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quant-ph0107150 | i | intermolecular energy transfer as a fundamental process in many biochemical and solid - state systems has been of increasing interest @xcite . it is often distinguished between two cases , namely ( radiationless ) short - range transfer ( also called frster transfer @xcite ) and ( radiative ) long - range transfer . in... | by making use of the green function concept of quantization of the electromagnetic field in kramers kronig consistent media , a rigorous quantum mechanical derivation of the rate of intermolecular energy transfer in the presence of arbitrarily shaped , dispersing , and absorbing material bodies is given . applications... | by making use of the green function concept of quantization of the electromagnetic field in kramers kronig consistent media , a rigorous quantum mechanical derivation of the rate of intermolecular energy transfer in the presence of arbitrarily shaped , dispersing , and absorbing material bodies is given . applications... |
1111.0481 | m | extending our previous work on the simulation of bottle brush polymers with rigid backbones @xcite , we describe both the backbone chain and the side chains by a bead - spring model @xcite , where all beads interact with a truncated and shifted lennard - jones potential @xmath17 and nearest neighbors bonded together ... | side chain lengths are in the range , backbone chain lengths are in the range , and we perform a comparison to results for the bond fluctuation model on the simple cubic lattice ( for which much longer chains are accessible , , and which corresponds to an athermal , very good , solvent ) . we obtain linear dimensions o... | by molecular dynamics simulation of a coarse - grained bead - spring type model for a cylindrical molecular brush with a backbone chain of effective monomers to which with grafting density side chains with effective monomers are tethered , several characteristic length scales are studied for variable solvent quality . ... |
1111.0481 | c | in the present paper , a coarse - grained bead - spring model for bottle brush polymers was studied by molecular dynamics methods , varying both the chain length @xmath0 of the backbone and of the side chains ( @xmath2 ) , for two values of the grafting density , under variable solvent conditions . the main emphasis of... | by molecular dynamics simulation of a coarse - grained bead - spring type model for a cylindrical molecular brush with a backbone chain of effective monomers to which with grafting density side chains with effective monomers are tethered , several characteristic length scales are studied for variable solvent quality . ... | by molecular dynamics simulation of a coarse - grained bead - spring type model for a cylindrical molecular brush with a backbone chain of effective monomers to which with grafting density side chains with effective monomers are tethered , several characteristic length scales are studied for variable solvent quality . ... |
1211.7084 | i | the evolutionary hamilton jacobi equation @xmath0 appears in diverse mathematical models ranging from analytical mechanics to combinatorics , condensed matter , turbulence , and cosmology ( see , e.g. , a non - exhaustive set of references in @xcite ) . in many of these applications the objects of interest are describ... | characteristic curves of a hamilton jacobi equation can be seen as action minimizing trajectories of fluid particles . however this description is valid only for smooth solutions . for nonsmooth `` viscosity '' solutions , which give rise to discontinuous velocity fields , this picture holds only up to the moment when... | characteristic curves of a hamilton jacobi equation can be seen as action minimizing trajectories of fluid particles . however this description is valid only for smooth solutions . for nonsmooth `` viscosity '' solutions , which give rise to discontinuous velocity fields , this picture holds only up to the moment when... |
astro-ph9808120 | i | close binary systems containing a stellar mass ( @xmath0 ) black hole ( bh hereafter ) and a neutron star ( ns ) or a white dwarf ( wd ) would emit gravitational waves ( gw ) . as a result , the two component stars approach each other almost adiabatically . at the final stage of such an evolution , binary systems would... | circularly orbiting black hole gaseous star close binary systems are examined by using _ numerically exact _ stationary configurations in the framework of newtonian gravity . they correspond to a rotating star under the influence of viscosity and to that in the inviscid limit , respectively . by analyzing the stationa... | circularly orbiting black hole gaseous star close binary systems are examined by using _ numerically exact _ stationary configurations in the framework of newtonian gravity . we have chosen a polytropic star for the fluid component of the binary system and considered two ideal situations : 1 ) a synchronously rotating... |
cond-mat0001122 | c | this article is devoted to the study of the triangular frustrated @xmath0 spin system in two dimensions by extensive monte carlo simulations . this system is characterized by two symmetries : a @xmath1 symmetry due to the continuous nature of the @xmath0 spins and an ising symmetry due to the degeneracy of the ground s... | we find that the kosterlitz - thouless transition associated to the symmetry appears at a temperature 0.0020(2 ) below the ising transition at 0.5122(1 ) associated to the symmetry . also the helicity jump at the critical temperature is smaller than in the ferromagnetic case in disagreement with theoretical predictions... | classical spins on a two dimensional triangular lattice with antiferromagnetic interactions are reconsidered . we find that the kosterlitz - thouless transition associated to the symmetry appears at a temperature 0.0020(2 ) below the ising transition at 0.5122(1 ) associated to the symmetry . the ising transition has c... |
0812.4813 | i | recent observations of gamma - ray bursts ( grbs ) suggest that long duration grbs and type ib / c supernova ( sn ) explosions are tightly connected . for example , sn1998bw was observed in the positional error box of grb980425 @xcite . in this case the grb / sn association was based on the spatial and temporal coincid... | collapsars are fast - spinning , massive stars , whose core collapse liberates an energy , that can be channeled in the form of ultrarelativistic jets . these jets transport the energy from the collapsed core to large distances , where it is dissipated in the form of long - duration gamma - ray bursts . in this paper a... | collapsars are fast - spinning , massive stars , whose core collapse liberates an energy , that can be channeled in the form of ultrarelativistic jets . these jets transport the energy from the collapsed core to large distances , where it is dissipated in the form of long - duration gamma - ray bursts . in this paper w... |
0812.4813 | r | the dynamical evolution of our jet models can be split in two phases . the first one happens during the period in which the jet drills its way through the progenitor star . the second one shows up latter , when the jet breaks out of the stellar surface . the dynamics of our models during this two phases if roughly simi... | thus , we employ a number of pre - supernova , stellar models ( with distinct masses and metallicities ) , and inject in all of them jets with fixed initial conditions . a large lorentz factor region develops well before the jet reaches the surface of the star , in the unshocked part of the beam , located between the i... | collapsars are fast - spinning , massive stars , whose core collapse liberates an energy , that can be channeled in the form of ultrarelativistic jets . these jets transport the energy from the collapsed core to large distances , where it is dissipated in the form of long - duration gamma - ray bursts . in this paper w... |
0812.4813 | c | in this paper we explore the relation of the dynamical properties of ultrarelativistic jets generated in collapsars with the properties of the progenitor stars in which such jets propagate . we have particularly focused on the correlations that exist between the angular profile of the energy per solid angle ( as seen i... | we study the dynamics of ultrarelativistic jets produced in collapsars . our main focus is to look for global energetical properties which can be imprinted by the different structure of different progenitor stars . we assume that at the injection nozzle , the jet is mildly relativistic ( lorentz factor ) , has a finite... | collapsars are fast - spinning , massive stars , whose core collapse liberates an energy , that can be channeled in the form of ultrarelativistic jets . these jets transport the energy from the collapsed core to large distances , where it is dissipated in the form of long - duration gamma - ray bursts . in this paper w... |
1307.5631 | i | intuition tells us that a system displays collective behaviour when all individuals spontaneously do the same thing , whatever this thing may be . we surely detect collective behaviour when all birds in a flock fly in the same direction and turn at the same time @xcite , as well as when all spins in a magnet align , gi... | collective behaviour is a widespread phenomenon in biology , cutting through a huge span of scales , from cell colonies up to bird flocks and fish schools . the most prominent trait of collective behaviour is the emergence of global order : individuals synchronize their states , giving the stunning impression that the ... | collective behaviour is a widespread phenomenon in biology , cutting through a huge span of scales , from cell colonies up to bird flocks and fish schools . the most prominent trait of collective behaviour is the emergence of global order : individuals synchronize their states , giving the stunning impression that the ... |
1307.5631 | r | * experiments and tracking . * we perform an experimental study of swarms of wild midges in the field . midges are small non - biting flies belonging to the order diptera , suborder nematocera ( diptera : chironomidae and diptera : ceratopogonidae - see methods ) . the body length of the species we study is in the rang... | though , it is unclear whether global order is present . a paradigmatic case is that of insect swarms , whose erratic movements seem to suggest that group formation is a mere epiphenomenon of the independent interaction of each individual with an external landmark . in these cases , whether or not the group behaves tru... | collective behaviour is a widespread phenomenon in biology , cutting through a huge span of scales , from cell colonies up to bird flocks and fish schools . the most prominent trait of collective behaviour is the emergence of global order : individuals synchronize their states , giving the stunning impression that the ... |
1307.5631 | c | we have shown that natural swarms of midges lack collective order and yet display strong correlations . such correlations extends spatially much beyond the inter - individual distance , indicating the presence of significant cluster of coordinated individuals . this phenomenology is incompatible with a system of nonint... | , we experimentally study swarms of midges in the field and measure how much the change of direction of one midge affects that of other individuals . we demonstrate that such growing correlation is typical of a system close to an ordering transition . our findings suggest that correlation , rather than order , is the t... | collective behaviour is a widespread phenomenon in biology , cutting through a huge span of scales , from cell colonies up to bird flocks and fish schools . the most prominent trait of collective behaviour is the emergence of global order : individuals synchronize their states , giving the stunning impression that the ... |
