Date: Thu, 29 Oct 15 00:20:39 GMT Subject: math-ph daily 10 new + 8 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Tue 27 Oct 15 20:00:00 GMT to Wed 28 Oct 15 20:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1510.08134 Date: Tue, 27 Oct 2015 23:49:38 GMT (19kb) Title: Towards a quantum sampling theory: the case of finite groups Authors: Antonio G. Garc\'ia, Miguel A. Hern\'andez-Medina, A. Ibort Categories: math-ph math.MP MSC-class: 20C40, 42C15, 94A20 \\ Nyquist-Shannon sampling theorem, instrumental in classical telecommunication technologies, is extended to quantum systems supporting a unitary representation of a finite group $G$. Two main ideas from the classical theory having natural counterparts in the quantum setting: frames and invariant subspaces, provide the mathematical background for the theory. The main ingredients of classical sampling theorems are discussed and their quantum counterparts are thoroughly analyzed in this simple situation. A few examples illustrating the obtained results are discussed. \\ ( http://arxiv.org/abs/1510.08134 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08136 Date: Wed, 28 Oct 2015 00:09:37 GMT (330kb,D) Title: The Topology and Geometry of self-adjoint and elliptic boundary conditions for Dirac and Laplace operators Authors: M. Asorey, A. Ibort, G. Marmo Categories: math-ph math.MP Comments: 77 pages Journal-ref: Int. J. Geom. Methods in Modern Physics, 12 (6) 1561007 (2015) \\ The theory of self-adjoint extensions of first and second order elliptic differential operators on manifolds with boundary is studied via its most representative instances: Dirac and Laplace operators. The theory is developed by exploiting the geometrical structures attached to them and, by using an adapted Cayley transform on each case, the space $\mathcal{M}$ of such extensions is shown to have a canonical group composition law structure. The obtained results are compared with von Neumann's Theorem characterising the self-adjoint extensions of densely defined symmetric operators on Hilbert spaces. The 1D case is thoroughly investigated. The geometry of the submanifold of elliptic self-adjoint extensions $\mathcal{M}_\mathrm{ellip}$ is studied and it is shown that it is a Lagrangian submanifold of the universal Grassmannian $\mathbf{Gr}$. The topology of $\mathcal{M}_\mathrm{ellip}$ is also explored and it is shown that there is a canonical cycle whose dual is the Maslov class of the manifold. Such cycle, called the Cayley surface, plays a relevant role in the study of the phenomena of topology change. Self-adjoint extensions of Laplace operators are discussed in the path integral formalism, identifying a class of them for which both treatments leads to the same results. A theory of dissipative quantum systems is proposed based on this theory and a unitarization theorem for such class of dissipative systems is proved. The theory of self-adjoint extensions with symmetry of Dirac operators is also discussed and a reduction theorem for the self-adjoint elliptic Grasmmannian is obtained. Finally, an interpretation of spontaneous symmetry breaking is offered from the point of view of the theory of self-adjoint extensions. \\ ( http://arxiv.org/abs/1510.08136 , 330kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08140 Date: Wed, 28 Oct 2015 00:29:59 GMT (167kb,D) Title: Quantum Tomography twenty years later Authors: M. Asorey, A. Ibort, G. Marmo, F. Ventriglia Categories: math-ph math.MP Journal-ref: Phys. Scripta, 90, 074031 (17 pp) (2015) \\ A sample of some relevant developments that have taken place during the last twenty years in classical and quantum tomography are displayed. We will present a general conceptual framework that provides a simple unifying mathematical picture for all of them and, as an effective use of it, three subjects have been chosen that offer a wide panorama of the scope of classical and quantum tomography: tomography along lines and submanifolds, coherent state tomography and tomography in the abstract algebraic setting of quantum systems. \\ ( http://arxiv.org/abs/1510.08140 , 167kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08163 Date: Wed, 28 Oct 2015 02:04:10 GMT (270kb) Title: Exact travelling wave solutions of non-linear reaction-convection-diffusion equations -- an Abel equation based approach Authors: T. Harko, M. K. Mak Categories: math-ph math.CA math.MP Comments: 35 pages, 3 figures, accepted for