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quant-ph9603021	i	consider the following experimental arrangement . a particle moves in one dimension , along the @xmath0 axis . a detector is placed in the position @xmath1 . let @xmath2 be the time at which the particle is detected , which we denote as the `` time - of - arrival '' of the particle at @xmath3 . can we predict @xmath2 f...	we consider a solution to this problem based on the spectral decomposition of the particle s ( heisenberg ) state into the eigenstates of a suitable operator , which we denote as the `` time - of - arrival '' operator . we discuss the general properties of this operator . we construct the operator explicitly in the sim...	we study the problem of computing the probability for the time - of - arrival of a quantum particle at a given spatial position . we consider a solution to this problem based on the spectral decomposition of the particle s ( heisenberg ) state into the eigenstates of a suitable operator , which we denote as the `` time...
1109.3909	i	an important class of problems in quantum systems is that of quantum quench , where a parameter in the hamiltonian varies with time , typically attaining constant values at early and late times . starting with some initial state , the problem is to determine the nature of the final state . this problem has recently att...	the model involves a probe neutral scalar field with mass - squared in the range in a charged black brane background . for a given brane background there is a critical mass - squared , such that for the scalar field condenses . the theory is critical when and the source for the dual operator vanishes . at the critical ...	we study the problem of quantum quench across a critical point in a strongly coupled field theory using ads / cft techniques . the model involves a probe neutral scalar field with mass - squared in the range in a charged black brane background . for a given brane background there is a critical mass - squared , such tha...
hep-ph0212115	i	future linear colliders are expected to reveal the answers to many questions of modern particle physics . one of these concerns the the physics of the higgs particle and origin of electroweak symmetry breaking . the neutral scalar higgs boson is an important ingredient of the standard model ( sm ) and is the only sm el...	the only source of all the logarithms to this accuracy is the off - shell sudakov form factor included into the triangle topologies of the one - loop box diagram . we prove that any other configurations of diagrams to this accuracy , either cancel in subgroups or develop a universal on - shell sudakov exponent due to t...	we study the resummation of large qcd radiative corrections up to the next to leading logarithmic accuracy to the process ; i.e. , we resum logarithms of the type and ( is the quark mass ) . the only source of all the logarithms to this accuracy is the off - shell sudakov form factor included into the triangle topologi...
hep-ph0212115	i	in this paper we have studied the resummation up to the next to leading logarithmic level of the qcd radiative corrections to @xmath331 production by photon photon collisions . apart from the phenomenological applications , this problem has inherent interest in providing a theoretical laboratory to study qcd effects . ...	we study the resummation of large qcd radiative corrections up to the next to leading logarithmic accuracy to the process ; i.e. , we resum logarithms of the type and ( is the quark mass ) . mctp-02 - 66 + * on the resummation of large qcd corrections to * + _ michigan center for theoretical physics + randal...	we study the resummation of large qcd radiative corrections up to the next to leading logarithmic accuracy to the process ; i.e. , we resum logarithms of the type and ( is the quark mass ) . the only source of all the logarithms to this accuracy is the off - shell sudakov form factor included into the triangle topologi...
cond-mat0608649	i	the investigation of systems involving ferromagnet ( f ) and superconductor ( s ) junctions is an active component of superconductor - based spintronics@xcite research . a broad array of interesting effects arises in s / f nanostructures , which opens doors for nanotechnologies and associated devices and applications t...	the trilayer sfs junction is studied in particular detail : first order transitions between and states as a function of the temperature are located by finding where the free energies of the two phases cross . the occurrence of these transitions is mapped as a function of the thickness of the f layer and of the fermi wa...	we study the thermodynamics of clean , layered superconductor / ferromagnet nanostructures using fully self consistent methods to solve the microscopic bogoliubov - degennes equations . from these self - consistent solutions the condensation free energies are obtained . the trilayer sfs junction is studied in particula...