cond-mat9401040 | i | numerous experiments @xcite have by now examined the properties of @xmath5 spin chain antiferromagnets which posses the haldane gap @xcite . more recently , these antiferromagnets have been placed in a strong magnetic field @xcite , and found to display evidence of a zero temperature phase transition to a state with... | consider a-dimensional antiferromagnet with a quantum disordered ground state and a gap to bosonic excitations with non - zero spin . in a finite external magnetic field , this antiferromagnet will undergo a phase transition to a ground state with non - zero magnetization , describable as the condensation of a dilute g... | consider a-dimensional antiferromagnet with a quantum disordered ground state and a gap to bosonic excitations with non - zero spin . in a finite external magnetic field , this antiferromagnet will undergo a phase transition to a ground state with non - zero magnetization , describable as the condensation of a dilute g... |
1509.08627 | i | deep learning has achieved remarkable successes in object and voice recognition , machine translation , reinforcement learning and other tasks @xcite . from a practical standpoint the problem of supervised learning is well - understood and has largely been solved at least in the regime where both labeled data and comp... | deep learning is currently the subject of intensive study . researchers `` know them when they see them '' and there is no common language for describing and analyzing algorithms . this essay proposes an abstract framework that identifies the essential features of current practice and may provide a foundation for futu... | deep learning is currently the subject of intensive study . however , fundamental concepts such as representations are not formally defined researchers `` know them when they see them '' and there is no common language for describing and analyzing algorithms . this essay proposes an abstract framework that identifies... |
1501.04626 | m | the primary goal of this high resolution spectroscopic investigation of m31 gcs is to study the nature of the stars and clusters in m31 s outer halo . the targets were therefore restricted to gcs with projected distances from the centre of m31 that are @xmath9 kpc ; priority was given to the gcs with the largest projec... | four of the target clusters ( pa06 , pa53 , pa54 , and pa56 ) are metal - poor (~<~-1.5 $ ] ) ,-enhanced ( though they are possibly less-enhanced than milky way stars at the level ) , and show signs of star - to - star na and mg variations . | detailed chemical abundances are presented for seven m31 outer halo globular clusters ( with projected distances from m31 greater than 30 kpc ) , as derived from high resolution integrated light spectra taken with the hobby eberly telescope . five of these clusters were recently discovered in the pan - andromeda archae... |
1501.04626 | c | this paper has presented integrated fe , na , mg , ca , ti , ni , ba , and eu abundances of seven outer halo m31 gcs , five of which were discovered in the pan - andromeda archaeological survey . these detailed il chemical analyses of pandas clusters have identified gcs in an extragalactic system that may have been acc... | five of these clusters were recently discovered in the pan - andromeda archaeological survey ( pandas)this paper presents the first determinations of integrated fe , na , mg , ca , ti , ni , ba , and eu abundances for these clusters . none of the clusters studied here can be conclusively linked to any of the identified... | detailed chemical abundances are presented for seven m31 outer halo globular clusters ( with projected distances from m31 greater than 30 kpc ) , as derived from high resolution integrated light spectra taken with the hobby eberly telescope . five of these clusters were recently discovered in the pan - andromeda archae... |
1701.08810 | i | reinforcement learning ( rl ) @xcite is a machine learning framework intending to optimise the behaviour of an agent interacting with an unknown environment . for the most practical problems , trajectory collection is costly and sample efficiency is the main key performance indicator this is for instance the case for ... | a meta - algorithm is given for input a portfolio constituted of several off - policy reinforcement learning algorithms . its principle is to freeze the policy updates at each epoch , and to leave a rebooted stochastic bandit in charge of the algorithm selection . under some assumptions , a thorough theoretical analysi... | dialogue systems rely on a careful reinforcement learning design : the learning algorithm and its state space representation . in lack of more rigorous knowledge , the designer resorts to its practical experience to choose the best option . in order to automate and to improve the performance of the aforementioned proce... |
1512.03551 | i | many manmade systems of the present day are networks of a large number of cooperating standalone units . examples of such systems include power grids , transportation and water distribution networks , telephone networks , the internet , the global financial network and social networks @xcite . the appealing features of... | distributed gossip algorithm has been studied in literature for practical implementation of the distributed consensus algorithm as a fundamental algorithm for the purpose of in - network collaborative processing . is proposed which can reach the optimal convergence rate of the continuous - time consensus algorithm . it... | distributed gossip algorithm has been studied in literature for practical implementation of the distributed consensus algorithm as a fundamental algorithm for the purpose of in - network collaborative processing . this paper focuses on optimizing the convergence rate of the gossip algorithm for both classical and quant... |
1512.03551 | c | we have optimized the convergence rate of the gossip algorithm for both classical and quantum networks . in contrast to previous models of the gossip algorithm in literature , in this paper we have proposed a novel model of the gossip algorithm with non - uniform clock distribution . this is done to propose and optimiz... | this paper focuses on optimizing the convergence rate of the gossip algorithm for both classical and quantum networks . a novel model of the gossip algorithm with non - uniform clock distribution the original optimization problem is formulated as a convex optimization problem , which can be addressed by semidefinite pr... | distributed gossip algorithm has been studied in literature for practical implementation of the distributed consensus algorithm as a fundamental algorithm for the purpose of in - network collaborative processing . this paper focuses on optimizing the convergence rate of the gossip algorithm for both classical and quant... |
1603.01123 | i | the magnetically doped zinc oxide holds a great promise for implementations in optoelectronic devices.@xcite as a member of a wide bandgap semiconductor family it is characterized by a small lattice constant , a possible large _ p - d _ hybridization , a small spin - orbit interaction , and a large exciton oscillator s... | dopants of transition metal ions in ii - vi semiconductors exhibit native 2 + valency . despite this , 3 + or mixed 3+/2 + valency of iron ions in zno was reported previously . several contradictory mechanisms have been put forward for explanation of this fact so far . here , we analyze fe valency in zno by complementa... | dopants of transition metal ions in ii - vi semiconductors exhibit native 2 + valency . despite this , 3 + or mixed 3+/2 + valency of iron ions in zno was reported previously . several contradictory mechanisms have been put forward for explanation of this fact so far . here , we analyze fe valency in zno by complementa... |
1207.1598 | i | the study of phase diagrams of ionic systems in which the phase separation is mainly driven by electrostatic forces is of great fundamental interest and practical importance . electrolyte solutions , molten salts , ionic liquids and charge - colloidal suspensions are examples of systems with dominant coulomb interactio... | we perform a stability analysis of the primitive model ( pm ) of ionic systems with respect to periodic ordering using the collective variables based theory . we extend previous studies [ a. ciach et al . , phys . rev.e * 75 * , 051505 ( 2007 ) ] in several ways . first , we employ a non - local approximation for the r... | effects of size and charge asymmetry between oppositely charged ions or particles on spatial inhomogeneities are studied for a large range of charge and size ratios . we perform a stability analysis of the primitive model ( pm ) of ionic systems with respect to periodic ordering using the collective variables based the... |
cond-mat0212643 | i | muon spin relaxation ( @xmath0sr ) technique [ 1 - 3 ] has made significant contributions to studies of high-@xmath2 superconductors ( htsc ) . measurements in transverse - fields ( tf-@xmath0sr ) provide a reliable way to determine the magnetic field penetration depth @xmath1 of type - ii superconductors and to infer ... | system dependence of ( superconducting carrier density / effective mass ) reveals universal correlations between and in all these cases with / without perturbation . we discuss implication of these results on condensation mechanisms of htsc systems , resorting to an analogy with purehe andhe/he mixture films on regular... | extensive muon spin relaxation (sr ) measurements have been performed to determine the magnetic field penetration depth in high cuprate superconductors with simple hole doping , zn - doping , overdoping , and formation of static sdw nano islands . system dependence of ( superconducting carrier density / effective mass ... |
cond-mat0212643 | i | in this paper , we showed that @xmath2 in htsc cuprate systems exhibits universal correlations with the superfluid spectral weight @xmath3 , for the cases of simple hole doping , as well as for more complicated cases with zn - doping , overdoping and static sdw nano island formation , where the system undergoes spontan... | extensive muon spin relaxation (sr ) measurements have been performed to determine the magnetic field penetration depth in high cuprate superconductors with simple hole doping , zn - doping , overdoping , and formation of static sdw nano islands . evidence for spontaneous and microscopic phase separation into normal an... | extensive muon spin relaxation (sr ) measurements have been performed to determine the magnetic field penetration depth in high cuprate superconductors with simple hole doping , zn - doping , overdoping , and formation of static sdw nano islands . system dependence of ( superconducting carrier density / effective mass ... |
1603.06593 | c | in this paper , we discussed the effect of various and different types of mass - loss and mass - transfer processes on the orbital evolution of eccentric binary systems . we made use of the general formulation and the phase - dependent time - evolution equations of orbital elements presented in paper i. based on them ,... | the time - evolution equations for the semi - major axis and the eccentricity derived from perturbative methods are in general phase - dependent . the osculating semi - major axis and eccentricity change over the orbital timescale and they are not easy to implement in binary evolution codes like mesa . however , the se... | finite eccentricities in mass - transferring eccentric binary systems can be explained by taking into account mass - loss and mass - transfer processes that often occur in these systems . these processes can be treated as perturbations to the general two - body problem . the time - evolution equations for the semi - ma... |
1011.3122 | c | in this paper , we have presented in the form of eqs . ( [ s : ell ] ) and ( [ s : phi ] ) the first results for source terms that contribute to the lepton asymmetry in a finite - density background , but that are absent in the vacuum . in order for these to be relevant , we have seen that @xmath19 should not be much ... | for standard leptogenesis from the decay of singlet right - handed neutrinos , we derive source terms for the lepton asymmetry that are present in a finite density background but absent in the vacuum . we evaluate the source terms numerically and use them to calculate the lepton asymmetry for illustrative points in par... | for standard leptogenesis from the decay of singlet right - handed neutrinos , we derive source terms for the lepton asymmetry that are present in a finite density background but absent in the vacuum . these arise from cuts through the vertex correction to the decay asymmetry , where in the loop either the higgs boson ... |