publication in JMP. arXiv admin note: text overlap with arXiv:1409.0605 \\ We consider quasi-stationary (travelling wave type) solutions to a general nonlinear reaction-convection-diffusion equation with arbitrary, autonomous coefficients. The second order nonlinear equation describing one dimensional travelling waves can be reduced to a first kind first order Abel type differential equation By using two integrability conditions for the Abel equation (the Chiellini lemma and the Lemke transformation), several classes of exact travelling wave solutions of the general reaction--convection-diffusion equation are obtained, corresponding to different functional relations imposed between the diffusion, convection and reaction functions. In particular, we obtain travelling wave solutions for two non-linear second order partial differential equations, representing generalizations of the standard diffusion equation and of the classical Fisher--Kolmogorov equation, to which they reduce for some limiting values of the model parameters. The models correspond to some specific, power law type choices of the reaction and convection functions, respectively. The travelling wave solutions of these two classes of differential equations are investigated in detail by using both numerical and semi-analytical methods. \\ ( http://arxiv.org/abs/1510.08163 , 270kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08243 Date: Wed, 28 Oct 2015 10:04:28 GMT (202kb,D) Title: Classical and Quantum Stochastic Models of Resistive and Memristive Circuits Authors: John E. Gough and Guofeng Zhang Categories: math-ph math.DS math.MP math.OC quant-ph Comments: 12 pages, 5 figures \\ The purpose of this paper is to examine stochastic Markovian models for circuits in phase space for which the drift term is equivalent to the standard circuit equations. In particular we include dissipative components corresponding to both a resistor and a memristor in series. We obtain a dilation of the problem for which is canonical in the sense that the underlying Poisson Brackets structure is preserved under the stochastic flow. We do this first of all for standard Wiener noise, but also treat the problem using a new concept of symplectic noise where the Poisson structure is extended to the noise as well as the circuit variables, and in particular where we have canonically conjugate noises. Finally we construct a dilation which describes the quantum mechanical analogue. \\ ( http://arxiv.org/abs/1510.08243 , 202kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08248 Date: Wed, 28 Oct 2015 10:14:53 GMT (4079kb,D) Title: On global fluctuations for non-colliding processes Authors: Maurice Duits Categories: math-ph math.MP math.PR Comments: 77 pages, 6 figures \\ We study the global fluctuations for a class of determinantal point processes coming from large systems of non-colliding processes and non-intersecting paths. Our main assumption is that the point processes are constructed by biorthogonal families that satisfy finite term recurrence relations. The central observation of the paper is that the fluctuations of multi-time or multi-layer linear statistics can be efficiently expressed in terms of the associated recurrence matrices. As a consequence, we prove that different models which share the same asymptotic behavior of the recurrence matrices, also share the same asymptotic behavior for the global fluctuations. An important special case is when the recurrence matrices have limits along the diagonals, in which case we prove Central Limit Theorems for the linear statistics. We then show that these results prove Gaussian Free Field fluctuations for the random surfaces associated to these systems. To illustrate the results, several examples will be discussed, including non-colliding processes for which the invariant measures are the classical orthogonal polynomial ensembles and random lozenge tilings of a hexagon. \\ ( http://arxiv.org/abs/1510.08248 , 4079kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08263 Date: Wed, 28 Oct 2015 11:44:14 GMT (11kb) Title: Hyperbolic Flows and the Question of Quantum Chaos Authors: Geoffrey L. Sewell Categories: math-ph math.MP quant-ph Comments: This article is based on a lecture in the G. G. Emch Memorial Session of the XXXIV Workshop on Geometric Methods in Physics, held in Bialowieza, Poland over the period 28 June to 4 July, 2015 \\ Hyperbolic flows, as formulated by Anosov, are the prototypes