1406.4819	c	we theoretically studied the transport properties of a corner - junction realized by using a two - dimensional topological insulator shaped in the form of a four - terminal qpc . the coulomb interaction effects , at mean field level , and the reactivation of the spin - orbit coupling due to the tight confinement of the...	we study the transport properties of a four - terminal corner junction made by etching a two - dimensional topological insulator to form a quantum point contact ( qpc ) . peculiar signatures of these effects are theoretically investigated using a scattering field theory modified to take into account the electron - elec...	we study the transport properties of a four - terminal corner junction made by etching a two - dimensional topological insulator to form a quantum point contact ( qpc ) . the qpc geometry enables inter - boundary tunneling processes allowing for the coupling among states with different helicity , while the tight confin...
1104.1560	i	this article is part of a series of works where we study quantitative merging properties of time inhomogeneous finite markov chains . time inhomogeneity leads to a great variety of behaviors . moreover , even in rather simple situations , we are at a loss to study how a time inhomogeneous markov chain might behave . he...	we study time - inhomogeneous markov chains with finite state spaces using nash and logarithmic - sobolev inequalities , and the notion of-stability . we develop the basic theory of such functional inequalities in the time - inhomogeneous context and provide illustrating examples . and . .	we study time - inhomogeneous markov chains with finite state spaces using nash and logarithmic - sobolev inequalities , and the notion of-stability . we develop the basic theory of such functional inequalities in the time - inhomogeneous context and provide illustrating examples . and . .
1406.6530	i	studies of the radiative capture reactions on numerous light atomic nuclei have been continued at thermal and astrophysical energies with the model - independent pionless effective field theory ( eft(@xmath0 ) ) approach in the recent years @xcite-@xcite . the calculation of radiative capture amplitude and cross sectio...	we take a new look at the neutron radiative capture by a deuteron at thermal energy with the pionless effective field theory ( eft( ) ) approach . , we consider all possible one - body and two - body photon interaction diagrams . we compare the cross section of the dominant magnetic m1-transition of up to next - to - n...	we take a new look at the neutron radiative capture by a deuteron at thermal energy with the pionless effective field theory ( eft( ) ) approach . we present in detail the calculation of amplitudes for incoming doublet and quartet channels leading to the formation of a triton fully in the projection method based on the...
1406.6530	r	in this work , we have concentrated on the evaluation of the cross section of the @xmath1 @xmath2 process up to @xmath3 . our eft(@xmath0 ) results for the amplitudes and cross sections of the @xmath1 @xmath2 process at thermal energy , @xmath178 mev are shown in table [ tab : results ] . we compare schematically our e...	we present in detail the calculation of amplitudes for incoming doublet and quartet channels leading to the formation of a triton fully in the projection method based on the cluster - configuration space approach . in the present work in fact , additional diagrams that make significant changes in the results of the cal...	we take a new look at the neutron radiative capture by a deuteron at thermal energy with the pionless effective field theory ( eft( ) ) approach . we present in detail the calculation of amplitudes for incoming doublet and quartet channels leading to the formation of a triton fully in the projection method based on the...
physics0605117	i	this work is inspired by the problem of predicting the effects of earthquakes in cities . it is known that the most dangerous effects are produced in cities built on soft underground underlain by a hard substratum . a simple model of the city is considered herein in which the buildings are absent ( i.e. , the ground is...	we treat the case of a flat stress - free surface ( i.e. , the ground in seismological applications ) separating air from a homogeneous , isotropic , solid substratum overlain by a homogeneous , isotropic , solid layer ( in contact with the ground ) solicited by a sh plane body wave incident in the substratum .	we treat the case of a flat stress - free surface ( i.e. , the ground in seismological applications ) separating air from a homogeneous , isotropic , solid substratum overlain by a homogeneous , isotropic , solid layer ( in contact with the ground ) solicited by a sh plane body wave incident in the substratum . the ana...