1703.06143 | i | accretion onto supermassive black holes ( smbhs ) , and the corresponding release of gravitational potential energy , power active galactic nuclei ( agn ) . this process requires that a significant amount of matter in the interstellar medium of a galaxy experience a loss of angular momentum sufficient to ultimately be ... | galaxy mergers are likely to play a role in triggering active galactic nuclei ( agn ) , but the conditions under which this process occurs are poorly understood . in paper i , we constructed a sample of spatially offset x - ray agn that represent galaxy mergers hosting a single agn . in this paper , we use our offset a... | galaxy mergers are likely to play a role in triggering active galactic nuclei ( agn ) , but the conditions under which this process occurs are poorly understood . in paper i , we constructed a sample of spatially offset x - ray agn that represent galaxy mergers hosting a single agn . in this paper , we use our offset a... |
1703.06143 | c | several studies have placed estimates on the fraction of agn hosted by galaxies in mergers or merger - remnants @xcite . however , these studies have not estimated the fractions for the specific scenarios of offset agn or dual agn because the methods by which those studies selected galaxy mergers and cross - matched wi... | we also find that the offset and dual agn fractions both have a negative dependence on nuclear separation and are similar in value at small physical scales . these results indicate that the probability of agn triggering increases at later merger stages . this study is the first to systematically probe down to nuclear s... | galaxy mergers are likely to play a role in triggering active galactic nuclei ( agn ) , but the conditions under which this process occurs are poorly understood . in paper i , we constructed a sample of spatially offset x - ray agn that represent galaxy mergers hosting a single agn . in this paper , we use our offset a... |
1703.06143 | c | we have used our systematically constructed sample of spatially offset agn from paper i to constrain the parameters under which agn triggering is driven by galaxy mergers . due to the selection of galaxy mergers based on offset x - ray agn , our sample is not biased toward morphological disturbances or large projected... | we find that the offset agn fraction shows no evidence for a dependence on agn luminosity , while the dual agn fractions show stronger evidence for a positive dependence , suggesting that the merger events forming dual agn are more efficient at instigating accretion onto supermassive black holes than those forming offs... | galaxy mergers are likely to play a role in triggering active galactic nuclei ( agn ) , but the conditions under which this process occurs are poorly understood . in paper i , we constructed a sample of spatially offset x - ray agn that represent galaxy mergers hosting a single agn . in this paper , we use our offset a... |
1001.5323 | i | it is a well - known result that a 1-dimensional irreducible shift of finite type on a finite alphabet has a unique measure of maximal entropy , the measure developed by shannon and parry @xcite . in contrast , we consider the relative case in which one is given a factor code @xmath5 from a shift of finite type @xmath1... | given a factor code from a one - dimensional shift of finite type onto an irreducible sofic shift , if is finite - to - one there is an invariant called the degree of which is defined the number of preimages of a typical point in . we show that this bound and the class degree of the code agree when is ergodic and fully... | given a factor code from a one - dimensional shift of finite type onto an irreducible sofic shift , if is finite - to - one there is an invariant called the degree of which is defined the number of preimages of a typical point in . we generalize the notion of the degree to the class degree which is defined for any fact... |
1202.1116 | i | the _ kepler _ satellite was launched in march 2009 with the primary goal to search for transiting exoplanets in the solar neighbourhood . it delivers single band - pass light curves of micromagnitude precision and has found hundreds of planet candidates @xcite . the long , uninterrupted , and high - precision time ser... | ground - based spectroscopic follow - up observations of the pulsating stars observed by the satellite mission are needed for their asteroseismic modelling . we aim to derive the fundamental parameters for a sample of 26 doradus candidate stars observed by the satellite mission to accomplish one of the required precond... | ground - based spectroscopic follow - up observations of the pulsating stars observed by the satellite mission are needed for their asteroseismic modelling . we aim to derive the fundamental parameters for a sample of 26 doradus candidate stars observed by the satellite mission to accomplish one of the required precond... |
1202.1116 | c | we determined the fundamental parameters of 26 stars in the _ kepler _ satellite field of view proposed to be candidates for @xmath1 dor - type variables @xcite . the analysis was done by means of the spectrum synthesis method based on the comparison between the observed and synthetic spectra . as an additional test o... | we find that most of the derived values agree with the values given in the kepler input catalogue . according to their positions in the hr - diagram three stars are expected dor stars , ten stars are expected sct stars , and seven stars are possibly sctstars at the hot border of the instability strip . six of the... | ground - based spectroscopic follow - up observations of the pulsating stars observed by the satellite mission are needed for their asteroseismic modelling . we aim to derive the fundamental parameters for a sample of 26 doradus candidate stars observed by the satellite mission to accomplish one of the required precond... |
hep-ex0204005 | i | aging effects in proportional wire chambers , a permanent degradation of operating characteristics under sustained irradiation , has been and still remains the main limitation to their use in high - rate experiments @xcite . although the basic phenomenology of the aging process has been described in an impressive vari... | new classes of gaseous detectors such as large - scale straw - type detectors , micro - pattern gas detectors and related detector types with their own specific aging effects have evolved since the first workshop on wire chamber aging was held at lbl , berkeley in 1986 . in light of these developments and as detector a... | high energy physics experiments are currently entering a new era which requires the operation of gaseous particle detectors at unprecedented high rates and integrated particle fluxes . full functionality of such detectors over the lifetime of an experiment in a harsh radiation environment is of prime concern to the inv... |
1010.1508 | i | statistical information theory @xcite constitutes an essential tool for modern signal processing , computation , coding , and communication systems . its core philosophy hinges on the notions of information potential and the ability of systems to encode , transmit and decode information about one or more input paramete... | i first derive a second - order result between mi and fisher information ( fi ) that is valid for sufficiently narrow priors , but arbitrary channels . a second relation furnishes a lower bound on the mi in terms of the minimum mean - squared error ( mmse ) on the bayesian estimation of the input parameter from the cha... | i present several new relations between mutual information ( mi ) and statistical estimation error for a system that can be regarded simultaneously as a communication channel and as an estimator of an input parameter . i first derive a second - order result between mi and fisher information ( fi ) that is valid for suf... |
hep-ph0701070 | i | neutrino physics , in particular its experimental part , has been extremely successful in the last 10 years . it would be worthwhile to look it back on this occasion as a prologue to our discussion on the future . in 1998 the super - kamiokande atmospheric neutrino observation confirmed @xcite the smoking gun evidence ... | i try to give an overview of future prospects of the experimental exploration of the unknowns in the neutrino mass pattern and the lepton flavor mixing . because of the nature of the lectures on which this manuscript is based , i give some pedagogical discussions to prepare for the presentation in the later part . i do... | i try to give an overview of future prospects of the experimental exploration of the unknowns in the neutrino mass pattern and the lepton flavor mixing . because of the nature of the lectures on which this manuscript is based , i give some pedagogical discussions to prepare for the presentation in the later part . i st... |
hep-ph0601258 | i | the atmospheric neutrino observation by super - kamiokande ( sk ) , which discovered neutrino oscillation , established that the mixing angle @xmath0 is large , which may be even close to the maximum @xcite . then , it became clear that the solar mixing angle @xmath9 is also large , though not maximal , as indicated by... | we discuss an experimental strategy for resolving the octant degeneracy by combining reactor measurement of with accelerator disappearance and appearance experiments . our method offers a way to overcome the difficulty and can resolve the degeneracy between solutions and if at 95% cl by assuming the t2k phase ii experi... | if the lepton mixing angle is not maximal , there arises a problem of ambiguity in determining due to the existence of two degenerate solutions , one in the first and the other in the second octant . we discuss an experimental strategy for resolving the octant degeneracy by combining reactor measurement of with acceler... |
cond-mat0304029 | i | with the advent of improved resolution , both in energy and momentum , several angular resolved photo emission spectroscopy ( arpes ) groups have measured the renormalized quasiparticle energies and/or lifetimes in the cuprates . the data shows that a definite energy scale exists for the renormalization . this energy s... | improved resolution in both , energy and momentum in arpes - data has lead to the establishment of a definite energy scale in the dressed quasiparticle dispersion relations . the observed structure aroundmev has been taken as evidence for coupling to phonons and has re - focused the debate about the mechanism of superc... | improved resolution in both , energy and momentum in arpes - data has lead to the establishment of a definite energy scale in the dressed quasiparticle dispersion relations . the observed structure aroundmev has been taken as evidence for coupling to phonons and has re - focused the debate about the mechanism of superc... |
1507.05660 | i | throughout this paper all @xmath0manifolds are compact , connected and orientable . suppose @xmath1 is a 3manifold . in 1976 thurston @xcite introduced a seminorm @xmath7 on @xmath8 , henceforth referred to as the _ thurston norm _ , which is a natural measure of the complexity of surfaces dual to integral classes . a ... | in 1976 thurston associated to amanifold a marked polytope in which measures the minimal complexity of surfaces representing homology classes and determines all fibered classes in . recently the first and the last author associated to a presentation with two generators and one relator a marked polytope in and showed th... | in 1976 thurston associated to amanifold a marked polytope in which measures the minimal complexity of surfaces representing homology classes and determines all fibered classes in . recently the first and the last author associated to a presentation with two generators and one relator a marked polytope in and showed th... |
