by the simulations. We apply Monte Carlo methods to calculate spectra predicted
by the time-dependent model of an axisymmetic MHD flow accreting onto a black
hole presented by Proga and Begelman. Our calculations show that variability in
an accretion flow is not always reflected in the corresponding spectra, at
least not in all wavelengths. We find no one-to-one correspondence between the
accretion state and the predicted spectrum
|
astro-ph
|
numerical simulations of mhd accretion flows in the vicinity of a supermasssive black hole provide important insights to the problem of why and how systems such as the galactic center are underluminous and variable to access applicability of such flows to real objects we examine the dynamical mhd studies with computations of the time dependent radiation spectra predicted by the simulations we apply monte carlo methods to calculate spectra predicted by the timedependent model of an axisymmetic mhd flow accreting onto a black hole presented by proga and begelman our calculations show that variability in an accretion flow is not always reflected in the corresponding spectra at least not in all wavelengths we find no onetoone correspondence between the accretion state and the predicted spectrum
|
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|
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|
707.1404
|
Corings with exact rational functors and injective objects
|
We describe how some aspects of abstract localization on module categories
have applications to the study of injective comodules over some special types
of corings. We specialize the general results to the case of Doi-Koppinen
modules, generalizing previous results in this setting.
|
math.RA
|
we describe how some aspects of abstract localization on module categories have applications to the study of injective comodules over some special types of corings we specialize the general results to the case of doikoppinen modules generalizing previous results in this setting
|
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|
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|
707.1405
|
Symmetries of Electrostatic Interaction between DNA Molecules
|
We study a model for pair interaction $U$ of DNA molecules generated by the
discrete dipole moments of base-pairs and the charges of phosphate groups, and
find noncommutative group of eighth order ${\cal S}$ of symmetries that leave
$U$ invariant. We classify the minima using group ${\cal S}$ and employ
numerical methods for finding them. The minima may correspond to several
cholesteric phases, as well as phases formed by cross-like conformations of
molecules at an angle close to $\rm{90}^{o}$, "snowflake phase". The results
depend on the effective charge $Q$ of the phosphate group which can be modified
by the polycations or the ions of metals. The snowflake phase could exist for
$Q$ above the threshold $Q_C$. Below $Q_C$ there could be several cholesteric
phases. Close to $Q_C$ the snowflake phase could change into the cholesteric
one at constant distance between adjacent molecules.
|
cond-mat.soft
|
we study a model for pair interaction u of dna molecules generated by the discrete dipole moments of basepairs and the charges of phosphate groups and find noncommutative group of eighth order cal s of symmetries that leave u invariant we classify the minima using group cal s and employ numerical methods for finding them the minima may correspond to several cholesteric phases as well as phases formed by crosslike conformations of molecules at an angle close to rm90o snowflake phase the results depend on the effective charge q of the phosphate group which can be modified by the polycations or the ions of metals the snowflake phase could exist for q above the threshold q_c below q_c there could be several cholesteric phases close to q_c the snowflake phase could change into the cholesteric one at constant distance between adjacent molecules
|
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|
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|
707.1406
|
Uniqueness at infinity in time for the Maxwell-Schr"odinger system with
arbitrarily large asymptotic data
|
We prove the uniqueness of solutions of the Maxwell-Schr"odinger system with
given asymptotic behaviour at infinity in time. The assumptions include
suitable restrictions on the growth of solutions for large time and on the
accuracy of their asymptotics, but no restriction on their size. The result
applies to the solutions with prescribed asymptotics constructed in a previous
paper.
|
math.AP
|
we prove the uniqueness of solutions of the maxwellschrodinger system with given asymptotic behaviour at infinity in time the assumptions include suitable restrictions on the growth of solutions for large time and on the accuracy of their asymptotics but no restriction on their size the result applies to the solutions with prescribed asymptotics constructed in a previous paper
|
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|
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|
707.1407
|
Reliability of genetic networks is evolvable
|
Control of the living cell functions with remarkable reliability despite the
stochastic nature of the underlying molecular networks -- a property presumably
optimized by biological evolution. We here ask to what extent the property of a
stochastic dynamical network to produce reliable dynamics is an evolvable
trait. Using an evolutionary algorithm based on a deterministic selection
criterion for the reliability of dynamical attractors, we evolve dynamical
networks of noisy discrete threshold nodes. We find that, starting from any
random network, reliability of the attractor landscape can often be achieved
with only few small changes to the network structure. Further, the evolvability
of networks towards reliable dynamics while retaining their function is
investigated and a high success rate is found.
|
q-bio.MN
|
control of the living cell functions with remarkable reliability despite the stochastic nature of the underlying molecular networks a property presumably optimized by biological evolution we here ask to what extent the property of a stochastic dynamical network to produce reliable dynamics is an evolvable trait using an evolutionary algorithm based on a deterministic selection criterion for the reliability of dynamical attractors we evolve dynamical networks of noisy discrete threshold nodes we find that starting from any random network reliability of the attractor landscape can often be achieved with only few small changes to the network structure further the evolvability of networks towards reliable dynamics while retaining their function is investigated and a high success rate is found
|
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|
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|
707.1408
|
Module Shifts and Measure Rigidity in Linear Cellular Automata
|
Suppose R is a finite commutative ring of prime characteristic, A is a finite
R-module, M:=Z^D x N^E, and F is an R-linear cellular automaton on A^M. If mu
is an F-invariant measure which is multiply shift-mixing in a certain way, then
we show that mu must be the Haar measure on a coset of some submodule shift of
A^M. Under certain conditions, this means mu must be the uniform Bernoulli
measure on A^M.