physics0605117	c	the main result of this contribution is that the three methods give rise to the same solutions for a large variety of scattering configurations . the complex frequency pole - residue convolution method turns out to be the most interesting method since : i ) it is numerically - efficient , ii ) it is explicit as concern...	three methods are elaborated for the computation of the time history and give rise to the same numerical solutions for a large variety of configurations of interest in the geophysical setting under the hypothesis of non - dissipative , dispersionless media . the method appealing to the complex eigenfrequency representa...	we treat the case of a flat stress - free surface ( i.e. , the ground in seismological applications ) separating air from a homogeneous , isotropic , solid substratum overlain by a homogeneous , isotropic , solid layer ( in contact with the ground ) solicited by a sh plane body wave incident in the substratum . the ana...
0707.3998	i	star formation is one of the most important astrophysical processes , but because it takes place on small physical scales and behind heavy optical obscuration , observations of the early phases of star formation have generally been limited to the milky way . only in recent years have these studies begun to be extended ...	we use _ spitzer space telescope _ observations from the _ spitzer _ survey of the small magellanic cloud ( smc ) to study the young stellar content of n66 , the largest and brightest region in the smc . the observable properties of the ysos appear consistent with those in the milky way .	we use _ spitzer space telescope _ observations from the _ spitzer _ survey of the small magellanic cloud ( smc ) to study the young stellar content of n66 , the largest and brightest region in the smc . in addition to large numbers of normal stars , we detect a significant population of bright , red infrared sources ...
0707.3998	r	for the purposes of this study , we limited our point - source fitting to a @xmath20 region covering the full extent of the hot dust emission from n66 seen in our 24 @xmath13 m image ( from 005751 to 010037 and from @xmath21721648 to @xmath21720419 [ all coordinates j2000.0 ] ) . in this box , we detect 6544 sour...	we present color selection criteria that can be used to identify a relatively clean sample of ysos with irac photometry . although the ysos are heavily concentrated within the optically bright central region of n66 , there is ongoing star formation throughout the complex and we place a lower limit on the star formation...	we use _ spitzer space telescope _ observations from the _ spitzer _ survey of the small magellanic cloud ( smc ) to study the young stellar content of n66 , the largest and brightest region in the smc . in addition to large numbers of normal stars , we detect a significant population of bright , red infrared sources ...
0707.3998	c	the census of previously known embedded protostars in the smc consists of a single object discovered by @xcite . @xcite and @xcite used variability data and imaging to uncover a small sample of herbig ae / be stars in the smc , and @xcite discovered several hundred low - mass pre - main - sequence stars in n66 via iso...	this represents the first large - scale attempt at blind source classification based on _ spitzer _ seds in another galaxy . we firmly identify at least 61 ysos , with another 50 probable ysos ; only one embedded protostar in the smc was reported in the literature prior to the smc . our fitted seds indicate that the in...	we use _ spitzer space telescope _ observations from the _ spitzer _ survey of the small magellanic cloud ( smc ) to study the young stellar content of n66 , the largest and brightest region in the smc . in addition to large numbers of normal stars , we detect a significant population of bright , red infrared sources ...
0707.3998	i	we have obtained mid - infrared imaging of the region n66 ( ngc 346 ) in the smc with the irac and mips instruments on the _ spitzer space telescope_. we detected 8011 unique sources , with photometric coverage extending from @xmath16-band to 24 @xmath13 m ( 70 @xmath13 m in a few cases ) . most of these sources ...	in addition to large numbers of normal stars , we detect a significant population of bright , red infrared sources that we identify as likely to be young stellar objects ( ysos ) . we use spectral energy distribution ( sed ) fits to classify objects as ordinary ( main sequence or red giant ) stars , asymptotic giant br...	we use _ spitzer space telescope _ observations from the _ spitzer _ survey of the small magellanic cloud ( smc ) to study the young stellar content of n66 , the largest and brightest region in the smc . in addition to large numbers of normal stars , we detect a significant population of bright , red infrared sources ...
