On stability of determination of Riemann surface from its DN-mapSuppose that M is a Riemann surface with boundary ∂ M, Λ is its DN-map, and E:Mn % JM is a holomorphic immersion. Let M' be diffeomorphic…M. I. Belishev, D. V. Korikov·Dec 29, 2021SaveLearn
New solvable matrix models IIIWe present a class of matrix models which can be written as double series in the projective Schur functions.A. Yu. Orlov·Dec 29, 2021SaveLearn
Fermionic integrable models and graded Borchers triplesWe provide an operator-algebraic construction of integrable models of quantum field theory on 1+1 dimensional Minkowski space with fermionic scattering states. These are obtained by a grading of the…Henning Bostelmann, Daniela Cadamuro·Dec 29, 2021SaveLearn
On solutions of the Bethe Ansatz for the Quantum KdV modelWe study the Bethe Ansatz Equations for the Quantum KdV model, which are also known to be solved by the spectral determinants of a specific family of anharmonic oscillators called monster potentials…Riccardo Conti, Davide Masoero·Dec 29, 2021SaveLearn
A finite temperature version of the Nagaoka--Thouless theorem in the SU(n) Hubbard modelThe Aizenman--Lieb theorem for the SU(2) Hubbard model expands upon the Nagaoka--Thouless theorem for the ground state to encompass finite temperatures. It can be succinctly stated that…Tadahiro Miyao·Dec 29, 2021SaveLearn
Regularization of a strong-weak duality between pointlike interactions in one dimensionPointlike interactions between bosons in 1D are related to pointlike interactions between fermions through the Girardeau mapping. This mapping is a strong-weak duality since the coupling constants in…Etienne Granet·Dec 29, 2021SaveLearn
Gelfand--Dickey hierarchy, generalized BGW tau-function, and W-constraintsLet r≥ 2 be an integer. The generalized BGW tau-function for the Gelfand--Dickey hierarchy of (r-1) dependent variables (aka the r-reduced KP hierarchy) is defined as a particular…Di Yang, Chunhui Zhou·Dec 29, 2021SaveLearn
Winding Number Statistics of a Parametric Chiral Unitary Random Matrix EnsembleThe winding number is a concept in complex analysis which has, in the presence of chiral symmetry, a physics interpretation as the topological index belonging to gapped phases of fermions. We study…Petr Braun, Nico Hahn, Daniel Waltner et al.·Dec 29, 2021SaveLearn
Bootstrap approach to 1+1 dimensional integrable quantum field theories: the case of the Sinh-Gordon model1+1 dimensional integrable quantum field theories correspond to a sparse subset of quantum field theories where the calculation of physically interesting observables can be brought to explicit,…Karol K. Kozlowski·Dec 28, 2021SaveLearn
Kepler's conjecture and phase transitions in the high-density hard-core model on Z3We perform a rigorous study of the identical sphere packing problem in Z3 and of phase transitions in the corresponding hard-core model. The sphere diameter D>0 and the fugacity $u…A. Mazel, I. Stuhl, Y. Suhov·Dec 28, 2021SaveLearn
Cospectral quantum graphsSpectral problems are considered generated by the Sturm-Liouville equation on connected simple equilateral graphs with the Neumann and Dirichlet boundary conditions at the pendant vertices and…Anastasia Chernyshenko, Vyacheslav Pivovarchik·Dec 28, 2021SaveLearn
A Klein operator for paraparticlesIt has been known for a long time that there are two non-trivial possibilities for the relative commutation relations between a set of m parafermions and a set of n parabosons. These two choices…N. I. Stoilova, J. Van der Jeugt·Dec 28, 2021SaveLearn
SU2(C) symmetry in quantum spin chain ground states and Haldane's conjectureIn this paper, we prove that any translation and SU2()-invariant pure state of =k ∈ \!M(k)d(), that is also real, lattice symmetric and reflection positive with a…Anilesh Mohari·Dec 28, 2021SaveLearn
Tau-functions for the Ablowitz--Ladik hierarchy: the matrix-resolvent methodWe extend the matrix-resolvent method for computing logarithmic derivatives of tau-functions to the Ablowitz--Ladik hierarchy. In particular, we derive a formula for the generating series of the…Mattia Cafasso, Di Yang·Dec 28, 2021SaveLearn
Some mathematical aspects of Anderson localization: boundary effect, multimodality, and bifurcationAnderson localization is a famous wave phenomenon that describes the absence of diffusion of waves in a disordered medium. Here we generalize the landscape theory of Anderson localization to general…Chen Jia, Ziqi Liu, Zhimin Zhang·Dec 27, 2021SaveLearn
Projections of Orbital Measures and Quantum Marginal ProblemsThis paper studies projections of uniform random elements of (co)adjoint orbits of compact Lie groups. Such projections generalize several widely studied ensembles in random matrix theory, including…Benoît Collins, Colin McSwiggen·Dec 27, 2021SaveLearn
The spectral gap of a fractional quantum Hall system on a thin torusWe study a fractional quantum Hall system with maximal filling = 1/3 in the thin torus limit. The corresponding Hamiltonian is a truncated version of Haldane's pseudopotential, which upon a…Simone Warzel, Amanda Young·Dec 27, 2021SaveLearn
Double groupoids in the theory of material uniformityThe use of double groupoids and their associated double Lie algebroids and characteristic distributions is proposed for the description and analysis of continuous media that carry two different…Marcelo Epstein·Dec 27, 2021SaveLearn
Asymptotics of the number of possible endpoints of a random walk on a directed Hamiltonian metric graphIn this paper, the leading term of the asymptotics of the number of possible final positions of a random walk on a directed Hamiltonian metric graph is found. Consideration of such dynamical systems…Daniil Pyatko, Vsevolod Chernyshev·Dec 27, 2021SaveLearn
Variational symmetries of Lagrangian systems with higher-order derivativesWe discuss an elementary derivation of variational symmetries and corresponding integrals of motion for the Lagrangian systems depending on acceleration. Providing several examples, we make the…Ege Coban, Ilmar Gahramanov, Dilara Kosva·Dec 26, 2021SaveLearn
A quantization of moduli spaces of 3-dimensional gravityWe construct a quantization of the moduli space GH(S×R) of maximal globally hyperbolic Lorentzian metrics on S× R with constant sectional curvature…Hyun Kyu Kim, Carlos Scarinci·Dec 26, 2021SaveLearn
Optimization landscape in the simplest constrained random least-square problemWe analyze statistical features of the ``optimization landscape'' in a random version of one of the simplest constrained optimization problems of the least-square type: finding the best…Yan V. Fyodorov, Rashel Tublin·Dec 26, 2021SaveLearn
Cluster expansions: Necessary and sufficient convergence conditionsWe prove a new convergence condition for the activity expansion of correlation functions in equilibrium statistical mechanics with possibly negative pair potentials. For non-negative pair potentials,…Sabine Jansen, Leonid Kolesnikov·Dec 24, 2021SaveLearn
Ornstein-Zernike behavior for Ising models with infinite-range interactionsWe prove Ornstein-Zernike behavior for the large-distance asymptotics of the two-point function of the Ising model above the critical temperature under essentially optimal assumptions on the…Yacine Aoun, Sébastien Ott, Yvan Velenik·Dec 24, 2021SaveLearn
Three-dimensional fundamental diagram of particle system of 5 neighbors with two conserved densitiesWe discuss a particle system of 5 neighbors with two independent conserved densities. The mean momentum uniquely depends on a pair of the densities and a three-dimensional fundamental diagram is…Kazushige Endo, Daisuke Takahashi·Dec 24, 2021SaveLearn