|
math.DS
|
suppose r is a finite commutative ring of prime characteristic a is a finite rmodule mzd x ne and f is an rlinear cellular automaton on am if mu is an finvariant measure which is multiply shiftmixing in a certain way then we show that mu must be the haar measure on a coset of some submodule shift of am under certain conditions this means mu must be the uniform bernoulli measure on am
|
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|
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|
707.1409
|
Poisson-Vlasov : Stochastic representation and numerical codes
|
A stochastic representation for the solutions of the Poisson-Vlasov equation,
with several charged species, is obtained. The representation involves both an
exponential and a branching process and it provides an intuitive
characterization of the nature of the solutions and its fluctuations. Here, the
stochastic representation is also proposed as a tool for the numerical
evaluation of the solutions
|
physics.plasm-ph
|
a stochastic representation for the solutions of the poissonvlasov equation with several charged species is obtained the representation involves both an exponential and a branching process and it provides an intuitive characterization of the nature of the solutions and its fluctuations here the stochastic representation is also proposed as a tool for the numerical evaluation of the solutions
|
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|
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|
707.141
|
The quadratic speedup in Grover's search algorithm from the entanglement
perspective
|
We analyze the role played by entanglement in the dynamical evolution of
Grover's search algorithm in the space of qubits. We show that the algorithm
can be equivalently described as an iterative change of the entanglement
between the qubits, which governs the evolution of the initial state towards
the target state, and where the entanglement can be quantified in terms a
single entanglement monotone. We also provide a necessary and sufficient
condition for the quadratic speedup, which illustrates how the change in the
bipartite entanglement of the state after each iteration determines the
corresponding increase in the probability of finding the target state. This
allows us to reestablish from the entanglement perspective that Grover's search
algorithm is the only optimal pure state search algorithm.
|
quant-ph
|
we analyze the role played by entanglement in the dynamical evolution of grovers search algorithm in the space of qubits we show that the algorithm can be equivalently described as an iterative change of the entanglement between the qubits which governs the evolution of the initial state towards the target state and where the entanglement can be quantified in terms a single entanglement monotone we also provide a necessary and sufficient condition for the quadratic speedup which illustrates how the change in the bipartite entanglement of the state after each iteration determines the corresponding increase in the probability of finding the target state this allows us to reestablish from the entanglement perspective that grovers search algorithm is the only optimal pure state search algorithm
|
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|
[-0.1156319705074683, 0.14020643264607754, -0.13248513022347563, 0.05891979915360289, 0.005373750084770783, -0.14752577452248172, 0.08723236169222923, 0.32989074021667963, -0.2863773649197913, -0.32403036071017627, 0.07713670105271551, -0.22042173317893157, -0.13505599243686564, 0.16005696458629362, -0.02241180418758954, 0.0817921488816219, 0.07230138700200064, 0.08397736178636889, -0.09384423659949173, -0.27277296382723554, 0.3148537085789646, 0.07685444124733969, 0.27255720370298914, 0.038883967784180816, 0.10975602721314758, 0.031951615845994846, 0.010646503045028377, -0.0021858039509689044, -0.11669224401949548, 0.0858376031110604, 0.24835668584038953, 0.21169821567262612, 0.27068990994725495, -0.3974548143094345, -0.14016950529279007, 0.17085520693311287, 0.1487010837262196, 0.1724747600570892, -0.01443893633381043, -0.29838083628865497, 0.008578220484665625, -0.1406390894609954, -0.10592376296183155, -0.0814466467070874, -0.000894182022743588, -0.025184983556579436, -0.2664640801897716, 0.07035558609336036, 0.08818340842445914, -0.012075227873039341, -0.03948368381515461, -0.017912174590052135, -0.024674204358410452, 0.1690964890313485, -0.03365353068464526, 0.04583341872034174, 0.1291059517008703, -0.13436751470022323, -0.16096887943680369, 0.33567317632297355, -0.06848558149912636, -0.1887477929215698, 0.1140966295075017, -0.10046663198004206, -0.11169017917446551, 0.10987387621970547, 0.15377580810121388, 0.13423567489465518, -0.11364588666436894, 0.07158066834715775, -0.034705258920908935, 0.18858091096438828, 0.031994532019927004, 0.09121727121002492, 0.16683152195201406, 0.13416934664541436, 0.14880100943358435, 0.2516812279411111, -0.05848511785969153, -0.1720150111753854, -0.3264103509005039, -0.23618373126279743, -0.22729601555376225, 0.04958987495422574, -0.1117691688289802, -0.11154235056751678, 0.43416869902848115, 0.1503020691058238, 0.183209948301796, 0.019411274688243264, 0.23584815475248522, 0.14211459834581136, 0.020527989789233318, 0.10972695395673415, 0.25463262334045383, 0.08785346657743738, 0.08081703227494032, -0.3393744229650756, 0.12196048205125055, 0.08272240739390854]
|
707.1411
|
Constructing Simplicial Branched Covers
|
Branched covers are applied frequently in topology - most prominently in the
construction of closed oriented PL d-manifolds. In particular, strong bounds
for the number of sheets and the topology of the branching set are known for
dimension d<=4. On the other hand, Izmestiev and Joswig described how to obtain
a simplicial covering space (the partial unfolding) of a given simplicial
complex, thus obtaining a simplicial branched cover [Adv. Geom. 3(2):191-255,
2003]. We present a large class of branched covers which can be constructed via
the partial unfolding. In particular, for d<=4 every closed oriented PL
d-manifold is the partial unfolding of some polytopal d-sphere.
|
math.CO math.GT
|
branched covers are applied frequently in topology most prominently in the construction of closed oriented pl dmanifolds in particular strong bounds for the number of sheets and the topology of the branching set are known for dimension d4 on the other hand izmestiev and joswig described how to obtain a simplicial covering space the partial unfolding of a given simplicial complex thus obtaining a simplicial branched cover adv geom 32191255 2003 we present a large class of branched covers which can be constructed via the partial unfolding in particular for d4 every closed oriented pl dmanifold is the partial unfolding of some polytopal dsphere
|
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|
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|
707.1412
|
On natural and conformally equivariant quantizations
|
The concept of conformally equivariant quantizations was introduced by Duval,
Lecomte and Ovsienko in \cite{DLO} for manifolds endowed with flat conformal
structures. They obtained results of existence and uniqueness (up to
normalization) of such a quantization procedure. A natural generalization of
this concept is to seek for a quantization procedure, over a manifold $M$, that
depends on a pseudo-Riemannian metric, is natural and is invariant with respect
to a conformal change of the metric. The existence of such a procedure was
conjectured by P. Lecomte in \cite{Leconj} and proved by C. Duval and V.