cond-mat0209608	i	interest in the properties of magnetic nanoparticles has grown recently , partly because of advances in synthesis and measurement techniques and partly because of potential applications for high storage - density magnetic media and spin electronics . ferromagnetic nanoparticles with diameters of a few nanometers contai...	we use a microscopic slater - koster tight - binding model with short - range exchange and atomic spin - orbit interactions that realistically captures generic features of ferromagnetic metal nanoparticles to address the mesoscopic physics of magnetocrystalline anisotropy and hysteresis in nanoparticle quasiparticle ex...	we use a microscopic slater - koster tight - binding model with short - range exchange and atomic spin - orbit interactions that realistically captures generic features of ferromagnetic metal nanoparticles to address the mesoscopic physics of magnetocrystalline anisotropy and hysteresis in nanoparticle quasiparticle ex...
astro-ph0606615	c	we have developed a generalized post - processor analysis tool that couples ray - tracing in the kerr metric with global grmhd simulations to produce light curves and power spectra of accreting black holes . using a variety of emission models , we probe different regions of the accretion disk and are better able to und...	we apply three basic emission models to sample different properties of the time - dependent accretion disk . with one of these models , which assumes thermal blackbody emission and free - free absorption , we can predict qualitative features of the high - frequency power spectrum from stellar - mass black holes in the ...	we use a relativistic ray - tracing code to calculate the light curves observed from a global general relativistic magneto - hydrodynamic simulation of an accretion flow onto a schwarzschild black hole . we apply three basic emission models to sample different properties of the time - dependent accretion disk . with on...
1104.0933	i	under the influence of gravity , disk galaxies are expected to assemble in an `` inside - out '' fashion : stars form first from high - density gas in the central region of the galaxy where the potential is deepest , and subsequently at increasing galacto - centric radii ( e.g. * ? ? ? an immediate consequence of this ...	we use a suite of numerical simulations to investigate the mechanisms and effects of radial migration of stars in disk galaxies like the milky way ( mw ) . an isolated , collisionless stellar disk with a mw - like this level of migration would add considerable dispersion to the age - metallicity relation of solar neigh...	we use a suite of numerical simulations to investigate the mechanisms and effects of radial migration of stars in disk galaxies like the milky way ( mw ) . an isolated , collisionless stellar disk with a mw - like scale - height shows only the radial `` blurring '' expected from epicyclic orbits . reducing the disk thi...
1104.0933	r	figure [ fig : sims ] presents surface density maps of the stellar distributions of our four collisionless galactic disks with different initial scale - heights @xmath61 . each simulation exhibits a distinctive combination of morphological features that could affect radial migration . the initial smooth disks are unst...	we also examine collisionless disks subjected to gravitational perturbations from a cosmologically motivated satellite accretion history . in the perturbed disk that best reproduces the observed properties of the mw , 20% of stars that end up in the solar annulus started at , and 7% started at . the probability of migr...	we use a suite of numerical simulations to investigate the mechanisms and effects of radial migration of stars in disk galaxies like the milky way ( mw ) . an isolated , collisionless stellar disk with a mw - like scale - height shows only the radial `` blurring '' expected from epicyclic orbits . reducing the disk thi...
1405.6965	i	conformal mapping techniques are powerful tools for analyzing two dimensional models , and have been applied to a variety of problems @xcite including aerodynamics @xcite , fluid flows @xcite , free boundary problems @xcite potential theory / electrostatics @xcite , elasticity @xcite and even computer vision @xcite . a...	we use conformal maps to study a free boundary problem for a two - fluid electromechanical system , where the interface between the fluids is determined by the combined effects of electrostatic forces , gravity and surface tension . we successfully apply our method to the electromechanical model problem and discuss how...	we use conformal maps to study a free boundary problem for a two - fluid electromechanical system , where the interface between the fluids is determined by the combined effects of electrostatic forces , gravity and surface tension . the free boundary in our system develops sharp corners / singularities in certain param...