1306.2208 | i | in @xcite a @xmath0-weighted version of the robinson - schensted algorithm was introduced . in this paper we show that this algorithm enjoys a symmetry property analoguous to the well - known symmetry property of the robinson - schensted algorithm . the proof uses a generalisation of the growth diagram approach introdu... | in a-weighted version of the robinson - schensted algorithm was introduced . in this paper we show that this algorithm has a symmetry property analogous to the well known symmetry property of the normal robinson - schensted algorithm . the proof uses a generalisation of the growth diagram approach introduced by fomin .... | in a-weighted version of the robinson - schensted algorithm was introduced . in this paper we show that this algorithm has a symmetry property analogous to the well known symmetry property of the normal robinson - schensted algorithm . the proof uses a generalisation of the growth diagram approach introduced by fomin .... |
1103.3299 | c | we studied tsallis statistics as a way to characterize mhd ism turbulence . while we do not address the theoretical justification of the particular form of the fits predicted by the equation ( 1 ) , our study shows that this fit provides a very good correspondence with experimentally obtained distributions . we showed ... | in an effort to characterize the mach numbers of ism magnetohydrodynamic ( mhd ) turbulence , we study the probability distribution functions ( pdfs ) of spatial increments of density , velocity , and magnetic field for fourteen ideal isothermal mhd simulations at resolution . in particular , we fit the pdfs using the ... | in an effort to characterize the mach numbers of ism magnetohydrodynamic ( mhd ) turbulence , we study the probability distribution functions ( pdfs ) of spatial increments of density , velocity , and magnetic field for fourteen ideal isothermal mhd simulations at resolution . in particular , we fit the pdfs using the ... |
hep-th0601090 | i | to some extent , our understanding of area laws in confining gauge theories is based on intuition and plausibility . certainly , there can be no doubt that , in the fundamental representation of @xmath6 , the expectation value @xmath7 of the trace of a simple flat wilson loop @xmath8 involves the area @xmath9 of the fl... | in center vortex theory , beyond the simplest picture of confinement several conceptual problems arise that are the subject of this paper . recall that confinement arises through configuration averaging of phase factors associated with the gauge center group , raised to powers depending on the total gauss link number o... | in center vortex theory , beyond the simplest picture of confinement several conceptual problems arise that are the subject of this paper . recall that confinement arises through configuration averaging of phase factors associated with the gauge center group , raised to powers depending on the total gauss link number o... |
hep-th0601090 | i | we have discussed semi - quantitatively some of the effects of inert vortices that do not couple as effectively as they might to a wilson loop , and that change the probability of linkage by a dilution factor @xmath204 . in turn , this changes the @xmath4 dga string tension from @xmath16 to @xmath205 , where @xmath2 is... | we estimate the dilution factor , due to these inert or partially - inert vortices , that reduces the ratio of fundamental string tension to the areal density of vortices from the ratio given by elementary approaches and find . third , we discuss semi - quantitatively a configuration of two distinct wilson loops separa... | in center vortex theory , beyond the simplest picture of confinement several conceptual problems arise that are the subject of this paper . recall that confinement arises through configuration averaging of phase factors associated with the gauge center group , raised to powers depending on the total gauss link number o... |
1109.5013 | i | a central problem in quantum information theory is that of interconversion between resources , for example , how to use communication channels to produce entanglement between distant parties , or how to use such entanglement to carry out nonlocal operations . in particular , the use of prior entanglement assisted by cl... | in certain cases the communication time required to deterministically implement a nonlocal bipartite unitary using prior entanglement and locc ( local operations and classical communication ) can be reduced by a factor of two . we introduce two such `` fast '' protocols and illustrate them with various examples . for s... | in certain cases the communication time required to deterministically implement a nonlocal bipartite unitary using prior entanglement and locc ( local operations and classical communication ) can be reduced by a factor of two . we introduce two such `` fast '' protocols and illustrate them with various examples . for s... |
1211.6727 | i | dealing with high - dimensional non - linear data is one of the key challenges in modern data analysis . in recent years a class of methods based on the mathematical notion of a manifold has become popular in machine learning , starting with the papers @xcite . the underlying intuition is that a process with a small n... | in manifold learning , algorithms based on graph laplacian constructed from data have received considerable attention both in practical applications and theoretical analysis . boundaries occur whenever the process generating data has a bounding constraint ; while singularities appear when two different manifolds inters... | in manifold learning , algorithms based on graph laplacian constructed from data have received considerable attention both in practical applications and theoretical analysis . much of the existing work has been done under the assumption that the data is sampled from a manifold without boundaries and singularities or th... |
1211.6727 | c | eigenfunctions of graph laplacians obtained from data play an important role in a variety of applications from spectral clustering to dimensionality reduction and semi - supervised learning . while full proof of their convergence is likely to be very subtle and is beyond the scope of this paper ( see @xcite for the pr... | much of the existing work has been done under the assumption that the data is sampled from a manifold without boundaries and singularities or that the functions of interest are evaluated away from such points . at the same time , it can be argued that singularities and boundaries are an important aspect of the geome... | in manifold learning , algorithms based on graph laplacian constructed from data have received considerable attention both in practical applications and theoretical analysis . much of the existing work has been done under the assumption that the data is sampled from a manifold without boundaries and singularities or th... |
1211.6727 | r | below we provide some numerical results validating theoretical analysis , some experiments with real datasets and several numerical experiments in support of our conjectures on the eigenfunction behavior . in this section , we illustrate the behavior of graph laplacian on or near the singularity points through a s... | in this paper we consider the behavior of graph laplacians at points at or near boundaries and two main types of other singularities : _ intersections _ , where different manifolds come together and sharp _ we show that the behavior of graph laplacian near these singularities is quite different from that in the interio... | in manifold learning , algorithms based on graph laplacian constructed from data have received considerable attention both in practical applications and theoretical analysis . much of the existing work has been done under the assumption that the data is sampled from a manifold without boundaries and singularities or th... |
0901.1962 | i | the standard model ( sm ) can in principle fulfill all three sakharov conditions @xcite for generating a baryon asymmetry in the universe @xcite . the model fails , however , for two reasons , to explain the value of the asymmetry required for the primordial nucleosynthesis @xcite , or the value measured through the co... | in models of dynamical electroweak symmetry breaking due to strongly coupled fourth - family quarks and leptons , their low - energy effective descriptions may involve multiple composite higgs fields , leading to a possibility that the electroweak phase transition at finite temperature is first order due to the coleman... | in models of dynamical electroweak symmetry breaking due to strongly coupled fourth - family quarks and leptons , their low - energy effective descriptions may involve multiple composite higgs fields , leading to a possibility that the electroweak phase transition at finite temperature is first order due to the coleman... |
0901.1962 | c | in this paper , we have studied the finite - temperature electroweak phase transition in the model where the electroweak symmetry is dynamically broken due to the four - fermion interaction of the fourth - family quarks . based on the effective renormalizable yukawa theory with / without compositeness condition , we ha... | the strength of the first - order phase transition is estimated by using the finite - temperature effective potential at one - loop with the ring - improvement . in the yukawa theory without the compositeness condition , it is found that there is a parameter region where the first - order phase transition is strong eno... | in models of dynamical electroweak symmetry breaking due to strongly coupled fourth - family quarks and leptons , their low - energy effective descriptions may involve multiple composite higgs fields , leading to a possibility that the electroweak phase transition at finite temperature is first order due to the coleman... |
1308.2660 | r | in order to evaluate the in - medium condensate @xmath110 with eq . ( [ ward ] ) , we calculate the current - current correlation functions in the soft limit , @xmath111 and @xmath112 defined in eqs . and , by using the in - medium chiral perturbation theory . from eq . ( [ green ] ) , @xmath112 is expressed by the g... | , we assume that all the in - vacuum quantities for the pion , the nucleon and the interaction are determined in vacuum and focus on density expansion of the in - medium physical quantities . we perform diagrammatic analysis of the correlation functions which provide the in - medium chiral condensate . we also discuss ... | in order to study partial restoration of the chiral symmetry at finite density , we investigate the density corrections of the chiral condensate up to the next - to - leading order of density expansion using the chiral ward identity and an in - medium chiral perturbation theory . in our study , we assume that all the i... |
1308.2660 | i | we calculate the chiral condensate at finite nuclear density @xmath225 using the chiral ward identity and the in - medium chiral perturbation theory . we study diagrammatic structure of the current - current green s functions @xmath226 and @xmath227 and classify density corrections to the chiral condensate . in our stu... | in order to study partial restoration of the chiral symmetry at finite density , we investigate the density corrections of the chiral condensate up to the next - to - leading order of density expansion using the chiral ward identity and an in - medium chiral perturbation theory . in our study | in order to study partial restoration of the chiral symmetry at finite density , we investigate the density corrections of the chiral condensate up to the next - to - leading order of density expansion using the chiral ward identity and an in - medium chiral perturbation theory . in our study , we assume that all the i... |
hep-ph0407298 | i | we discuss measurements of the nuclear parton distributions via dijet ( jet@xmath0jet ) and @xmath2jet photoproduction in ultraperipheral heavy ion collisions at the large hadron collider ( lhc ) . in these collisions , the accelerated ion is surrounded by a cloud of almost real photons of virtuality @xmath3 where @xma... | in peripheral relativistic heavy ion collisions at the large hadron collider , jetjet and photonjet final states can be produced when a photon from the virtual photon field surrounding the nucleus interacts with a parton in the opposite nucleus ( direct production ) . the virtual photon may also fluctuate into states w... | in peripheral relativistic heavy ion collisions at the large hadron collider , jetjet and photonjet final states can be produced when a photon from the virtual photon field surrounding the nucleus interacts with a parton in the opposite nucleus ( direct production ) . the virtual photon may also fluctuate into states w... |