Ovsienko in \cite{DO1} for symbols of degree at most 2 and by S. Loubon Djounga
in \cite{Loubon} for symbols of degree 3. In two recent papers \cite{MR,MR1},
we investigated the question of existence of projectively equivariant
quantizations using the framework of Cartan connections. Here we will show how
the formalism developed in these works adapts in order to deal with the
conformally equivariant quantization for symbols of degree at most 3. This will
allow us to easily recover the results of \cite{DO1} and \cite{Loubon}. We will
then show how it can be modified in order to prove the existence of conformally
equivariant quantizations for symbols of degree 4.
|
math.DG
|
the concept of conformally equivariant quantizations was introduced by duval lecomte and ovsienko in citedlo for manifolds endowed with flat conformal structures they obtained results of existence and uniqueness up to normalization of such a quantization procedure a natural generalization of this concept is to seek for a quantization procedure over a manifold m that depends on a pseudoriemannian metric is natural and is invariant with respect to a conformal change of the metric the existence of such a procedure was conjectured by p lecomte in citeleconj and proved by c duval and v ovsienko in citedo1 for symbols of degree at most 2 and by s loubon djounga in citeloubon for symbols of degree 3 in two recent papers citemrmr1 we investigated the question of existence of projectively equivariant quantizations using the framework of cartan connections here we will show how the formalism developed in these works adapts in order to deal with the conformally equivariant quantization for symbols of degree at most 3 this will allow us to easily recover the results of citedo1 and citeloubon we will then show how it can be modified in order to prove the existence of conformally equivariant quantizations for symbols of degree 4
|
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|
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|
707.1413
|
Minimizing the linewidth of the Flux-Flow Oscillator
|
For the first time the linewidth of Flux-Flow Oscillator has been calculated
by direct computer simulation of the sine-Gordon equation with noise. Nearly
perfect agreement of the numerical results with the formula derived in [Phys.
Rev. B, {\bf 65}, 054504 (2002)] has been achieved. It has been demonstrated
that for homogeneous bias current distribution the linewidth actually does not
depend on the junction length for practically interesting parameters range.
Depending on the length of the unbiased tail, the power may be maximized and
the linewidth may be minimized in a broad range of bias currents. The linewidth
can be decreased further by 1.5 times by proper load matching.
|
cond-mat.supr-con cond-mat.stat-mech
|
for the first time the linewidth of fluxflow oscillator has been calculated by direct computer simulation of the sinegordon equation with noise nearly perfect agreement of the numerical results with the formula derived in phys rev b bf 65 054504 2002 has been achieved it has been demonstrated that for homogeneous bias current distribution the linewidth actually does not depend on the junction length for practically interesting parameters range depending on the length of the unbiased tail the power may be maximized and the linewidth may be minimized in a broad range of bias currents the linewidth can be decreased further by 15 times by proper load matching
|
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|
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|
707.1414
|
Experimental studies of turbulent Taylor-Couette flows: single phase and
liquid-liquid dispersions
|
We study liquid-liquid dispersions in a turbulent Taylor-Couette flow,
produced between two counterrotating coaxial cylinders. In pure Water and in
counterrotation, Reynolds numbers up to 1.4 10^5 are reached. The liquids we
use are a low-viscous Oil and pure Water or a Sodium Iodide solution with a
refractive index matched to that of Oil, in order to get transparent
dispersions. We first characterize the single-phase flow, in terms of threshold
for transition to turbulence, scaling of the torque and measurements of the
mean flow and of the Reynolds stress by stereoscopic PIV. We then study the
increase of the dissipation in the two-phase flows and find that the torque per
unit mass can be twice the torque for a single-phase flow. Long-time behaviours
are also reported.
|
physics.flu-dyn
|
we study liquidliquid dispersions in a turbulent taylorcouette flow produced between two counterrotating coaxial cylinders in pure water and in counterrotation reynolds numbers up to 14 105 are reached the liquids we use are a lowviscous oil and pure water or a sodium iodide solution with a refractive index matched to that of oil in order to get transparent dispersions we first characterize the singlephase flow in terms of threshold for transition to turbulence scaling of the torque and measurements of the mean flow and of the reynolds stress by stereoscopic piv we then study the increase of the dissipation in the twophase flows and find that the torque per unit mass can be twice the torque for a singlephase flow longtime behaviours are also reported
|
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|
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|
707.1415
|
Constructing Combinatorial 4-Manifolds
|
Every closed oriented PL 4-manifold is a branched cover of the 4-sphere
branched over a PL-surface with finitely many singularities by Piergallini
[Topology 34(3):497-508, 1995]. This generalizes a long standing result by
Hilden and Montesinos to dimension four. Izmestiev and Joswig [Adv. Geom.