of chaotic evolutions in classical dynamical systems. Here we provide a concise updated account of their quantum counterparts originally formulated by Emch, Narnhofer, Thirring and Sewell within the operator algebraic setting of quantum theory: and we discuss their bearing on the question of quantum chaos. \\ ( http://arxiv.org/abs/1510.08263 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08302 Date: Wed, 28 Oct 2015 13:34:11 GMT (55kb,D) Title: Quasilocal conservation laws from semicyclic irreducible representations of $U_q(\mathfrak{sl}_2)$ in $XXZ$ spin-$1/2$ chains Authors: Lenart Zadnik, Marko Medenjak, Tomaz Prosen Categories: math-ph math.MP \\ We construct quasilocal conserved charges in the gapless ($|\Delta| \le 1$) regime of the Heisenberg $XXZ$ spin-$1/2$ chain, using semicyclic irreducible representations of $U_q(\mathfrak{sl}_2)$. These representations are characterized by a periodic action of ladder operators, which act as generators of the aforementioned algebra. Unlike previously constructed conserved charges, the new ones do not preserve magnetization, i.e. they do not possess the $U(1)$ symmetry of the Hamiltonian. The possibility of application in relaxation dynamics resulting from $U(1)$-breaking quantum quenches is discussed. \\ ( http://arxiv.org/abs/1510.08302 , 55kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08379 Date: Wed, 28 Oct 2015 16:56:58 GMT (649kb,D) Title: Global structure and geodesics for Koenigs superintegrable systems Authors: Galliano Valent Categories: math-ph math.MP nlin.SI Comments: 40 pages, 4 figures \\ Starting from the framework defined by Matveev and Shevchishin we derive the local and the global structure for the four types of super-integrable Koenigs metrics. These dynamical systems are always defined on non-compact manifolds, namely $\,{\mb R}^2\,$ and $\,{\mb H}^2$. The study of their geodesic flows is made easier using their linear and quadratic integrals. Using Carter (or minimal) quantization we show that the formal superintegrability is preserved at the quantum level and in two cases, for which all of the geodesics are closed, it is even possible to compute the discrete spectrum of the quantum hamiltonian. \\ ( http://arxiv.org/abs/1510.08379 , 649kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08408 Date: Wed, 28 Oct 2015 18:38:44 GMT (15kb) Title: Trace formulas for Schr\"odinger operators on star graphs Authors: Semra Demirel-Frank, Laura Shou Categories: math-ph math.MP \\ We derive trace formulas of the Buslaev-Faddeev type for quantum star graphs. One of the new ingredients is high energy asymptotics of the perturbation determinant. \\ ( http://arxiv.org/abs/1510.08408 , 15kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1510.08209 (*cross-listing*) Date: Wed, 28 Oct 2015 07:00:17 GMT (17kb) Title: On finding an obstacle with the Leontovich boundary condition via the time domain enclosure method Authors: Masaru Ikehata Categories: math.AP math-ph math.MP Comments: 32pages MSC-class: 35R30, 35L50, 35Q61, 78A46, 78M35 \\ An inverse obstacle scattering problem for the wave governed by the Maxwell system in the time domain, in particular, over a finite time interval is considered. It is assumed that the electric field $\mbox{\boldmath $E$}$ and magnetic field $\mbox{\boldmath $H$}$ which are solutions of the Maxwell system are generated only by a current density at the initial time located not far a way from an unknown obstacle. The obstacle is embedded in a medium like air which has constant electric permittivity $\epsilon$ and magnetic permeability $\mu$. It is assumed that the fields on the surface of the obstacle satisfy the impedance-or the Leontovich boundary condition $\mbox{\boldmath $\nu$}\times\mbox{\boldmath $H$} -\lambda\,\mbox{\boldmath $\nu$}\times(\mbox{\boldmath $E$}\times\mbox{\boldmath $\nu$})=\mbox{\boldmath $0$}$ with $\lambda$ an unknown positive function and $\mbox{\boldmath $\nu$}$ the unit outward normal. The observation data are given by the electric field observed at the same place as the support of the current density over a finite time interval. It is shown that an indicator function computed from the electric fields corresponding two current densities enables us to know: the distance of the center of the common spherical support of the current densities to the obstacle; whether the value of the impedance $\lambda$ is greater or less than the special value $\sqrt{\epsilon/\mu}$. \\ ( http://arxiv.org/abs/1510.08209 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08236 (*cross-listing*) Date: Wed, 28 Oct 2015 09:32:54 GMT (25kb) Title: A new higher-spin theory of supergravity in 2+1 dimensions Authors: George Georgiou Categories: hep-th gr-qc math-ph math.MP Comments: 28 pages \\ We construct a novel higher-spin theory of gravity in 2+1 spacetime dimensions. The construction is based on a higher-spin super-algebra extending the Poincare group. Our algebra accommodates all integer and half-integer spins from 1 to infinity and, in contrast to the results in the existing literature, allows for more than one particle of spin s. Subsequently, we generalise the construction to include a cosmological constant. In this case, the higher-spin group is an extension of the AdS or dS group and contains only bosonic generators. Treating the higher-spin groups as gauge groups we write down the Chern-Simons like action, the transformation laws for the fields of the theory and their equations of motion in each of the three aforementioned cases. Finally, we comment on the generalisation of our algebras in $d+1$ dimensions. \\ ( http://arxiv.org/abs/1510.08236 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08257 (*cross-listing*) Date: Wed, 28 Oct 2015 11:16:29 GMT (19kb) Title: Momentum Maps for Smooth Projective Unitary Representations Authors: Bas Janssens, Karl-Hermann Neeb Categories: math.RT math-ph math.MP Comments: 13 pages MSC-class: 17B15, 17B56, 17B65, 22E45, 22E60, 22E65, 22E66 \\ For a smooth projective unitary representation of a locally convex Lie group G, the projective space of smooth vectors is a locally convex Kaehler manifold. We show that the action of G on this space is weakly Hamiltonian, and lifts to a Hamiltonian action of the central U(1)-extension of G obtained from the projective representation. We identify the non-equivariance cocycles obtained from the weakly Hamiltonian action with those obtained from the projective representation, and give some integrality conditions on the image of the momentum map. \\ ( http://arxiv.org/abs/1510.08257 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08268 (*cross-listing*) Date: Wed, 28 Oct 2015 11:52:39 GMT (23kb) Title: Dissipative Dynamics of Quantum Fluctuations Authors: F. Benatti, F. Carollo, R. Floreanini Categories: quant-ph cond-mat.other hep-th math-ph math.MP Comments: LaTex, 30 pages Journal-ref: Ann. Phys. (Berlin) 527, 639-655 (2015) DOI: 10.1002/andp.201500165 \\ One way to look for complex behaviours in many-body quantum systems is to let the number $N$ of degrees of freedom become large and focus upon collective observables. Mean-field quantities scaling as $1/N$ tend to commute, whence complexity at the quantum level can only be inherited from complexity at the classical level. Instead, fluctuations of microscopic observables scale as $1/\sqrt{N}$ and exhibit collective Bosonic features, typical of a mesoscopic regime half-way between the quantum one at the microscopic level and the classical one at the level of macroscopic averages. Here, we consider the mesoscopic behaviour emerging from an infinite quantum spin chain undergoing a microscopic dissipative, irreversible dynamics and from global states without long-range correlations and invariant under lattice translations and dynamics. We show that, from the fluctuations of one site spin observables whose linear span is mapped into itself by the dynamics, there emerge bosonic operators obeying a mesoscopic dissipative dynamics mapping Gaussian states into Gaussian states. Instead of just depleting quantum correlations because of decoherence effects, these maps can generate entanglement at the collective, mesoscopic level, a phenomenon with no classical analogue that embodies a peculiar complex behaviour at the interface between micro and macro regimes. \\ ( http://arxiv.org/abs/1510.08268 , 23kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08298 (*cross-listing*) Date: Wed, 28 Oct 2015 13:17:49 GMT (11kb) Title: Quasinormal modes of the hydrodynamic vortex Authors: H. S. Vieira Categories: gr-qc cond-mat.other math-ph math.MP Comments: 8 pages, 1 figure MSC-class: 33E15, 34B09, 81Q05, 83C45, 83C75, 83C80 \\ We study the sound perturbation of the hydrodynamic vortex geometry and present an exact expression for the quasinormal modes of this geometry. Exact solution for the radial part of the covariant Klein-Gordon