1508.01737 | i | biochemical reactions systems frequently comprise species with low copy numbers of molecules which leads to strong stochastic effects @xcite . under well - mixed and dilute conditions , the chemical master equation ( cme ) is the accepted description of the dynamics of such systems @xcite . for all but the most simple ... | in recent years moment - closure approximations ( ma ) of the chemical master equation have become a popular method for the study of stochastic effects in chemical reaction systems . several different ma methods have been proposed and applied in the literature , but it remains unclear how they perform with respect to e... | in recent years moment - closure approximations ( ma ) of the chemical master equation have become a popular method for the study of stochastic effects in chemical reaction systems . several different ma methods have been proposed and applied in the literature , but it remains unclear how they perform with respect to e... |
1508.01737 | i | in this paper , we compared the second - order normal , poisson , log - normal and cmn - mas for several reaction systems with respect to their qualitative behaviour ( if they give physically meaningful results ) and their quantitative accuracy ( how well they approximate results obtained from exact stochastic simulati... | our results suggest that the normal ma is favourable over the other studied mas . in particular we found that ( i ) the size of the region of parameter space where a closure gives physically meaningful results , e.g. positive mean and variance , is considerably larger for the normal closure than for the other three clo... | in recent years moment - closure approximations ( ma ) of the chemical master equation have become a popular method for the study of stochastic effects in chemical reaction systems . several different ma methods have been proposed and applied in the literature , but it remains unclear how they perform with respect to e... |
cond-mat0206321 | c | in summary , we have derived a general drift - diffusion equation for spin polarization in both degenerate and nondegenerate systems by consistently taking into account electric - field effects . we have demonstrated that as a system changes from degenerate to nondegenerate , the electric field becomes more and more im... | we recently derived a drift - diffusion equation for spin polarization in the semiconductors by consistently taking into account electric - field effects and nondegenerate electron statistics and identified a high - field diffusive regime which has no analogue in metals . here spin injection from a ferromagnet ( fm ) i... | in semiconductor spintronic devices , the semiconductor is usually lightly doped and nondegenerate , and moderate electric fields can dominate the carrier motion . we recently derived a drift - diffusion equation for spin polarization in the semiconductors by consistently taking into account electric - field effects an... |
1303.1689 | i | a rich variety of magnetohydrodynamic ( mhd ) waves and oscillations have been detected in the structured solar atmosphere ( e.g. , the reviews by * ? ? ? * ; * ? ? ? * ; * ? ? ? * ; * ? ? ? * ; * ? ? ? * ) . while identifying waves / oscillations was possible with radio and optical instruments prior to the 1990s ( * ... | in the applications of solar magneto - seismology(sms ) , employing the ratio of the period of the fundamental mode to twice the one of its first overtone , , plays an important role . we examine how field - aligned flows affect the dispersion properties , and hence the period ratios , of standing modes supported by ma... | in the applications of solar magneto - seismology(sms ) , employing the ratio of the period of the fundamental mode to twice the one of its first overtone , , plays an important role . we examine how field - aligned flows affect the dispersion properties , and hence the period ratios , of standing modes supported by ma... |
1303.1689 | i | the present study has been motivated by two strands of research in the field of solar magneto - seismology . on the one hand , exploiting the measured multiple periods is playing an increasingly important role in deducing the longitudinal structuring of solar atmospheric structures @xcite on the other hand , it was re... | we numerically solve the dispersion relations and devise a graphic means to construct standing modes . for coronal slabs , we find that the flow effects are significant , for the fast kink and sausage modes alike . for the kink ones , they may reduce by up to 23% compared with the static case , and the minimum allowed ... | in the applications of solar magneto - seismology(sms ) , employing the ratio of the period of the fundamental mode to twice the one of its first overtone , , plays an important role . we examine how field - aligned flows affect the dispersion properties , and hence the period ratios , of standing modes supported by ma... |
1010.1133 | i | the classical isodiametric inequality in the euclidean space says that balls maximize the volume among all sets with a given diameter . this was originally proved by bieberbach @xcite in @xmath1 and by urysohn @xcite in @xmath2 , see also @xcite . in this paper we are interested in the case of the heisenberg group @... | in the sub - riemannian heisenberg group equipped with its car- not - carathodory metric and with a haar measure , we consider _ isodiametric sets _ , i.e. sets maximizing the measure among all sets with a given diameter . in particular , given an isodiametric set , and up to negligible sets , we prove that its boundar... | in the sub - riemannian heisenberg group equipped with its car- not - carathodory metric and with a haar measure , we consider _ isodiametric sets _ , i.e. sets maximizing the measure among all sets with a given diameter . in particular , given an isodiametric set , and up to negligible sets , we prove that its boundar... |
hep-ph0610436 | i | the quest for the high - energy behaviour of perturbative qcd started thirty years ago , soon after qcd was proposed as the fundamental theory of strong interactions . to grasp this problem , it has been realised that saturation effects were to be considered in order to satisfy unitarity constraints . throughout these ... | in these proceedings , i shall review the basic concepts of perturbative qcd in its high - energy limit . i shall concentrate on the approach to the unitarity limit , usually referred to as _ saturation _ , as well as on the gluon - number fluctuations the importance of which has recently been discovered . i shall expl... | in these proceedings , i shall review the basic concepts of perturbative qcd in its high - energy limit . i shall concentrate on the approach to the unitarity limit , usually referred to as _ saturation _ , as well as on the gluon - number fluctuations the importance of which has recently been discovered . i shall expl... |
1410.1612 | i | a proper choice of order parameters is the most important perspective for building a sound model for liquid crystals . the order parameters should be simple and explanatory in terms of mathematics and physics , while efficient in computations . from the viewpoint of theoretical analysis , it is desirable to adopt order... | [ _ arch . rational mech . anal . _ , 215.3 ( 2014 ) , pp . 741 - 809 ] for static liquid crystal modeling . we report the results of two numerical applications of the model , namely the isotropic nematic smectic - a smectic - c phase transitions and the isotropic nematic interface problem , in which density variat... | in this article , we study the new q - tensor model previously derived from onsager s molecular theory by han _ et al . _ [ _ arch . rational mech . anal . _ , 215.3 ( 2014 ) , pp . 741 - 809 ] for static liquid crystal modeling . taking density and q - tensor as order parameters , the new q - tensor model not only cha... |
math0305307 | r | in this article we have presented a non - linear dynamic programming algorithm designed for the calculation of positive definite forward rate curves using data with or without spreads . we have included multiple details of the algorithm aiming at practitioners not familiar with the techniques of dynamic programming . w... | in this article we present a non - linear dynamic programming algorithm for the computation of forward rates within the maximum smoothness framework . the algorithm implements the forward rate positivity constraint for a one - parametric family of smoothness measures and it handles price spreads in the constraining dat... | in this article we present a non - linear dynamic programming algorithm for the computation of forward rates within the maximum smoothness framework . the algorithm implements the forward rate positivity constraint for a one - parametric family of smoothness measures and it handles price spreads in the constraining dat... |
1405.3980 | i | shannon s rate distortion theory finds the optimal compression rate for a given distortion for an i.i.d . discrete signal . for continuous signals , shannon assumes that the signal is sampled at the nyquist rate . thus , in shannon s protocol , distortion occurs at the quantization phase ; no information about the sig... | , we justify and use both the average and variance of distortion as the performance criteria . to compute the optimal distortion it is shown that nonuniform sampling outperforms uniform sampling . next , for the rates higher than half the landau rate , we find bounds that are shown to be tight for some special cases . ... | in this paper , the optimal sampling strategies ( uniform or nonuniform ) and distortion tradeoffs for stationary gaussian bandlimited periodic signals with additive white gaussian noise are studied . unlike the previous works that commonly consider the average distortion as the performance criterion , we justify and u... |
1405.3980 | r | in this section , we first state two general lower bounds on the average and variance of distortion and then , using these lower bounds , we provide the main results of the paper . note that @xmath93 and @xmath94 is proportional to the bandwidth of the signal . remember that @xmath8 is the number of noisy samples . the... | in this paper , the optimal sampling strategies ( uniform or nonuniform ) and distortion tradeoffs for stationary gaussian bandlimited periodic signals with additive white gaussian noise are studied . unlike the previous works that commonly consider the average distortion as the performance criterion , one needs to fin... | in this paper , the optimal sampling strategies ( uniform or nonuniform ) and distortion tradeoffs for stationary gaussian bandlimited periodic signals with additive white gaussian noise are studied . unlike the previous works that commonly consider the average distortion as the performance criterion , we justify and u... |
1408.5370 | i | in this paper , we consider the following eigenvalue problem @xmath3 in a bounded domain @xmath4 in @xmath5 with suitable boundary conditions , where @xmath6 and @xmath7 denotes the lebesgue measure of @xmath4 in @xmath5 . let @xmath8 , then ( [ k ] ) immediately implies @xmath9 under these settings , we consider th... | in this paper , we study optimization of the first eigenvalue of in a bounded domain under several constraints for the function . we consider this problem in various boundary conditions and various topologies of domains . as a result , we numerically observe several common criteria for for optimizing eigenvalues in ter... | in this paper , we study optimization of the first eigenvalue of in a bounded domain under several constraints for the function . we consider this problem in various boundary conditions and various topologies of domains . as a result , we numerically observe several common criteria for for optimizing eigenvalues in ter... |
1002.0326 | i | in this paper we are interested in curves @xmath0 in @xmath1 which are half lines with an end point attached at the origin . these lines are assumed to move with normal velocity @xmath2 where @xmath3 is the curvature of the line and @xmath4 is a given constant . we will see that this problem reduces to the study of the... | in this paper , we study the motion of spirals by mean curvature type motion in the ( two dimensional ) plane . our motivation comes from dislocation dynamics ; in this context , spirals appear when a screw dislocation line reaches the surface of a crystal . the first main result of this paper is a comparison principle... | in this paper , we study the motion of spirals by mean curvature type motion in the ( two dimensional ) plane . our motivation comes from dislocation dynamics ; in this context , spirals appear when a screw dislocation line reaches the surface of a crystal . the first main result of this paper is a comparison principle... |