3(2):191-225, 2003] gave a combinatorial equivalent of the Hilden and
Montesinos result, constructing closed oriented combinatorial 3-manifolds as
simplicial branched covers of combinatorial 3-spheres. The construction of
Izmestiev and Joswig is generalized and applied to the result of Piergallini,
obtaining closed oriented combinatorial 4-manifolds as simplicial branched
covers of simplicial 4-spheres.
|
math.CO math.GT
|
every closed oriented pl 4manifold is a branched cover of the 4sphere branched over a plsurface with finitely many singularities by piergallini topology 343497508 1995 this generalizes a long standing result by hilden and montesinos to dimension four izmestiev and joswig adv geom 32191225 2003 gave a combinatorial equivalent of the hilden and montesinos result constructing closed oriented combinatorial 3manifolds as simplicial branched covers of combinatorial 3spheres the construction of izmestiev and joswig is generalized and applied to the result of piergallini obtaining closed oriented combinatorial 4manifolds as simplicial branched covers of simplicial 4spheres
|
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|
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|
707.1416
|
The Impact of Ultraviolet Regularization on the Spectrum of Curvature
Perturbations During Inflation
|
Inflationary predictions based on the linear theory of cosmological
perturbations are related to the two point function of a (second quantized)
real scalar free field during the accelerated stage. Such a two point function
is finite, in contrast with its coincidence limit, which is divergent due to
the ultraviolet divergences proper of field theory. We therefore argue that
predictions of most of the inflationary models do not necessarily need a
regularization scheme to leading order, i.e. tree level, which is required
instead for non-linear corrections or calculations involving the
energy-momentum tensor. We also discuss unpleasant features of the "would be"
regularized spectrum obtained using the traditional fourth order adiabatic
subtraction.
|
hep-th astro-ph
|
inflationary predictions based on the linear theory of cosmological perturbations are related to the two point function of a second quantized real scalar free field during the accelerated stage such a two point function is finite in contrast with its coincidence limit which is divergent due to the ultraviolet divergences proper of field theory we therefore argue that predictions of most of the inflationary models do not necessarily need a regularization scheme to leading order ie tree level which is required instead for nonlinear corrections or calculations involving the energymomentum tensor we also discuss unpleasant features of the would be regularized spectrum obtained using the traditional fourth order adiabatic subtraction
|
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|
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|
707.1417
|
Characteristic Functions of Liftings
|
We introduce characteristic functions for certain contractive liftings of row
contractions. These are multi-analytic operators which classify the liftings up
to unitary equivalence and provide a kind of functional model. The most
important cases are subisometric and coisometric liftings. We also identify the
most general setting which we call reduced liftings. We derive properties of
these new characteristic functions and discuss the relation to Popescu's
definition for completely non-coisometric row contractions. Finally we apply
our theory to completely positive maps and prove a one-to-one correspondence
between the fixed point sets of completely positive maps related to each other
by a subisometric lifting.
|
math.OA
|
we introduce characteristic functions for certain contractive liftings of row contractions these are multianalytic operators which classify the liftings up to unitary equivalence and provide a kind of functional model the most important cases are subisometric and coisometric liftings we also identify the most general setting which we call reduced liftings we derive properties of these new characteristic functions and discuss the relation to popescus definition for completely noncoisometric row contractions finally we apply our theory to completely positive maps and prove a onetoone correspondence between the fixed point sets of completely positive maps related to each other by a subisometric lifting
|
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|
[-0.11591205536844391, 0.09410736617043286, -0.04736999946865527, 0.11172220451465133, -0.05962186209473978, -0.17070028268476473, 0.044618915600985215, 0.3573647517455267, -0.3762639669071445, -0.1592285978589572, 0.11032138034865699, -0.2706908592771666, -0.2250320205565396, 0.16410713253871484, -0.09618647455228675, 0.03734894639438055, -0.00401477013513738, 0.01813012095169374, -0.17781688418129787, -0.24348288376395608, 0.45102188381476, -0.013681047212551622, 0.19581271216328092, 0.042050712025158254, 0.10639958018802252, -0.015957083731122753, -0.06403317503795466, -0.024300450761449398, -0.15969626873950749, 0.14184209087169639, 0.3099297466687858, 0.15774018288014785, 0.20572456294515482, -0.36076981935869246, -0.1273931936707859, 0.1830657215277646, 0.06546803635052022, 0.06174772826260796, -0.035968665446739136, -0.24461080108349229, 0.10888202853304535, -0.1616966056947907, -0.12133339716021117, -0.17321748423901404, 0.012721914816282544, 0.014815134872846743, -0.25759071000285594, 0.00386272820697723, 0.10257839769417164, 0.07228808668350764, -0.09386158728625114, -0.09601971369314317, 0.0003103386158781017, 0.14763680740953514, -0.036431383454542166, -0.005431597736805641, 0.09312462442846713, -0.050284713438219004, -0.10665224566051335, 0.3240569776344095, -0.030796103848842904, -0.22846767797554826, 0.19944523021980537, -0.169399089476678, -0.19656575518641986, 0.03877107482677435, 0.09374994977706057, 0.12930350144412003, -0.10825090490592022, 0.09153047801844556, -0.11732021054508639, 0.07773893740622774, 0.12132148662874219, 0.019282517067325648, 0.17394595583398625, -0.01358697376232229, 0.12812262705833122, 0.1826255099725791, 0.013619662454242216, -0.07459062510215696, -0.38361681329415126, -0.1679171448956956, -0.05108514598881205, 0.06716514661835105, -0.0883419520544646, -0.17577175036364912, 0.4158757123913543, 0.1451652806489637, 0.23537991146611817, 0.155007414604245, 0.18644838385722218, 0.12039808243143317, 0.08570418018372912, 0.04859953698720418, 0.15019942643851333, 0.21740691715568378, -0.024454322712057653, -0.11472324913997642, 0.005141844945576261, 0.19817972078682014]
|
707.1418
|
On the transformation semitopological semigroup
|
In this paper we introduce the notion of weighted (weakly) almost periodic
compactifcation of a semitopological semigroup and generalize this notion to
corresponding notion for transformation semigroup.The inclusion relation and
equality of some well known function spaces on a weighted transformation
semigroup is also investigated.