equation in this spacetime is obtained, and is given in terms of the double confluent Heun functions. We found that the quasinormal frequencies are complex number. \\ ( http://arxiv.org/abs/1510.08298 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08314 (*cross-listing*) Date: Wed, 28 Oct 2015 14:10:11 GMT (21kb) Title: A geometric characterization of certain first integrals for nonholonomic systems with symmetries Authors: P. Balseiro and N. Sansonetto Categories: math.DS math-ph math.MP math.SG \\ We study the existence of first integrals in nonholonomic systems with symmetry. First we define the concept of M--cotangent lift of a vector field on a manifold Q in order to unify the works [2] and [22, 19]. Second, we study gauge symmetries and gauge momenta, in the cases in which there are the symmetry that satisfy the so--called "vertical symmetry condition". Under such condition we can predict the number of linearly independent first integrals (that are gauge momenta). We illustrate the theory with two examples. \\ ( http://arxiv.org/abs/1510.08314 , 21kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08333 (*cross-listing*) Date: Wed, 28 Oct 2015 15:00:22 GMT (15kb) Title: Quantum Mirror Symmetry for Borcea-Voisin Threefolds Authors: Andrew Schaug Categories: math.AG math-ph math.MP Comments: 13 pages \\ Borcea-Voisin threefolds provided some of the first examples of mirror pairs in the Hodge-theoretic sense, but their mirror symmetry at the quantum level have not previously been shown. We prove a Givental-style quantum mirror theorem for certain Borcea-Voisin threefolds: by means of certain birational models, we show that their Gromov-Witten J-functions are related by a mirror map to solutions of the multi-parameter Picard-Fuchs equations coming from the variation of Hodge structures of their mirror partners. \\ ( http://arxiv.org/abs/1510.08333 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1510.08357 (*cross-listing*) Date: Wed, 28 Oct 2015 15:54:23 GMT (8kb) Title: A generalized detailed balance relation Authors: David Ruelle Categories: physics.bio-ph math-ph math.MP physics.chem-ph Comments: 10 pages \\ Given a system $M$ in a thermal bath we obtain a generalized detailed balance relation for the ratio $r=\pi_\tau(K\to J)/\pi_\tau(J\to K)$ of the transition probabilities $M:J\to K$ and $M:K\to J$ in time $\tau$. We assume an active bath, containing solute molecules in metastable states. These molecules may react with $M$ and the transition $J\to K$ occurs through different channels $\alpha$ involving different reactions with the bath. We find that $r=\sum p^\alpha r^\alpha$, where $p^\alpha$ is the probability that channel $\alpha$ occurs, and $r^\alpha$ depends on the amount of heat (more precisely enthalpy) released to the bath in channel $\alpha$. \\ ( http://arxiv.org/abs/1510.08357 , 8kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:1302.5760 (*cross-listing*) replaced with revised version Wed, 28 Oct 2015 19:53:34 GMT (254kb) Title: Weakly Asymmetric Non-Simple Exclusion Process and the Kardar-Parisi-Zhang Equation Authors: Amir Dembo, Li-Cheng Tsai Categories: math.PR math-ph math.MP Comments: 32 pages, 1 figure. Comm. Math. Phys. in press. Reverted to v3 (i.e. v5 == v3) because v4 was a different paper that was mistakenly uploaded and should be ignored. v1 has errors; major changes made in v2 MSC-class: 60K35 (Primary), 60H15, 82C22 (Secondary) \\ ( http://arxiv.org/abs/1302.5760 , 254kb) ------------------------------------------------------------------------------ \\ arXiv:1303.0251 (*cross-listing*) replaced with revised version Wed, 28 Oct 2015 12:43:20 GMT (16kb) Title: Non-geometric fluxes versus (non)-geometry Authors: David Andriot Categories: hep-th math-ph math.MP Comments: 12 pages; this paper is based on a talk given at String-Math 2012 in Bonn, Germany, and contributes to the proceedings of this conference; v2: references added; v3: published version \\ ( http://arxiv.org/abs/1303.0251 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1404.4485 (*cross-listing*) replaced with revised version Wed, 28 Oct 2015 14:24:52 GMT (23kb) Title: Renormalized Energy and Asymptotic Expansion of Optimal Logarithmic Energy on the Sphere Authors: Laurent B\'etermin, Etienne Sandier (LAMA) Categories: math.AP math-ph math.MP Comments: 28 pages \\ ( http://arxiv.org/abs/1404.4485 , 23kb) ------------------------------------------------------------------------------ \\ arXiv:1410.6938 replaced with revised version Wed, 28 Oct 2015 00:09:27 GMT (2199kb,D) Title: Gauge invariant surface holonomy and monopoles Authors: Arthur J. Parzygnat Categories: math-ph math.CT math.DG math.MP Comments: 99 pages, 31 figures (2 are new), v2 is published version, updates include: several points clarified, added Defn 2.33 and 3.37 for markings, statement of smoothness removed from Thm 2.39 and 3.41, proof of Thm 4.13 corrected, proof of Lem 3.46 has been enhanced, appendix on 2-categories removed, index of notation added MSC-class: Primary 53C29, Secondary 70S15 Journal-ref: Theory Appl. Categ., Vol. 30, 2015, No. 42, pp 1319-1428 \\ ( http://arxiv.org/abs/1410.6938 , 2199kb) ------------------------------------------------------------------------------ \\ arXiv:1506.04727 (*cross-listing*) replaced with revised version Wed, 28 Oct 2015 03:47:10 GMT (84kb,D) Title: The Mirrors Model : Macroscopic Diffusion Without Noise or Chaos Authors: Yann Chiffaudel and Rapha\"el Lefevere Categories: cond-mat.stat-mech math-ph math.MP nlin.CD \\ ( http://arxiv.org/abs/1506.04727 , 84kb) ------------------------------------------------------------------------------ \\ arXiv:1506.09141 (*cross-listing*) replaced with revised version Wed, 28 Oct 2015 19:50:56 GMT (11kb) Title: Towards relativistic quantum geometry Authors: Luis Santiago Ridao, Mauricio Bellini (IFIMAR - UNMdP & CONICET) Categories: hep-th astro-ph.HE gr-qc math-ph math.MP Comments: 9 pages, no figures, improved version \\ ( http://arxiv.org/abs/1506.09141 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1509.01312 replaced with revised version Tue, 27 Oct 2015 21:50:27 GMT (11kb) Title: Analog of the Peter-Weyl Expansion for Lorentz Group Authors: Leonid Perlov Categories: math-ph gr-qc math.MP \\ ( http://arxiv.org/abs/1509.01312 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1509.04175 replaced with revised version Wed, 28 Oct 2015 09:27:24 GMT (16kb) Title: Finite Approximations of Physical Models over Local Fields Authors: Erik Makino Bakken, Trond Digernes Categories: math-ph math.MP MSC-class: 81Q65 \\ ( http://arxiv.org/abs/1509.04175 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1509.06592 (*cross-listing*) replaced with revised version Wed, 28 Oct 2015 12:42:49 GMT (461kb) Title: A procedure for the construction of non-stationary Riccati-type flows for incompressible 3D Navier-Stokes equations Authors: Sergey V. Ershkov Categories: math.AP math-ph math.MP Comments: 21 pages, 1 figure; this article is accepted for publication in "Rendiconti del Circolo Matematico di Palermo". Keywords: Navier-Stokes equations, non-stationary incompressible flow, Riccati ODE MSC-class: 35Q30, 76D03, 76D05, 76D17 \\ ( http://arxiv.org/abs/1509.06592 , 461kb) ------------------------------------------------------------------------------ \\ arXiv:1510.02327 replaced with revised version Wed, 28 Oct 2015 12:14:53 GMT (15kb) Title: Monge-Amp\`ere Structures and the Geometry of Incompressible Flows Authors: Bertrand Banos, Vladimir Roubtsov, Ian Roulstone Categories: math-ph math.MP Comments: 22 pages, version 2: misprints are corrected, some cosmetic textual changes and references are added MSC-class: 59J90, 76D05 \\ ( http://arxiv.org/abs/1510.02327 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1510.06136 (*cross-listing*) replaced with revised version Wed, 28 Oct 2015 04:18:13 GMT (6kb) Title: Soliton metrics for two-loop renormalization group flow on 3D unimodular Lie groups Authors: David Glickenstein and Liang Wu Categories: math.DG math-ph math.MP Comments: Added reference to arXiv:1510.08043 [math.DG], which has some overlapping results MSC-class: Primary 53C44, Secondary 53C30 \\ ( http://arxiv.org/abs/1510.06136 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1510.06597 (*cross-listing*) replaced with revised version Tue, 27 Oct 2015 22:53:18 GMT (92kb,D) Title: Spacings - An Example for Universality in Random Matrix Theory Authors: Thomas Kriecherbauer, Kristina Schubert Categories: math.PR math-ph math.MP Comments: reference [4] updated Journal-ref: Random Matrices and Iterated Random Functions, Springer Proceedings in Mathematics & Statistics, Volume 53, 2013, pp 45-71 DOI: 10.1007/978-3-642-38806-4_3 \\ ( http://arxiv.org/abs/1510.06597 , 92kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arxiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arxiv.org/help/