math-ph0703090 | i | in this paper we discuss the construction of symmetric polynomials which arise as eigenfunctions of exactly solvable quantum many - body systems of calogero - sutherland type @xcite . in particular , we demonstrate that a particular construction method found and studied by us in simple special cases @xcite can be natur... | in this paper we consider a large class of many - variable polynomials which contains generalisations of the classical hermite , laguerre , jacobi and bessel polynomials as special cases , and which occur as the polynomial part in the eigenfunctions of calogero - sutherland type operators and their deformations recentl... | in this paper we consider a large class of many - variable polynomials which contains generalisations of the classical hermite , laguerre , jacobi and bessel polynomials as special cases , and which occur as the polynomial part in the eigenfunctions of calogero - sutherland type operators and their deformations recentl... |
1109.3890 | i | in the stabbing - max problem , a set of rectangles is stored in a data structure , and each rectangle @xmath8 is assigned a priority @xmath9 . for a query point @xmath10 , we must find the highest priority rectangle @xmath8 that contains ( or is stabbed by ) @xmath10 . in this paper we describe a dynamic data structur... | in this paper we describe a dynamic data structure that answers one - dimensional stabbing - max queries in optimal time . our data structure uses linear space and supports insertions and deletions in and amortized time respectively . we also describe a space data structure that answers-dimensional stabbing - max qu... | in this paper we describe a dynamic data structure that answers one - dimensional stabbing - max queries in optimal time . our data structure uses linear space and supports insertions and deletions in and amortized time respectively . we also describe a space data structure that answers-dimensional stabbing - max qu... |
0903.0428 | i | consider a dynamical system @xmath0 together with its stochastic perturbations @xmath1 here @xmath2 is a small parameter , @xmath3 is a wiener process in @xmath4 , and the coefficients @xmath5 and @xmath6 are assumed to be lipschitz continuous . the diffusion matrix @xmath7 is assumed to be non - degenerate for all @x... | in this paper we describe the asymptotic behavior , in the exponential time scale , of solutions to quasi - linear parabolic equations with a small parameter at the second order term and the long time behavior of corresponding diffusion processes . in particular , we discuss the exit problem and metastability for the p... | in this paper we describe the asymptotic behavior , in the exponential time scale , of solutions to quasi - linear parabolic equations with a small parameter at the second order term and the long time behavior of corresponding diffusion processes . in particular , we discuss the exit problem and metastability for the p... |
astro-ph9811150 | i | the study of groups of galaxies as dynamical systems is interesting not only _ per se _ , but also because groups can be used to set constraints on cosmological models ( e.g. frenk 1990 ; weinberg & cole 1992 , zabludoff 1993 ; zabludoff & geller 1994 , nolthenius 1994 , 1997 ) and on models of galaxy formation ( frenk... | we show that our result is reliable in spite of the particular geometry of the esp survey ( two rows of tangent circular fields of radius arcmin ) , which causes most systems to be only partially surveyed . in general , we find that the properties of esp groups are consistent with those of groups in shallower ( and wid... | in this paper we identify objectively and analyze groups of galaxies in the recently completed esp survey ( and ; ) . we find 231 groups above the number overdensity threshold = 80 in the redshift range 5000 60000 . these groups contain 1250 members , 40.5 % of the 3085 esp galaxies within the same range . the media... |
astro-ph9811150 | i | in this paper we search objectively and analyze groups of galaxies in the recently completed esp survey ( @xmath0 and @xmath142 ; @xmath2 ) . we identify 231 groups above the number overdensity threshold = 80 in the redshift range 5000 @xmath3 60000 . these groups contain 1250 members , 40.5 % of the 3085 esp galaxies ... | in this paper we identify objectively and analyze groups of galaxies in the recently completed esp survey ( and ; ) . we find 231 groups above the number overdensity threshold = 80 in the redshift range 5000 60000 . the median velocity dispersion ( corrected for measurement errors and computed at the redshift of the gr... | in this paper we identify objectively and analyze groups of galaxies in the recently completed esp survey ( and ; ) . we find 231 groups above the number overdensity threshold = 80 in the redshift range 5000 60000 . these groups contain 1250 members , 40.5 % of the 3085 esp galaxies within the same range . the media... |
1111.7150 | i | a _ polynomial - like map _ of degree @xmath2 is a triple ( @xmath3 ) where @xmath4 and @xmath5 are open subsets of @xmath6 isomorphic to discs , @xmath4 is compactly contained in @xmath5 , and @xmath7 is a proper degree @xmath2 holomorphic map ( see @xcite ) . a degree @xmath2 polynomial - like map is determined up to... | in this paper we introduce the notion of _ parabolic - like mapping_. such an object is similar to a polynomial - like mapping , but it has a parabolic external class , _ i.e. _ an external map with a parabolic fixed point . we prove a straightening theorem for parabolic - like mappings which states that any parabolic ... | in this paper we introduce the notion of _ parabolic - like mapping_. such an object is similar to a polynomial - like mapping , but it has a parabolic external class , _ i.e. _ an external map with a parabolic fixed point . we define the notion of parabolic - like mapping and we study the dynamical properties of parab... |
1008.2923 | i | in 1762 joseph louis lagrange formulated what is now known as the eigenvalue - eigenvector problem , which turns out to be of significant importance in the understanding several phenomena in applied mathematics as well as in optimization theory . the spectral theory for matrices is widely used in many scientific and en... | our proposed factorization decomposes a tensor into a product of orthogonal and scaling tensors . at the same time , our factorization yields an expansion of a tensor as a summation of outer products of lower order tensors . our proposed factorization shows the relationship between the eigen - objects and the generalis... | in this paper we propose a general spectral theory for tensors . our proposed factorization decomposes a tensor into a product of orthogonal and scaling tensors . at the same time , our factorization yields an expansion of a tensor as a summation of outer products of lower order tensors . our proposed factorization sho... |
1610.09905 | i | one of the main questions that arise when comparing predictions of quantum theory with experiment is to what extent the real physical properties of micro - objects correspond to the observed values , measured with macro - devices . heisenberg noted in his book @xcite that this essential question of quantum theory is cl... | in this paper we propose a time - independent _ equality _ and time - dependent _ inequality _ , suitable for an experimental test of the hypothesis of realism . the obtained inequality differs from bell s , wigner s , and leggett - garg inequalities , because it deals with spin projections onto only two non - parallel... | in this paper we propose a time - independent _ equality _ and time - dependent _ inequality _ , suitable for an experimental test of the hypothesis of realism . the derivation of these relations is based on the concept of conditional probability and on bayes theorem in the framework of kolmogorov s axiomatics of proba... |
math9803108 | i | using combinatorial dualities for reflexive polyhedra and gorenstein cones together with the theory of generalized gkz - hypergeometric functions , one can extend the calculation of the number @xmath2 of rational curves of degree @xmath3 on the generic quintic threefold in @xmath4 by candelas , de la ossa , green , and... | in this paper we propose and discuss a mirror construction for complete intersections in partial flag manifolds . this construction includes our previous mirror construction for complete intersection in grassmannians and the mirror construction of givental for complete flag manifolds . the key idea of our construction ... | in this paper we propose and discuss a mirror construction for complete intersections in partial flag manifolds . this construction includes our previous mirror construction for complete intersection in grassmannians and the mirror construction of givental for complete flag manifolds . the key idea of our construction ... |
0910.4834 | i | balancing flows over different routes , commonly referred to as _ multipath routing _ , bears important advantages . first , it makes the network more robust , because in case of a link failure , the flow can still use bandwidth on its other routes . also , under multipath routing the resources of the network are used ... | in this paper we study coordinated multipath routing at the flow - level in networks with routes of length one . as a first step the static case is considered , in which the number of flows is fixed . lacking explicit expressions for the equilibrium distribution of the markov process under consideration , we study its ... | in this paper we study coordinated multipath routing at the flow - level in networks with routes of length one . as a first step the static case is considered , in which the number of flows is fixed . a clustering pattern in the rate allocation is identified , and we describe a finite algorithm to find this rate alloca... |
0910.4834 | r | in this section we study the diffusion limit of our processes around the equilibrium point @xmath201 of the fluid limit that we identified in the previous section . we do so for a special type of network , namely the _ symmetric circle network _ which we introduce in detail below ; the setting we consider is that of in... | a clustering pattern in the rate allocation is identified , and we describe a finite algorithm to find this rate allocation and the clustering explicitly . then we consider the dynamic model , in which there are stochastic arrivals and departures ; we do so for models with both streaming and elastic traffic , and where... | in this paper we study coordinated multipath routing at the flow - level in networks with routes of length one . as a first step the static case is considered , in which the number of flows is fixed . a clustering pattern in the rate allocation is identified , and we describe a finite algorithm to find this rate alloca... |
1510.07394 | i | in today s networks , relay - based transmission is adopted to bridge large distances between a source and a destination . in this work , we investigate the two - hop relay channel comprised of a source , a relay , and a destination , where a direct link between the source and the destination does not exist . there are... | the source transmits data to a relay , which forwards the data to the destination , and a direct link between the source and the destination is not present . since the relay is assumed to be fd , the relay is transmitting and receiving at the same time and in the same frequency band . we consider a practical fd relay ,... | in this work , the capacity of the gaussian full - duplex ( fd ) two - hop relay channel with self - interference ( si ) is studied . in the two - hop relay channel , the source transmits data to a relay , which forwards the data to the destination , and a direct link between the source and the destination is not prese... |
