Legendre transforms for type An and Bn -systemsThe Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations have a rich structure related to the theory of Frobenius manifolds, with many known families of solutions. A Legendre transformation is a…Misha Feigin, Leo Kaminski, Ian A. B. Strachan·Jul 29, 2024SaveLearn
Limit of nonlinear Signorini problems for incompressible materialsThe paper is devoted to the linearization of the non linear Signorini functional in the incompressible case. The limit functional, in the sense of Gamma-convergence, may coincide with the expected…Edoardo Mainini, Danilo Percivale, Robertus van der Putten·Jul 29, 2024SaveLearn
Integrable and superintegrable quantum mechanical systems with position dependent masses invariant with respect to one parametric Lie groups. 2. Systems with dilatation and shift symmetries3d quantum mechanical systems with position dependent masses (PDM) admitting at least one second order integral of motion and symmetries with respect to dilatation or shift transformations are…A. G. Nikitin·Jul 29, 2024SaveLearn
Graded colour Lie superalgebras for solving L\'evy-Leblond equationsThe L\'evy-Leblond equation with free potential admits a symmetry algebra that is a Z2×Z2 -graded colour Lie superalgebra (see arXiv:1609.08224). We extend this result in…Mitchell Ryan·Jul 29, 2024SaveLearn
Gelfand-Dickey Realizations of the supersymmetric classical W-algebras for gl(n+1|n) and gl(n|n)In this paper we realize the supersymmetric classical W-algebras W(gl(n+1|n)) and W(gl(n|n)) as differential algebras generated…Sylvain Carpentier, UhiRinn Suh·Jul 29, 2024SaveLearn
Dimers and M-Curves: Limit Shapes from Riemann SurfacesWe present a general approach for the study of dimer model limit shape problems via variational and integrable systems techniques. In particular we deduce the limit shape of the Aztec diamond and the…Alexander I. Bobenko, Nikolai Bobenko·Jul 28, 2024SaveLearn
GUE via Frobenius Manifolds. II. Loop EquationsA theorem of Dubrovin establishes the relationship between the GUE partition function and the partition function of Gromov-Witten invariants of the complex projective line. Based on this theorem we…Di Yang·Jul 27, 2024SaveLearn
Dynamical localization for random scattering zippersThis article establishes a proof of dynamical localization for a random scattering zipper model. The scattering zipper operator is the product of two unitary by blocks operators, multiplicatively…Amine Khouildi, Hakim Boumaza·Jul 27, 2024SaveLearn
Cauchy's invariants revisited. An alternative variational proofThe purpose of this paper is two-fold. First, to provide a straightforward proof of the Cauchy's invariants (CIs) from the particle relabeling symmetry of the action functional for rotational…Gerassimos A. Athanassoulis, Anastasia Sachinidou·Jul 26, 2024SaveLearn
The flux norm, Bohr-Sommerfeld Quantization Rules and the scattering problem for h 's on the real lineWe revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D h-Pseudo-differential operator within the algebraic and microlocal framework of Helffer and…Abdelwaheb Ifa, Michel Rouleux·Jul 26, 2024SaveLearn
Exponentially fast selection of sectors for quantum trajectories beyond non demolition measurementsWe show that, in long time, quantum trajectories select an invariant subspace of the Hilbert space of the system being indirectly measured. This selection is shown to be exponentially fast in an…Tristan Benoist, Linda Greggio, Clément Pellegrini·Jul 26, 2024SaveLearn
Knotted optical fields: Seifert fibrations, braided open books and topological constraintsThis paper presents a novel framework for studying knotted and braided configurations of optical fields, moving beyond the conventional Hopfion solution based on the Hopf fibration. By employing the…Annalisa Marzuoli, Nicola Sanna·Jul 26, 2024SaveLearn