1405.6965	c	in this paper , we develop an adaptive numerical conformal mapping method for efficiently computing multiple scale structures in 2 dimensional problems . the central result is that , with our method , we can use conformal mapping techniques to analyze structures that have widely disparate length scales . this is a sign...	the free boundary in our system develops sharp corners / singularities in certain parameter regimes , and this is an impediment to using existing single - scale " numerical conformal mapping methods . we develop a multi - scale " ( i.e. adaptive ) conformal mapping method that allows us to carry out this program of s...	we use conformal maps to study a free boundary problem for a two - fluid electromechanical system , where the interface between the fluids is determined by the combined effects of electrostatic forces , gravity and surface tension . the free boundary in our system develops sharp corners / singularities in certain param...
cond-mat0309509	i	the prospect of manipulating the electron spin to store and transport information in semiconductor devices has led to renewed interest in the physics of transition metal ( tm ) impurities in semiconductors - an area which was intensively studied in the eighties @xcite . current interest @xcite in achievement of ferroma...	we use first - principle calculations for transition metal impurities v , cr , mn , fe , co and ni in gaas as well as cr and mn in gan , gap and gasb to identify the basic features of the electronic structure of these systems . the microscopic details of the hole state such as the symmetry and the orbital character , a...	we use first - principle calculations for transition metal impurities v , cr , mn , fe , co and ni in gaas as well as cr and mn in gan , gap and gasb to identify the basic features of the electronic structure of these systems . the microscopic details of the hole state such as the symmetry and the orbital character , a...
cond-mat0309509	r	we now divide the main features of the first principle calculations into three main entities introduced in section i : a. the nature of the impurity - induced level in the gap b. the impurity - induced valence - band resonances c. the perturbed host vbm then , in section v , we will provide a simple model t...	we find that the introduction of a transition metal impurity in iii - v semiconductor introduces a pair of levels with symmetry - one localized primarily on the transition metal atom referred to as crystal - field resonance ( cfr ) and the other localized primarily on the neighboring anions referred to as the dangling ...	we use first - principle calculations for transition metal impurities v , cr , mn , fe , co and ni in gaas as well as cr and mn in gan , gap and gasb to identify the basic features of the electronic structure of these systems . the microscopic details of the hole state such as the symmetry and the orbital character , a...
astro-ph9611077	i	mapping the large - scale structure ( lss ) of the universe is one of the major goals of observational cosmology . traditionally this is performed using large surveys of galaxies , either the projected 2-dimensional distributions or the 3-dimensional surveys in redshift space . the main shortcoming of the galaxy survey...	weak lensing by large scale structure induces correlated ellipticities in the images of distant galaxies . nonlinear effects in the evolution of the power spectrum significantly enhance the ellipticity for for the rms ellipticity is , which is nearly twice as large as the linear prediction . the scaling with cosmologi...	weak lensing by large scale structure induces correlated ellipticities in the images of distant galaxies . the two - point correlation is determined by the matter power spectrum along the line of sight . we use the fully nonlinear evolution of the power spectrum to compute the predicted ellipticity correlation . we pre...
1105.1949	c	in this paper the microphase separation in binary ( a , b ) bottlebrush polymers with rigid backbones driven by decrease of temperature ( i.e. , variation of the solvent quality from theta solvents to poor solvents ) was studied , considering also the variation of grafting density along the backbone of these cylindrica...	starting from this analogy , leibler s theory of microphase separation in block copolymer melts is generalized to derive a description of the system in the weak segregation limit . various correlation functions are analyzed to study the conditions when ( local ) janus cylinder - type ordering and when ( local ) micr...	when two types of side chains ( a , b ) are densely grafted to a ( stiff ) backbone and the resulting bottle - brush polymer is in a solution under poor solvent conditions , an incompatibility between a and b leads to microphase separation in the resulting cylindrical brush . the possible types of ordering are reminisc...