1608.01100 | i | over the last decades , quantum photonics has become a thriving field of research , promoting both fundamental investigation of quantum phenomena and a broad variety of disruptive quantum technologies @xcite . from the fundamental side , entanglement has been exploited , among others , for more and more convincing non... | mature technological processes for waveguide structure integration , as well as inherent and efficient properties for nonlinear optical effects , lithium niobate devices are nowadays at the heart of many photon - pair or triplet sources , single - photon detectors , coherent wavelength - conversion interfaces , and qua... | integrated optical components on lithium niobate play a major role in standard high - speed communication systems . over the last two decades , after the birth and positioning of quantum information science , lithium niobate waveguide architectures have emerged as one of the key platforms for enabling photonics quantum... |
1608.01100 | c | the impact of integrated optical devices in modern quantum optics has already been considerable . as have been outlined all along this manuscript , pertinent , and otherwise infeasible with bulk optics approaches , realizations have been reported over the last two decades , with outstanding advances in quantum sources ... | integrated optical components on lithium niobate play a major role in standard high - speed communication systems . over the last two decades , after the birth and positioning of quantum information science , lithium niobate waveguide architectures have emerged as one of the key platforms for enabling photonics quantum... | integrated optical components on lithium niobate play a major role in standard high - speed communication systems . over the last two decades , after the birth and positioning of quantum information science , lithium niobate waveguide architectures have emerged as one of the key platforms for enabling photonics quantum... |
1409.3224 | i | equatorial accretion disc winds have recently been demonstrated to be an ubiquitous feature of accreting black holes ( ponti et al . 2012 ) . such winds have almost always been observed during the soft state and typically disappear during the canonical hard state ( neilsen & lee 2009 ; ponti et al . 2012 ; miller et al... | is a high - inclination ( eclipsing ) neutron star low mass x - ray binary ( lmxb ) located less than arcmin from sgr a . ongoing monitoring campaigns have targeted sgr a frequently and these observations also cover . we present here an x - ray analysis of using a large dataset of 38 observations , including eleve... | is a high - inclination ( eclipsing ) neutron star low mass x - ray binary ( lmxb ) located less than arcmin from sgr a . ongoing monitoring campaigns have targeted sgr a frequently and these observations also cover . we present here an x - ray analysis of using a large dataset of 38 observations , including eleve... |
1409.3224 | c | the and monitoring observations of the central @xmath141 arcmin of the milky way have detected several outbursts from the accreting neutron star system , allowing us to measure the spectral evolution during both the soft and hard states . nine observations caught in the soft state and three in the hard state . our ... | fe k absorption is clearly seen when is in the soft state , but disappears during the hard state . these results reveal strong similarities between and the eclipsing neutron star lmxb , exo 0748 - 676 , as well as with high - inclination black hole binaries , where winds ( traced by the same fe k absorption featur... | is a high - inclination ( eclipsing ) neutron star low mass x - ray binary ( lmxb ) located less than arcmin from sgr a . ongoing monitoring campaigns have targeted sgr a frequently and these observations also cover . we present here an x - ray analysis of using a large dataset of 38 observations , including eleve... |
1402.5675 | i | the formation process of the intermediate - mass black holes ( bhs ) through direct collapse has been investigated by numerical and theoretical studies @xcite . such bhs , due to their much larger mass than the bhs form after the death of pop iii stars ( typically several tens @xmath3 , see @xcite ) , are good candidat... | it has been proposed that the first , intermediate - mass ( ) black holes might form through direct collapse of unpolluted gas in atomic - cooling halos exposed to a strong lyman - werner ( lw ) or near - infrared ( nir ) radiation . as these systems are expected to be compton - thick , photons above 13.6 ev once the f... | it has been proposed that the first , intermediate - mass ( ) black holes might form through direct collapse of unpolluted gas in atomic - cooling halos exposed to a strong lyman - werner ( lw ) or near - infrared ( nir ) radiation . as these systems are expected to be compton - thick , photons above 13.6 ev are largel... |
1402.5675 | c | we have studied the formation and evolution of dcbhs at high ( @xmath70 13 ) redshifts . the most striking result is that we found that a well - defined dcbh formation era might occur in the early universe extending approximately for 150 myr from @xmath250 to @xmath9 . the intermediate masses ( @xmath269 ) of dcbhs mak... | are largely absorbed and re - processed into lower energy bands . it follows that direct collapse black holes ( dcbhs ) are very bright in the lw / nir bands , typically outshining small high - redshift galaxies by more than 10 times . we show that in this scenario the dcbh mass density rises from mpc at to the peak v... | it has been proposed that the first , intermediate - mass ( ) black holes might form through direct collapse of unpolluted gas in atomic - cooling halos exposed to a strong lyman - werner ( lw ) or near - infrared ( nir ) radiation . as these systems are expected to be compton - thick , photons above 13.6 ev are largel... |
0705.3334 | c | we have investigated whether a massive abelian vector field whose kinetic term is evolving during inflation can be responsible for the curvature perturbation in the universe , without the need of a negative mass - squared . in particular , we have studied particle production of this vector field when its kinetic ter... | it is investigated whether a massive abelian vector field , whose gauge kinetic function is growing during inflation , can be responsible for the generation of the curvature perturbation in the universe . after inflation the vector field begins coherent oscillations , during which it corresponds to pressureless isotrop... | it is investigated whether a massive abelian vector field , whose gauge kinetic function is growing during inflation , can be responsible for the generation of the curvature perturbation in the universe . particle production is studied and it is shown that the vector field can obtain a scale invariant superhorizon spec... |
hep-th0506189 | i | by a full coincidence of the forms of coulomb s and newton s laws , which describe an interaction of electric charges and a gravitational interaction of bodies , we see a dramatic difference in developing the pictures of these interactions on a quantum level . constructed with pillars on multiple experiments qed is one... | it is shown by the author that if gravitons are super - strong interacting particles and the low - temperature graviton background exists , the basic cosmological conjecture about the dopplerian nature of redshifts may be false . in this case , a full magnitude of cosmological redshift would be caused by interactions o... | it is shown by the author that if gravitons are super - strong interacting particles and the low - temperature graviton background exists , the basic cosmological conjecture about the dopplerian nature of redshifts may be false . in this case , a full magnitude of cosmological redshift would be caused by interactions o... |
hep-th0506189 | i | let us introduce the hypothesis , which is considered in this approach as independent from the standard cosmological model : there exists the isotropic graviton background . photon scattering is possible on gravitons @xmath8 where @xmath9 is a photon and @xmath10 is a graviton , if one of the gravitons is virtual . the... | is introduced and estimated . non - forehead collisions with gravitons will lead to a very specific additional relaxation of any photonic flux . some features of a new paradigm are discussed here , too . , every massive body would be decelerated due to collisions with gravitons that may be connected with the pioneer... | it is shown by the author that if gravitons are super - strong interacting particles and the low - temperature graviton background exists , the basic cosmological conjecture about the dopplerian nature of redshifts may be false . in this case , a full magnitude of cosmological redshift would be caused by interactions o... |
1410.6993 | i | gene activation and deactivation are at the base of the dynamics of transcriptional networks . however , it is only after the pioneering investigations by ko @xcite and by kepler and elston @xcite that their fundamental role in shaping the dynamics of such networks is starting being understood @xcite . in this work , w... | it is well - known that gene activation / deactivation dynamics may be a major source of randomness in genetic networks , also in the case of large concentrations of the transcription factors . in this work , we investigate the effect of realistic extrinsic noises acting on gene deactivation in a common network motif -... | it is well - known that gene activation / deactivation dynamics may be a major source of randomness in genetic networks , also in the case of large concentrations of the transcription factors . in this work , we investigate the effect of realistic extrinsic noises acting on gene deactivation in a common network motif -... |
1410.6993 | c | we performed an exhaustive computational analysis of a minimal transcriptional network ( i.e. , a motif ) , under the effect of realistic stochastic perturbations on the gene deactivation rate and in different experimental settings , i.e. , low / high number of proteins and multiple cellular volumes . results suggest t... | our results suggest that the gene switching velocity is a key parameter to modulate the response of the network . simulations suggest that , if the gene switching is fast and many proteins are present , an irreversible noise - induced first order transition is observed as a function of the noise intensity . if noise in... | it is well - known that gene activation / deactivation dynamics may be a major source of randomness in genetic networks , also in the case of large concentrations of the transcription factors . in this work , we investigate the effect of realistic extrinsic noises acting on gene deactivation in a common network motif -... |
1411.1558 | i | the _ special _ principle of relativity states that the fundamental laws of physics must be form - invariant under lorentz transformations . this can be regarded as to require the description of a system to be form - invariant under a _ global _ transformation group , namely the lorentz group . the generalization to no... | it is widely accepted that the fundamental geometrical law of nature should follow from an _ thus , in order to be physical , the transition to another , possibly noninertial frame of reference must necessarily constitute an extended canonical transformation that defines the general mapping of the _ connection coeffici... | it is widely accepted that the fundamental geometrical law of nature should follow from an _ action principle_. the particular subset of transformations of a system s dynamical variables that maintain the _ form _ of the action principle comprises the group of _ canonical transformations_. in the context of canonical f... |
1406.6590 | i | the following problem was formulated by blint tth some 20 years ago with @xmath9 being the unit disc of the plane . let @xmath0 and @xmath1 be convex bodies in @xmath2 , such that @xmath0 contains the origin , and define the process @xmath3 , @xmath4 , as follows : let @xmath5 be a uniform random point in @xmath6 , and... | let and be convex bodies in , such that contains the origin , and define the process , , as follows : let be a uniform random point in , and set . clearly , is a nested sequence of convex bodies which converge to a non - empty limit object , again a convex body in . we study this process for being a regular simplex , ... | let and be convex bodies in , such that contains the origin , and define the process , , as follows : let be a uniform random point in , and set . clearly , is a nested sequence of convex bodies which converge to a non - empty limit object , again a convex body in . we study this process for being a regular simplex , ... |