|
math.FA
|
in this paper we introduce the notion of weighted weakly almost periodic compactifcation of a semitopological semigroup and generalize this notion to corresponding notion for transformation semigroupthe inclusion relation and equality of some well known function spaces on a weighted transformation semigroup is also investigated
|
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|
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|
707.1419
|
Unparticle as a field with continuously distributed mass
|
We point out that the notion of an unparticle, recently introduced by Georgi,
can be interpreted as a particular case of a field with continuously
distributed mass considered in ref.\cite{14}. We also point out that the
simplest renormalizable extension of the $SU_c(3)\otimes SU_L(2)\otimes U(1)$
Standard Model is the extension with the replacement of the U(1) gauge
propagator $\frac{1}{k^2} \to \frac{1}{k^2} + \int
_0^{\infty}\frac{\rho(t)}{-t+k^2 +i\epsilon}dt$ with $\int_0^{\infty}\rho(t)dt
< \infty $.
|
hep-ph
|
we point out that the notion of an unparticle recently introduced by georgi can be interpreted as a particular case of a field with continuously distributed mass considered in refcite14 we also point out that the simplest renormalizable extension of the su_c3otimes su_l2otimes u1 standard model is the extension with the replacement of the u1 gauge propagator frac1k2 to frac1k2 int _0inftyfracrhottk2 iepsilondt with int_0inftyrhotdt infty
|
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|
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|
707.142
|
Parastrophic invariance of Smarandache quasigroups
|
Every quasigroup $(L,\cdot)$ belongs to a set of 6 quasigroups, called
parastrophes denoted by $(L,\pi_i)$, $i\in \{1,2,3,4,5,6\}$. It is shown that
$(L,\pi_i)$ is a Smarandache quasigroup with associative subquasigroup
$(S,\pi_i) \forall i\in \{1,2,3,4,5,6\}$ if and only if for any of some four
$j\in \{1,2,3,4,5,6\}$, $(S,\pi_j)$ is an isotope of $(S,\pi_i)$ or $(S,\pi_k)$
for one $k\in \{1,2,3,4,5,6\}$ such that $i\ne j\ne k$. Hence, $(L,\pi_i)$ is a
Smarandache quasigroup with associative subquasigroup $(S,\pi_i) \forall i\in
\{1,2,3,4,5,6\}$ if and only if any of the six Khalil conditions is true for
any of some four of $(S,\pi_i)$.
|
math.GM
|
every quasigroup lcdot belongs to a set of 6 quasigroups called parastrophes denoted by lpi_i iin 123456 it is shown that lpi_i is a smarandache quasigroup with associative subquasigroup spi_i forall iin 123456 if and only if for any of some four jin 123456 spi_j is an isotope of spi_i or spi_k for one kin 123456 such that ine jne k hence lpi_i is a smarandache quasigroup with associative subquasigroup spi_i forall iin 123456 if and only if any of the six khalil conditions is true for any of some four of spi_i
|
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|
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|
707.1421
|
Consequences of U dualities for Intersecting Branes in the Universe
|
We consider N -- charge, intersecting brane antibrane configurations in M
theory which are smeared uniformly in the common transverse space and may
describe our universe. We study the consequences of U dualities and find that
they imply relations among the scale factors. We find using Einstein's
equations that U dualities also imply a relation among the density \rho and the
pressure p_i for the single charge case. We present an ansatz for \rho and p_i
for the N -- charge case which yields all the U duality relations among the
scale factors. We then study configurations with identical charges, and also
with net charges vanishing. We find among other things that, independent of the
details of the brane antibrane dynamics, such four charge configurations lead
asymptotically to an effective (3 + 1) -- dimensional expanding universe.
|
hep-th astro-ph gr-qc
|
we consider n charge intersecting brane antibrane configurations in m theory which are smeared uniformly in the common transverse space and may describe our universe we study the consequences of u dualities and find that they imply relations among the scale factors we find using einsteins equations that u dualities also imply a relation among the density rho and the pressure p_i for the single charge case we present an ansatz for rho and p_i for the n charge case which yields all the u duality relations among the scale factors we then study configurations with identical charges and also with net charges vanishing we find among other things that independent of the details of the brane antibrane dynamics such four charge configurations lead asymptotically to an effective 3 1 dimensional expanding universe
|
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|
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|
707.1422
|
Alpha-prime corrections to space-like branes
|
Space-like branes or S-branes are certain class of time dependent solutions
of M/string theories having isometries ISO(p+1) $\times$ SO(d-p-2,1), where
$d=11,10$ respectively and have singularities at t=0. In \cite{Roy:2006du}, we
found that the asymptotically flat S-branes have the structure of generalized
Kasner geometry near t=0. In this work we evaluate higher order $\alpha'$
corrections perturbatively to the heterotic string Kasner backgrounds to probe
the singularity at t=0. We generally find that the perturbative corrections do
not permit us to reach the singular point, as the supergravity framework fails
near $t \sim {\sqrt \alpha'}$ blurring the origin of space-like singularities.
This is analogous to the concept of stretched horizons in the case of black
holes.
|
hep-th
|
spacelike branes or sbranes are certain class of time dependent solutions of mstring theories having isometries isop1 times sodp21 where d1110 respectively and have singularities at t0 in citeroy2006du we found that the asymptotically flat sbranes have the structure of generalized kasner geometry near t0 in this work we evaluate higher order alpha corrections perturbatively to the heterotic string kasner backgrounds to probe the singularity at t0 we generally find that the perturbative corrections do not permit us to reach the singular point as the supergravity framework fails near t sim sqrt alpha blurring the origin of spacelike singularities this is analogous to the concept of stretched horizons in the case of black holes
|
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|
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|
707.1423
|
Smarandache Isotopy Theory Of Smarandache: Quasigroups And Loops
|
The concept of Smarandache isotopy is introduced and its study is explored
for Smarandache: groupoids, quasigroups and loops just like the study of
isotopy theory was carried out for groupoids, quasigroups and loops. The
exploration includes: Smarandache; isotopy and isomorphy classes, Smarandache
$f,g$ principal isotopes and G-Smarandache loops.