0805.3751	i	let @xmath2 denote the unique simply connected complete @xmath1-dimensional riemannian manifold with constant sectional curvature @xmath3 , which we call the hyperbolic @xmath1-space . associated to a complete finite - total - curvature -@xmath0 ( constant mean curvature one ) conformal immersion @xmath4 of a riemann s...	the purpose of this paper is to construct countably many-parameter families of genus zero - surfaces with irregular ends and finite total curvature , which have either dihedral or platonic symmetries . for all the examples we produce , we show that they have finite total curvature and irregular ends . for the examples ...	with the developments of the last decade on complete constant mean curvature ( - ) surfaces in the hyperbolic-space , many examples of such surfaces are now known . however , most of the known examples have regular ends . ( an end is irregular , resp . regular , if the hyperbolic gauss map of the surface has an essent...
quant-ph0303152	c	within the frame of macroscopic qed , we have derived an expression for the vdw potential of an atomic system near an arbitrary configuration of dispersing and absorbing bodies . it generalizes the results obtained by means of normal - mode expansion and may be regarded as a foundation of the results inferred from line...	it is shown that the minimal - coupling scheme and the multipolar - coupling scheme lead to essentially the same formula for the van der waals potential . as an application , closed expressions for the long - distance ( retardation ) and short - distance ( non - retardation ) limits are given , and the effect of materi...	within the frame of macroscopic quantum electrodynamics in causal media , the van der waals interaction between an atomic system and an arbitrary arrangement of dispersing and absorbing dielectric bodies including metals is studied . it is shown that the minimal - coupling scheme and the multipolar - coupling scheme le...
1003.1615	r	the elastic " process for the @xmath73 reaction is shown in fig . the @xmath1 gets absorbed on a pair of protons in the target nucleus and produces a @xmath2-@xmath3 pair . this pair is detected in coincidence in the final state . no measurements are made on the recoiling nucleus , hence the measurements are inclusive...	absorption is assumed to occur on two protons in the nucleus . in the formalism calculations are presented for thec nucleus , using shell model wave functions , and without any extra mass modification of the system in the nucleus . these results are compared with the corresponding experimental measurements . with only...	emission in coincidence following absorption at rest in nuclei is studied using quantum mechanical scattering theory and nuclear wave functions . absorption is assumed to occur on two protons in the nucleus . in the formalism , emphasis is put on the study of the final state interaction ( fsi ) effects of and with th...
1003.1615	i	we have calculated the inclusive differential absorption probability for @xmath1 at rest in @xmath4c nucleus for the @xmath0 exit channel . the @xmath1 is assumed to be absorbed on a pair of protons in the nucleus . the final state interaction in the reaction includes the elastic scattering of @xmath2 and @xmath169 in ...	we include elastic scattering and single nucleon knock - out ( ko ) channels in the fsi . included , the angular correlation distribution and the momentum spectra are found to be in good accord with the corresponding measurements . with full fsi the ko peak agrees fully , in position and shape , with the peak observed ...	emission in coincidence following absorption at rest in nuclei is studied using quantum mechanical scattering theory and nuclear wave functions . absorption is assumed to occur on two protons in the nucleus . in the formalism , emphasis is put on the study of the final state interaction ( fsi ) effects of and with th...
0806.0045	i	laser - plasma interaction ( lpi ) @xcite is an important plasma - physics problem which poses serious challenges to theoretical modeling . lpi is the basis of several applications , including laser - based particle acceleration @xcite and the backward raman amplifier @xcite . moreover , for inertial confinement fusion...	pump depletion , inverse - bremsstrahlung damping , bremsstrahlung emission , thomson scattering off density fluctuations , and whole - beam focusing are included . the numerical code deplete , which implements this model , is described . the model is compared with traditional linear gain calculations , as well as `` p...	a 1d , steady - state model for brillouin and raman backscatter from an inhomogeneous plasma is presented . the daughter plasma waves are treated in the strong damping limit , and have amplitudes given by the ( linear ) kinetic response to the ponderomotive drive . pump depletion , inverse - bremsstrahlung damping , br...