Generalized Hamilton spaces: new developments and applicationsIn this work, we make new developments in generic cotangent bundle geometries, depending on all phase-space variables. In particular, we will focus on the so-called generalized Hamilton spaces,…J. J. Relancio, L. Santamaría-Sanz·Jul 26, 2024SaveLearn
Factorization Way to Symmetries of Systems on Curved SpacesIn a previous work we showcased the factorization method to find the symmetries of superintegrable systems with spherical separability in flat spaces. Here we analyze the same problem, but in…Sergio Salamanca·Jul 26, 2024SaveLearn
Quantum Point Charges Interacting with Quasi-classical Electromagnetic FieldsWe study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state shows a large average…S. Breteaux, M. Correggi, M. Falconi et al.·Jul 26, 2024SaveLearn
Condensation and non-condensation times for 4-wave kinetic equationsInspired by the pioneering work of Escobedo and Velazquez EscobedoVelazquez:2015:FTB,EscobedoVelazquez:2015:OTT, we prove that solutions of 4-wave kinetic equations, under very general forms…Gigliola Staffilani, Minh-Binh Tran·Jul 26, 2024SaveLearn
On the energy transfer towards large values of wavenumbers for solutions of 4-wave kinetic equationsInspired by the fundamental work of Escobedo and Velazquez EscobedoVelazquez:2015:FTB,EscobedoVelazquez:2015:OTT, we prove that solutions of 4-wave kinetic equations, under very general forms…Gigliola Staffilani, Minh-Binh Tran·Jul 26, 2024SaveLearn
Cubic algebras, induced representations and general solution of the exceptional Laguerre equation X1We consider the case of exceptional Laguerre polynomials X1 of type I, II and III, their ordinary differential equations and the problem of finding general solution beside the polynomial part. We…Ian Marquette·Jul 26, 2024SaveLearn
Osterwalder-Schrader axioms for unitary full vertex operator algebrasFull Vertex Operator Algebras (full VOA) are extensions of two commuting Vertex Operator Algebras, introduced to formulate compact two-dimensional conformal field theory. We define unitarity,…Maria Stella Adamo, Yuto Moriwaki, Yoh Tanimoto·Jul 25, 2024SaveLearn
Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensembleWe study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic Ginibre ensemble of Gaussian non-Hermitian random matrices with independent quaternion…Gernot Akemann, Sung-Soo Byun, Kohei Noda·Jul 25, 2024SaveLearn
Bounds and Phase Transitions for Phonons in Complex Network StructuresWe study a model of networked atoms or molecules oscillating around their equilibrium positions. The model assumes the harmonic approximation of the interactions. We provide bounds for the total…Riccardo Bonetto·Jul 25, 2024SaveLearn
Vector tomography for reconstructing electric fields with non-zero divergence in bounded domainsIn vector tomography (VT), the aim is to reconstruct an unknown multi-dimensional vector field using line integral data. In the case of a 2-dimensional VT, two types of line integral data are usually…Alexandra Koulouri, Mike Brookes, Ville Rimpilainen·Jul 25, 2024SaveLearn
Generalized Uncertainty Principle theories and their classical interpretationIn this work, we show that it is possible to define a classical system associated with a Generalized Uncertainty Principle (GUP) theory via the implementation of a consistent symplectic structure.…Matteo Bruno, Sebastiano Segreto, Giovanni Montani·Jul 24, 2024SaveLearn
Vertex Weight Reconstruction in the Gel'fand's Inverse Problem on Connected Weighted GraphsWe consider the reconstruction of the vertex weight in the discrete Gel'fand's inverse boundary spectral problem for the graph Laplacian. Given the boundary vertex weight and the edge weight of the…Songshuo Li, Yixian Gao, Ru Geng et al.·Jul 24, 2024SaveLearn
Generation of chaos in the cumulant hierarchy of the stochastic Kac modelWe study the time-evolution of cumulants of velocities and kinetic energies in the stochastic Kac model for velocity exchange of N particles, with the aim of quantifying how fast these degrees of…Jani Lukkarinen, Aleksis Vuoksenmaa·Jul 24, 2024SaveLearn