|
math.GM
|
the concept of smarandache isotopy is introduced and its study is explored for smarandache groupoids quasigroups and loops just like the study of isotopy theory was carried out for groupoids quasigroups and loops the exploration includes smarandache isotopy and isomorphy classes smarandache fg principal isotopes and gsmarandache loops
|
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|
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|
707.1424
|
Pion scattering poles and chiral symmetry restoration
|
Using unitarized Chiral Perturbation Theory methods, we perform a detailed
analysis of the $\pi\pi$ scattering poles $f_0(600)$ and $\rho(770)$ behaviour
when medium effects such as temperature or density drive the system towards
Chiral Symmetry Restoration. In the analysis of real poles below threshold, we
show that it is crucial to extend properly the unitarized amplitudes so that
they match the perturbative Adler zeros. Our results do not show threshold
enhancement effects at finite temperature in the $f_0(600)$ channel, which
remains as a pole of broad nature. We also implement T=0 finite density effects
related to chiral symmetry restoration, by varying the pole position with the
pion decay constant. Although this approach takes into account only a limited
class of contributions, we reproduce the expected finite density restoration
behaviour, which drives the poles towards the real axis, producing threshold
enhancement and $\pi\pi$ bound states. We compare our results with several
model approaches and discuss the experimental consequences, both in
Relativistic Heavy Ion Collisions and in $\pi\to \pi\pi$ and $\gamma\to \pi\pi$
reactions in nuclei.
|
hep-ph
|
using unitarized chiral perturbation theory methods we perform a detailed analysis of the pipi scattering poles f_0600 and rho770 behaviour when medium effects such as temperature or density drive the system towards chiral symmetry restoration in the analysis of real poles below threshold we show that it is crucial to extend properly the unitarized amplitudes so that they match the perturbative adler zeros our results do not show threshold enhancement effects at finite temperature in the f_0600 channel which remains as a pole of broad nature we also implement t0 finite density effects related to chiral symmetry restoration by varying the pole position with the pion decay constant although this approach takes into account only a limited class of contributions we reproduce the expected finite density restoration behaviour which drives the poles towards the real axis producing threshold enhancement and pipi bound states we compare our results with several model approaches and discuss the experimental consequences both in relativistic heavy ion collisions and in pito pipi and gammato pipi reactions in nuclei
|
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|
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|
707.1425
|
How light can the lightest neutralino be?
|
We show that in the Minimal Supersymmetric Standard Model, the mass of the
lightest neutralino is experimentally unconstrained if the GUT relation between
the gaugino mass parameters M_1 and M_2 is dropped. We discuss what the impact
of light or massless neutralinos would be on their production at LEP, as well
as on electroweak precision data and rare decays.
|
hep-ph
|
we show that in the minimal supersymmetric standard model the mass of the lightest neutralino is experimentally unconstrained if the gut relation between the gaugino mass parameters m_1 and m_2 is dropped we discuss what the impact of light or massless neutralinos would be on their production at lep as well as on electroweak precision data and rare decays
|
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|
[-0.06050170665030699, 0.314123237852828, -0.014400794967945855, 0.23529040925915085, -0.07333458686184327, -0.16588742642710774, 0.05708587978832361, 0.357715894290546, -0.21856483267778057, -0.3264048073630212, 0.07366738696701004, -0.3076019073852291, -0.003997832177585717, 0.15977216744203498, -0.020937555438002287, 0.07890234824459431, 0.07560620217000023, 0.07014112427862267, -0.104624745789205, -0.2669427875681954, 0.2998851376538307, 0.009145220899480885, 0.14919448147480519, 0.12399227116099101, 0.029023192197447485, -0.024509162752557608, 0.051231771412550205, -0.14644113161711622, -0.14450290556506243, 0.04255041510056136, 0.1220728845919593, 0.1580129811161403, 0.08196757916929358, -0.30441493088166405, -0.11479586732013435, 0.2241253469581321, 0.17650388983094087, 0.0293998729666474, -0.06822395280114044, -0.3015842945709572, 0.10586771572016622, -0.19278319646462294, -0.07185969439382522, -0.03497282676280366, -0.05919353390049379, -0.14777659762145604, -0.30919280425661194, 0.1382805567424176, -0.09327372636890702, -0.009507271125754816, 0.006412163396539577, -0.18274925801887223, -0.17008828822823274, 0.03045970227143143, 0.2166705896379426, -0.03806221088931217, 0.196666568462437, -0.18706537185678795, -0.11491159779035438, 0.4724009030703771, -0.12122378054556389, -0.18868006674288693, 0.18058425682139093, -0.16605024816373648, -0.1411552026540325, 0.05757457226262254, 0.20575256958225016, 0.09390621889635163, -0.13425135561975382, 0.1932454639078923, -0.07651057548157997, 0.18729726493090265, 0.07581502205487024, 0.06169186345443635, 0.3343920240778539, 0.2662812881803108, 0.034154582918637384, 0.01756335363794371, -0.04664549297037519, -0.030868207088718982, -0.41988465128371777, -0.12791623661326149, -0.08057211384855968, 0.0427722954743747, -0.07624396536513074, -0.076988487299216, 0.33127908676989, 0.15062432971356784, 0.29815112587885334, 0.08187658082441253, 0.3442770321774533, 0.055411754913975375, 0.07125673497932315, 0.01403329847380519, 0.36425701149155276, 0.09526190131713273, 0.062317380073906505, -0.2462475246955025, -0.029829954223360045, 0.066984539078075]
|
707.1426
|
Cosmological evolution of regularized branes in 6D warped flux
compactifications
|
We study the cosmological evolution of extended branes in 6D warped flux
compactification models. The branes are endowed with the three ordinary spatial
dimensions, which are assumed to be homogeneous and isotropic, as well as an
internal extra dimension compactified on a circle. We embed these codimension 1
branes in a static bulk 6D spacetime, whose geometry is a solution of 6D
Einstein-Maxwell or Einstein-Maxwell-dilaton theories, corresponding to a
warped flux compactification. The brane matter consists of a complex scalar
field which is coupled to the bulk U(1) gauge field. In both models, we show
that there is critical point which the brane cannot cross as it moves in the
bulk. We study the cosmological behaviour, especially when the brane approaches
this critical point or one of the two conical singularities. In the present
setup where the bulk geometry is fixed, we find that the brane cosmology does
not coincide with the standard one in the low energy limit.