0806.4127	i	in surface design , the user often needs to perform rounding or filleting between two intersecting surfaces . mathematically , the surface used in making the rounding is defined as the envelope of a family of spheres which are tangent to both surfaces . this envelope of spheres centered at @xmath1 with radius @xmath2 ,...	a canal surface is an envelope of a one parameter family of spheres . in this paper we define the-basis for arbitrary dimension and give a simple algorithm for its computation . this is then applied to the dual variety , which allows us to deduce the implicit equations of the the dual variety , the canal surface and an...	a canal surface is an envelope of a one parameter family of spheres . in this paper we present an efficient algorithm for computing the implicit equation of a canal surface generated by a rational family of spheres . by using laguerre and lie geometries , we relate the equation of the canal surface to the equation of a...
1611.01782	i	a _ proper colouring _ of a graph is a labeling of its vertices with colours such that no two vertices sharing the same edge have the same colour . the smallest number of colours in a proper colouring of a graph @xmath2 is called its _ chromatic number _ , and it is denoted by @xmath3 . in this paper we are concerne...	a clique colouring of a graph is a colouring of the vertices so that no maximal clique is monochromatic ( ignoring isolated vertices ) . the smallest number of colours in such a colouring is the clique chromatic number . in this paper we see that the typical clique chromatic number , as a function of the average degree...	a clique colouring of a graph is a colouring of the vertices so that no maximal clique is monochromatic ( ignoring isolated vertices ) . the smallest number of colours in such a colouring is the clique chromatic number . in this paper , we study the asymptotic behaviour of the clique chromatic number of the random grap...
math0603023	i	since cayley @xcite in 1857 and 100 years later merson @xcite and followed shortly after by butcher @xcite , it has been known that rooted trees are extremely useful for structuring algebras of differential operators and elementary differentials . in 1972 butcher @xcite produced the far - reaching result that runge ...	a commutative but not cocommutative graded hopf algebra , based on ordered rooted trees , is studied . this hopf algebra generalizes the hopf algebraic structure of unordered rooted trees , developed by butcher in his study of runge kutta methods and later rediscovered by connes and moscovici in the context of non - c...	a commutative but not cocommutative graded hopf algebra , based on ordered rooted trees , is studied . this hopf algebra generalizes the hopf algebraic structure of unordered rooted trees , developed by butcher in his study of runge kutta methods and later rediscovered by connes and moscovici in the context of non - c...
math0603023	l	there are two interesting commutative graded hopf sub - algebras of @xmath0 obtained by restricting from the set of ordered rooted trees to either the set of tall trees ( that is trees where each parent has one child ) or bushy trees ( that is trees where there is only one parent ) . these hopf sub - algebras are usefu...	contains two well - known hopf algebras as special cases : the hopf algebra of butcher connes kreimer is identified as a proper subalgebra of using the image of a tree symmetrization operator . the hopf algebra of the free associative algebra is obtained from by a quotient construction .	a commutative but not cocommutative graded hopf algebra , based on ordered rooted trees , is studied . this hopf algebra generalizes the hopf algebraic structure of unordered rooted trees , developed by butcher in his study of runge kutta methods and later rediscovered by connes and moscovici in the context of non - c...
cond-mat0303513	i	manganites are currently attracting considerable attention mainly due to the presence of the colossal magnetoresistance effect in magnetotransport measurements@xcite . in addition , these materials have a complex phase diagram with a plethora of ordered phases , a typical characteristic of correlated electron systems ....	a comprehensive analysis of half - doped manganites is presented using monte carlo simulations applied to the double - exchange model with cooperative jahn - teller lattice distortions in two dimensions . a far smaller appears more realistic , in agreement with recent experiments by garcia _ et al . _ and daoud - aladi...	a comprehensive analysis of half - doped manganites is presented using monte carlo simulations applied to the double - exchange model with cooperative jahn - teller lattice distortions in two dimensions . a variety of novel results are reported . in particular : _ ( i ) _ the phase diagram is established in the- plane ...