1703.02654 | i | graphs considered in the paper are finite , without loops or multiple edges . in a graph @xmath13 , @xmath14 and @xmath15 ( @xmath16 and @xmath17 ) denote the vertex set and the edge set of @xmath7 , respectively . for undefined concepts and notation we refer the reader to @xcite . for two vertices @xmath18 and @xma... | let be a connected oriented graph . a set is convex in if , for every pair of vertices , the vertex set of every-geodesic , ( shortest directed path ) and every-geodesic in is contained in . the convexity number , , of a non - trivial oriented graph , , is the maximum cardinality of a proper convex set of . the strong ... | let be a connected oriented graph . a set is convex in if , for every pair of vertices , the vertex set of every-geodesic , ( shortest directed path ) and every-geodesic in is contained in . the convexity number , , of a non - trivial oriented graph , , is the maximum cardinality of a proper convex set of . the strong ... |
1601.02267 | i | throughout this paper all graphs are simple with no loops and multiple edges . let @xmath0 be a graph . we denote the vertex set and the edge set of @xmath0 , by @xmath17 and @xmath18 , respectively ( or simply @xmath19 and @xmath20 when no ambiguity may occur ) . for @xmath21 , @xmath6 denotes the set of all edges inc... | let be a graph whose each component has order at least 3 . let for some integer be an improper edge coloring of ( where adjacent edges may be assigned the same color ) . if the induced vertex coloring defined by ( where the indicated sum is computed in and denotes the set of all edges incident to ) results in a proper ... | let be a graph whose each component has order at least 3 . let for some integer be an improper edge coloring of ( where adjacent edges may be assigned the same color ) . if the induced vertex coloring defined by ( where the indicated sum is computed in and denotes the set of all edges incident to ) results in a proper ... |
math0703474 | i | a heegaard splitting of a compact 3manifold @xmath1 is a decomposition of the manifold into two compression bodies , @xmath7 and @xmath8 . if the manifold is closed , @xmath7 and @xmath8 are handlebodies . the common boundary of @xmath7 and @xmath8 is called a _ heegaard surface _ which we denote by @xmath2 . we will w... | let be a knot in a closed orientable irreducible 3manifold and let be a heegaard splitting of the knot complement of genus at least two . suppose is a bridge surface for and let denote a regular neighborhood of . then either * , or * can be isotoped to be disjoint from so that after the isotopy is a heegaard surface... | let be a knot in a closed orientable irreducible 3manifold and let be a heegaard splitting of the knot complement of genus at least two . suppose is a bridge surface for and let denote a regular neighborhood of . then either * , or * can be isotoped to be disjoint from so that after the isotopy is a heegaard surface... |
1209.1880 | i | the _ mbius function _ is an important concept associated to ( _ locally finite _ ) posets . mbius function can be considered as a generalization of the classical mbius arithmetic function on the integers ( given by the mbius function of the poset obtained from the positive integers partially ordered by the divisibilit... | let be a numerical semigroup and let be the ( locally finite ) poset induced by on the set of integers defined by if and only if for all integers and . in this paper , we investigate the _ mbius function _ associated to when is an _ arithmetic _ semigroup . * keywords : * mbius function , poset , numerical semigroup... | let be a numerical semigroup and let be the ( locally finite ) poset induced by on the set of integers defined by if and only if for all integers and . in this paper , we investigate the _ mbius function _ associated to when is an _ arithmetic _ semigroup . * keywords : * mbius function , poset , numerical semigroup... |
1212.3411 | i | let @xmath2 be an irreducible symmetric @xmath3-space , i.e. @xmath0 is a simple real non - compact lie group and @xmath1 a maximal parabolic subgroup with abelian nilradical . then @xmath9 is at the same time a compact symmetric space @xmath10 where @xmath7 is a maximal compact subgroup of @xmath0 and @xmath11 . write... | then is called a symmetric-space . we study the degenerate principal series representations of on in the case where is not conjugate to its opposite parabolic . we find the points of reducibility , the composition series and all unitarizable constituents . among the unitarizable constituents we identify some small repr... | let be a simple real lie group with maximal parabolic subgroup whose nilradical is abelian . then is called a symmetric-space . we study the degenerate principal series representations of on in the case where is not conjugate to its opposite parabolic . we find the points of reducibility , the composition series and al... |
math0404351 | i | let @xmath0 be a smooth projective curve of genus @xmath1 over the complex number field . let @xmath2 be the moduli space of semistable bundles over @xmath0 of rank @xmath3 with trivial determinant . then @xmath2 is a singular normal projective variety of dimension @xmath4 . its singular locus is the kummer variety @xm... | let be a smooth projective curve of genus and let be the moduli space of semistable bundles over of rank with trivial determinant . three different desingularizations of have been constructed by seshadri , narasimhan - ramanan , and kirwan . in this paper , we construct a birational morphism from kirwan s desingulariza... | let be a smooth projective curve of genus and let be the moduli space of semistable bundles over of rank with trivial determinant . three different desingularizations of have been constructed by seshadri , narasimhan - ramanan , and kirwan . in this paper , we construct a birational morphism from kirwan s desingulariza... |
1110.1527 | r | assume that @xmath25 is a finite von neumann algebra with normal faithful trace state @xmath26 . the pair @xmath27 will be called a _ tracial _ @xmath28-_probability space_. assume that @xmath25 is acting on a hilbert space @xmath29 . we will denote by @xmath30 the set of all operators on @xmath29 which are affili... | let denote free random variables . for two linear forms and with real coefficients and we shall describe all distributions of such that and are free . for identically distributed free random variables with distribution we establish necessary and sufficient conditions on the coefficients such that the statements : + i... | let denote free random variables . for two linear forms and with real coefficients and we shall describe all distributions of such that and are free . for identically distributed free random variables with distribution we establish necessary and sufficient conditions on the coefficients such that the statements : + i... |
astro-ph0008440 | i | the supergiant shell lmc2 has the highest x - ray surface brightness of all lmc supergiant shells . we have obtained _ rosat _ pspc and hri mosaics to study the distribution of x - ray emission from lmc2 . comparison of the x - ray mosaics with h@xmath3 images show that the x - ray emission is detected within the sh... | lmc2 has the highest x - ray surface brightness of all know supergiant shells in the large magellanic cloud ( lmc ) . we have obtained _ rosat _ pspc and _ asca _ we find that our derived electron densities for the hot gas inside lmc2 is higher than the value determined for the supergiant shell lmc4 , comparable to... | lmc2 has the highest x - ray surface brightness of all know supergiant shells in the large magellanic cloud ( lmc ) . the x - ray emission peaks within the ionized filaments that define the shell boundary , but also extends beyond the southern border of lmc2 as an x - ray bright spur . _ rosat _ hri images reveal th... |
1011.1180 | i | a growing number of radio pulsars have now been observed for over a decade ( some for more than 30 years ) and are , in general , very stable rotators . however , many pulsars also exhibit timing irregularities , such as `` glitches '' , which are sudden increases in the rotation rate , and `` timing noise '' , a gener... | long wavelength oscillations ( tkachenko waves ) of the triangular lattice of quantized vortices in superfluid neutron stars have been suggested as one of the possible explanations for the timing noise observed in many radio pulsars , in particular for the 100 - 1000 day variations in the spin of psr 1828 - 11 . most s... | long wavelength oscillations ( tkachenko waves ) of the triangular lattice of quantized vortices in superfluid neutron stars have been suggested as one of the possible explanations for the timing noise observed in many radio pulsars , in particular for the 100 - 1000 day variations in the spin of psr 1828 - 11 . most s... |
0810.1838 | i | a vast number of astronomical observations suggests that magnetic fields play a crucial role in the dynamics of many phenonema of relativistic astrophyics , either on stellar scales , such as for pulsars , magnetars , compact x - ray binaries , short and long / gamma - ray bursts ( grbs ) and possibly for the collapse ... | , there are several astrophysical processes involving magnetic fields which are highly dynamical and for which resistive effects can play an important role . we here present a novel approach for the solution of these relativistic resistive mhd equations exploiting the properties of implicit - explicit ( imex ) runge ku... | many astrophysical processes involving magnetic fields and quasi - stationary processes are well described when assuming the fluid as a perfect conductor . for these systems , the ideal - magnetohydrodynamics ( mhd ) description captures the dynamics effectively and a number of well - tested techniques exist for its nu... |
0804.1693 | i | convex and concave functions appear naturally in many branches of science such as biology ( growth ) , medicine ( dose - response ) , or economics ( utility , production or costs ) , spurring in turn the interest of other areas , for example , statistics . it is no surprise , then , that many problems of theoretical an... | many problems of theoretical and practical interest involve finding an optimum over a family of convex functions . previous work has concentrated on non - local descriptions of convexity , making the number of constraints to grow super - linearly with the number of nodes even in dimension 2 , and these descriptions are... | many problems of theoretical and practical interest involve finding an optimum over a family of convex functions . for instance , finding the projection on the convex functions in , and optimizing functionals arising from some problems in economics . in the continuous setting and assuming smoothness , the convexity ... |
nlin0607066 | i | during the last two decades the so - called `` rapid change model '' of a passively advected scalar by a self - similar gaussian @xmath8correlated in time velocity field introduced by kraichnan @xcite and number of its extensions have played the central role in the theoretical investigation of intermittency and anomalo... | the inertial - range stability of the corresponding scaling regime is established . the anomalous scaling of the single - time structure functions is studied and the corresponding anomalous exponents are calculated . their dependence on the compressibility parameter and anisotropy parameters is analyzed . all calculati... | model of a passive scalar field advected by the compressible gaussian strongly anisotropic velocity field with the covariance is studied by using the field theoretic renormalization group and the operator product expansion . the inertial - range stability of the corresponding scaling regime is established . the anomalo... |
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