|
hep-th astro-ph gr-qc
|
we study the cosmological evolution of extended branes in 6d warped flux compactification models the branes are endowed with the three ordinary spatial dimensions which are assumed to be homogeneous and isotropic as well as an internal extra dimension compactified on a circle we embed these codimension 1 branes in a static bulk 6d spacetime whose geometry is a solution of 6d einsteinmaxwell or einsteinmaxwelldilaton theories corresponding to a warped flux compactification the brane matter consists of a complex scalar field which is coupled to the bulk u1 gauge field in both models we show that there is critical point which the brane cannot cross as it moves in the bulk we study the cosmological behaviour especially when the brane approaches this critical point or one of the two conical singularities in the present setup where the bulk geometry is fixed we find that the brane cosmology does not coincide with the standard one in the low energy limit
|
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|
[-0.15023613644880243, 0.13960345594978207, -0.0595236760127591, 0.09692256678754348, -0.09485366462176899, -0.1752523061208194, -0.07481215757215978, 0.3071867832375574, -0.178298797539901, -0.2537885930185439, 0.12322110924433219, -0.2753391806152649, -0.11917687756358646, 0.09860175972862635, -0.0728536653536139, -0.011304169909635675, -0.05761729560326785, 0.0724103230284527, -0.09588393122248817, -0.2600576966549852, 0.41562563654151746, 0.008419014856917784, 0.2714386477309745, 0.011018690768105443, 0.10090944721305277, -0.06502034028744674, 0.03987215787637979, 0.08287383015558589, -0.1392467511065661, 0.08529844154545571, 0.20762545819366096, 0.05026745217401185, 0.10686705287953373, -0.44649454904720187, -0.27101948820345567, 0.12016914155974519, 0.19194118731247728, 0.1443454631640634, -0.000891360661626095, -0.25495214796974325, 0.05093988688895479, -0.1374999107851181, -0.182632806359652, -0.03238157393279835, -0.0212771885926486, -0.08425772103073541, -0.2249737815815024, 0.04910995292739244, 0.018976405297144082, 0.015898169460706414, -0.08904137521349184, -0.04113334285939345, -0.10357253617694369, 0.06365755208698828, 0.14805078487843276, 0.06808071571285837, 0.15238630498643033, -0.17235366897220955, -0.12393723450149992, 0.3882991382066393, -0.11482167486392428, -0.2795660451054573, 0.18181936240580399, -0.1728181122471142, -0.117522655101493, 0.11350395106564974, 0.10557373309275135, 0.18823851825727617, -0.09728882689860256, 0.2194164173428362, -0.03225154641550034, 0.15963837575582146, 0.07728360930923373, 0.012724605615949259, 0.3021041196945589, 0.1449882567525492, 0.06975346820836421, 0.11952160047876532, -0.0809774262495921, -0.14043255570577456, -0.4055293742567301, -0.1629496927220316, -0.12242895208764822, 0.15149098798738123, -0.18779957932119942, -0.21910308562219144, 0.3465895008586813, 0.09040813801984768, 0.21892438136273995, -0.006699181392468745, 0.24219200476363767, 0.05955042001223774, 0.057087144555407573, 0.09358308135997503, 0.2728815690243209, 0.07771924653061432, 0.08314268371614161, -0.18599178013391793, -0.14325986173789715, 0.12001952016289578]
|
707.1427
|
Analytic perturbation theory versus 1/N expansion in the Gross-Neveu
model
|
The 1/N expansion can be successfully used to calculate the Green functions
of the two-dimensional O(2N) Gross - Neveu model. In parallel, the methods of
analytic perturbation theory are also applied. Comparing the results of these
two calculations at leading order, we report on the surprising agreement
between them.