cond-mat0303513	c	the investigations reported in this paper have unveiled several unexpected properties of half - doped manganites . for example , the ce phase was found to be more sensitive than expected to the addition of quenched disorder . the effort in this context included the calculation of the clean - limit phase diagram in the ...	in particular : _ ( i ) _ the phase diagram is established in the- plane , with the electron - phonon coupling and the antiferromagnetic exchange between classical spins . the results include standard phases , such as the ce - insulating and fm - metallic regimes , but they also include novel states , such as a ferroma...	a comprehensive analysis of half - doped manganites is presented using monte carlo simulations applied to the double - exchange model with cooperative jahn - teller lattice distortions in two dimensions . a variety of novel results are reported . in particular : _ ( i ) _ the phase diagram is established in the- plane ...
1508.07639	i	the use of cepheids as stellar candles requires a deep knowledge of their pulsational characteristics . the separation between fundamental ( @xmath1-mode ) and first - overtone ( @xmath2-mode ) radial pulsators @xcite is still the most relevant distinction to be taken into account to calibrate the period - luminosity r...	therefore , we investigated all the candidate cepheids pointed out by the automatic classification of the corot curves . at the end the light curves were investigated to remove some instrumental effects . on the other hand , cycle - to - cycle variations of the fourier parameters were observed , but very small and alwa...	a few galactic classical cepheids were observed in the programmes of space missions as _ coriolis _ , _ most _ and _ kepler_. an appealing opportunity was to detect additional nonradial modes , thus opening the possibility to perform asteroseismic studies and making the pulsational content of galactic cepheids more sim...
cond-mat0511472	i	dispersions of non - spherical colloidal particles are model systems to study a broad range of phenomena in condensed matter ranging from fluid phase separation to the emergence of liquid crystalline ordering . examples of such systems are clay suspensions @xcite , dispersed gibbsite platelets @xcite , mixtures of sili...	geometrical weight functions that are characteristic for each species are given and it is shown how convolutions of pairs of weight functions recover each mayer bond of the ternary mixture and hence ensure the correct second virial expansion of the excess free energy functional . the case of sphere - platelet overlap r...	a geometry - based density functional theory is presented for mixtures of hard spheres , hard needles and hard platelets ; both the needles and the platelets are taken to be of vanishing thickness . geometrical weight functions that are characteristic for each species are given and it is shown how convolutions of pairs...
cond-mat0511472	r	already the binary subsystems with platelets ( leaving aside the full ternary mixture ) , i.e. the sphere - platelet and rod - platelet mixtures , are expected to display rich bulk and interfacial properties due to the competition between depletion and orientational order . in order to find a simple yet demanding test ...	for binary sphere - platelet mixtures , in the appropriate limit of small platelet densities , the theory differs from that used in a recent treatment [ l. harnau and s. dietrich , phys . we consider the isotropic - nematic bulk transition of pure hard platelets , which we find to be weakly first order , with values fo...	a geometry - based density functional theory is presented for mixtures of hard spheres , hard needles and hard platelets ; both the needles and the platelets are taken to be of vanishing thickness . geometrical weight functions that are characteristic for each species are given and it is shown how convolutions of pairs...
1408.1002	i	recent advances in biotechnology are allowing us to measure cellular properties at an unprecedented level of detail @xcite . for instance , it is now possible to routinely measure various molecular entities ( e.g. dna methylation , mrna and protein expression , snps ) genome - wide in hundreds if not thousands of cellu...	specifically , we propose the notion of cellular signalling entropy ( or uncertainty ) , as a novel means of analysing and interpreting omic data , and more fundamentally , as a means of elucidating systems - level principles underlying basic biology and disease . we describe the power of signalling entropy to discrimi...	a key challenge in systems biology is the elucidation of the underlying principles , or fundamental laws , which determine the cellular phenotype . understanding how these fundamental principles are altered in diseases like cancer is important for translating basic scientific knowledge into clinical advances . while si...