|
hep-ph hep-th
|
the 1n expansion can be successfully used to calculate the green functions of the twodimensional o2n gross neveu model in parallel the methods of analytic perturbation theory are also applied comparing the results of these two calculations at leading order we report on the surprising agreement between them
|
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|
[-0.09255471485084854, 0.03842361771967262, -0.12043989992040831, 0.12107396498322487, 0.017786159747629426, -0.05721227803345149, 0.021219623587967362, 0.36132147213599336, -0.20169282017741352, -0.2886359498370439, 0.0710544370789042, -0.30107955836380523, -0.17916564926660308, 0.20205844834951373, 0.03487970877904445, 0.06378778454381973, 0.003513566955613593, 0.0208969028123344, -0.10927131950544815, -0.2822532000330587, 0.276426178587523, 0.01154007661777238, 0.27813421507986885, 0.060313766123726964, 0.0052313690054385615, -0.025879720749799162, -0.06795349256329548, 0.04212439537514001, -0.15551503367411593, 0.1560142775803494, 0.228978503573065, 0.00445918151914763, 0.2160365725091348, -0.50337189125518, -0.1425451189861633, 0.04507529895636253, 0.13640413620548011, 0.14899797448015306, 0.009246220800074903, -0.2252843921111586, 0.08119648982149859, -0.20226278767222539, -0.15594452417766055, -0.1555479756789282, -0.04503068691701628, 0.03816007033068066, -0.2668795573990792, 0.08101225224709196, -0.03358904745740195, -0.01697979601294719, -0.061939698328690916, -0.1262541459679293, -0.00025569533560580265, 0.15497128414184166, 0.04843580846742649, 0.08452218621581171, 0.05716126436406436, -0.08632466004928574, -0.14930158246230954, 0.38602542572577175, -0.11611620745437297, -0.1573221073304012, 0.18954614773004627, -0.16982175832769522, -0.14141451616887935, 0.08773709144831325, 0.15146317098212117, 0.1333696668916673, -0.10811120244519164, 0.11276822443566441, -0.023673016500348847, 0.11366946708100538, 0.0790040677820798, -0.04170768626636345, 0.14305908630679673, 0.05703126247681212, -0.05540487674685816, 0.13464927992754383, -0.05155763052425755, -0.1443547939804072, -0.3150273967379083, -0.10867175770302613, -0.18856613688209714, 0.014611309471850594, -0.13537506328430027, -0.129040030684943, 0.4156819590134546, 0.17353644589699493, 0.18510941579006612, 0.05500564334215596, 0.2709632015321404, 0.16697429982014, 0.06397640049302329, 0.046946829970693216, 0.24750817871730155, 0.15913895164461186, 0.05875045263868136, -0.2407628381236767, 0.03999999304263232, 0.12223740670985232]
|
707.1428
|
Development of CaMoO4 crystal scintillators for double beta decay
experiment with 100-Mo
|
Energy resolution, alpha/beta ratio, pulse-shape discrimination for gamma
rays and alpha particles, temperature dependence of scintillation properties,
and radioactive contamination were studied with CaMoO4 crystal scintillators. A
high sensitivity experiment to search for neutrinoless double beta decay of
100-Mo by using CaMoO4 scintillators is discussed.
|
nucl-ex
|
energy resolution alphabeta ratio pulseshape discrimination for gamma rays and alpha particles temperature dependence of scintillation properties and radioactive contamination were studied with camoo4 crystal scintillators a high sensitivity experiment to search for neutrinoless double beta decay of 100mo by using camoo4 scintillators is discussed
|
[['energy', 'resolution', 'alphabeta', 'ratio', 'pulseshape', 'discrimination', 'for', 'gamma', 'rays', 'and', 'alpha', 'particles', 'temperature', 'dependence', 'of', 'scintillation', 'properties', 'and', 'radioactive', 'contamination', 'were', 'studied', 'with', 'camoo4', 'crystal', 'scintillators', 'a', 'high', 'sensitivity', 'experiment', 'to', 'search', 'for', 'neutrinoless', 'double', 'beta', 'decay', 'of', '100mo', 'by', 'using', 'camoo4', 'scintillators', 'is', 'discussed']]
|
[0.026706075575202704, 0.33588953328629334, -0.03963624346587393, 0.10601428458725827, 0.015574997896328569, -0.22646811599325803, 0.04949254789907071, 0.45040574106905196, -0.19337482270525974, -0.3554813135984457, -0.010952608137288027, -0.40904767767836653, 0.07571716508310702, 0.2240105236104379, 0.08333176997386747, 0.13409818699583412, 0.02603069038854705, -0.031477024054361716, -0.0880650627426803, -0.168389035264651, 0.12458324290605055, 0.288753468874428, 0.2888736179305447, 0.05645273936291536, 0.0900931970268074, -0.02079461567207343, -0.048418816179037094, -0.1353426869492978, -0.21072689068193237, -0.03703699991520908, 0.2800105424132198, 0.06428882057468097, 0.030550800760587058, -0.300220889887876, -0.17201213352382183, 0.16393210130433242, 0.07990664614157544, -0.13739291326039368, -0.2110278638286723, -0.2975815584676133, 0.11157616751475466, -0.14117425535288122, -0.13397226324046238, -0.019359082418183484, -0.012995371781289577, 0.12064652366356718, -0.2636503639113572, 0.02627151013455457, -0.08251423792292674, 0.04461763252814611, -0.03955990949438678, -0.27264491074925495, 0.15472707978139322, -0.04568561271039976, 0.12345172168376545, -0.05642941092244453, 0.26703144282930424, -0.11052416931423877, -0.08307095194856326, 0.32313117264873453, -0.04275153575258123, -0.09600449827848934, 0.06874359556370312, -0.21699875200995142, -0.12588326304944025, 0.3735953741499947, 0.10260678430268955, 0.08606456343291534, -0.1790089125227597, 0.10046678425278514, 0.13069781829706498, 0.31928913357357186, 0.1843542006280687, 0.056745903607871795, 0.17172606930964524, 0.3008068214688036, -0.03017275219834927, 0.07905810500184694, -0.27218466997146606, 0.12337347583638297, -0.2857917638702525, -0.231608495178322, -0.0829594265229793, 0.08696870097062653, -0.057167858836732595, -0.1494337370619178, 0.35419601889120206, -0.09276922860493263, 0.040548193454742434, -0.0638775222365641, 0.2195763026571108, 0.02416915794213613, -0.026806537413762675, -0.17350502607102194, 0.3530023164012366, 0.23743466259911655, 0.08125626533809635, -0.30369812449854283, 0.07249902202230361, 0.03328063531985714]
|
707.1429
|
Tangential projections and secant defective varieties
|
Going one step further in Zak's classification of Scorza varieties with
secant defect equal to one, we characterize the Veronese embedding of $\P^n$
given by the complete linear system of quadrics and its smooth projections from
a point as the only smooth irreducible complex and non-degenerate projective
subvarieties of $\P^N$ that can be projected isomorphically into $\P^{2n}$ when
$N\geq\binom{n+2}{2}-2$.
|
math.AG
|
going one step further in zaks classification of scorza varieties with secant defect equal to one we characterize the veronese embedding of pn given by the complete linear system of quadrics and its smooth projections from a point as the only smooth irreducible complex and nondegenerate projective subvarieties of pn that can be projected isomorphically into p2n when ngeqbinomn222
|
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|
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|
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