Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile ModelMotivated by the dissipative abelian sandpile model, we analyze the trajectories of a one-dimensional random walk in a landscape of soft traps. These traps, placed at increasing distances from each…Frank Redig, Ellen Saada, Berend van Tol·Jul 1, 2025SaveLearn
Poisson-Dirac Submanifolds as a Paradigm for Imposing Constraints in Non-dissipative Plasma ModelsWe present a generalization of Dirac constraint theory based on the theory of Poisson-Dirac submanifolds. The theory is formulated in a coordinate-free manner while simultaneously relaxing the…F. W. Pinto, J. W. Burby·Jun 30, 2025SaveLearn
A class of representations of the Z2×Z2-graded special linear Lie superalgebra sl(m1+1,m2|n1,n2) and quantum statisticsThe description of the Z2×Z2-graded special linear Lie superalgebra sl (m1+1,m2|n1,n2) is carried out via generators $a1,…,…N. I. Stoilova, J. Van der Jeugt·Jun 30, 2025SaveLearn
Canonical partial ordering from min-cuts and quantum entanglement in random tensor networksThe max-flow min-cut theorem has been recently used in the theory of random tensor networks in quantum information theory, where it is helpful for computing the behavior of important physical…Miao Hu, Ion Nechita·Jun 30, 2025SaveLearn
The Generalized Dirac Equation in the Metric Affine SpacetimeWe discuss the most general form of Dirac equation in the non-Riemannian spacetimes containing curvature, torsion and non-metricity. It includes all bases of the Clifford algebra cl(1,3) within…Muzaffer Adak, Ali Bagci, Caglar Pala et al.·Jun 30, 2025SaveLearn
A Closed-Form Approach to Oscillatory Integrals in Level-Crossing PhysicsWe present a closed-form, exact analytical solution, valid at finite times, to a class of multiple integrals with highly oscillatory kernels. Our approach leverages the intimate connection between…Maseim B. Kenmoe, Anicet D. Kammogne·Jun 29, 2025SaveLearn
Zernike polynomials from the tridiagonalization of the radial harmonic oscillator in displaced Fock statesWe revisit the J-matrix method for the one dimensional radial harmonic oscillator (RHO) and construct its tridiagonal matrix representation within an orthonormal basis phi(z)n of L2 (R+);parametrized…Hashim A. Yamani, Zouhaïr Mouayn·Jun 28, 2025SaveLearn
Quadratic Bureau-Guillot systems with the first and second Painlev\'e transcendents in the coefficients. Part I: geometric approach and birational equivalenceBureau proposed a classification of systems of quadratic differential equations in two variables which are free of movable critical points, which was recently revised by Guillot. We revisit the…Marta Dell'Atti, Galina Filipuk·Jun 28, 2025SaveLearn
Characteristic solutions of the chain of Vlasov equationsA new method has been presented of constructing a class of exact solutions of an infinite self-linking chain of the Vlasov equations for distribution functions of kinematic quantities of all orders.…E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva et al.·Jun 27, 2025SaveLearn
Recovering the Topology in One Point Interaction Problem on Extended Non-Local Star GraphsThe author studies the inverse spectral problem of Sturm-Liouville operator on a star-like graph. To this star-like graph centered at the origin as its vertex, there are attached m edges that…Lung-Hui Chen·Jun 27, 2025SaveLearn
Exponential decay in O(n)-invariant quantum spin systemsWe consider O(n)-invariant and reflection-positive quantum spin systems on the integer lattice in any dimension, and prove that spin-spin correlations decay exponentially fast provided n is large…Jakob E. Björnberg, Kieran Ryan·Jun 27, 2025SaveLearn
Notes on the one-loop amplituhedron and its BCFW tilingThese notes are based on talks I gave in the seminar "Mathematical structures in scattering amplitudes in quantum field theories" I organized in Weizmann Institute on Fall 24'. They study…Ran J. Tessler·Jun 27, 2025SaveLearn
Dissociation limits in Density Functional TheoryIn this paper we consider the Density Functional Theory (DFT) framework, where a functional of the form F()= T()+bC()-U() has to be minimized in the class of…Guy Bouchitté, Giuseppe Buttazzo, Thierry Champion et al.·Jun 27, 2025SaveLearn
A note on a classical dynamical system and its quantizationIn a recent paper a slightly modified version of the Bateman system, originally proposed to describe a damped harmonic oscillator, was proposed. This system is really different from the Bateman's…Fabio Bagarello·Jun 27, 2025SaveLearn
Spectral Geometry with Exceptional Symmetry and Charged Higgs FieldsWe lay the foundations for a general approach to nonassociative spectral geometry as an extension of Connes' noncommutative geometry by explaining how to construct finite-dimensional, discrete…Shane Farnsworth·Jun 26, 2025SaveLearn
Hamiltonian formulation of the quasineutral Vlasov-Poisson systemSlow manifold reduction and the theory of Poisson-Dirac submanifolds are used to deduce a Hamiltonian formulation for a quasineutral limit of the planar, collisionless, magnetized Vlasov-Poisson…J. W. Burby, D. A. Kaltsas, P. J. Morrison et al.·Jun 26, 2025SaveLearn
Asymmetry of curl eigenfields solving Woltjer's variational problemWe construct families of rotationally symmetric toroidal domains in R3 for which the eigenfields associated to the first (positive) Amp\`erian curl eigenvalue are symmetric, and others for…Daniel Peralta-Salas, David Perrella, David Pfefferlé·Jun 26, 2025SaveLearn
Disentangling tensor product structuresAs a contribution to the field of quantum mereology, we study how a change of tensor product structure in a finite-dimensional Hilbert space affects its entanglement properties. In particular, we ask…Antoine Soulas·Jun 26, 2025SaveLearn
Kac-Rice inspired approach to non-Hermitian random matricesWe suggest a method of analyzing the joint probability density (JPD) PN(z, v) of an eigenvalue z and the associated right eigenvector v (normalized with v* v=1)…Yan V Fyodorov·Jun 26, 2025SaveLearn
Reflections on Rota-Baxter Lie algebras, the classical reflection equation and Poisson homogeneous spacesIn this paper, first we introduce the notion of reflections on quadratic Rota-Baxter Lie algebras of weight λ, and show that they give rise to solutions of the classical reflection equation…Honglei Lang, Yunhe Sheng·Jun 25, 2025SaveLearn
A Family of Berndt-Type Integrals and Associated Barnes Multiple Zeta FunctionsIn this paper, we focus on calculating a specific class of Berndt integrals, which exclusively involves (hyperbolic) cosine functions. Initially, this integral is transformed into a Ramanujan-type…Xinyue Gu, Ce Xu, Jianing Zhou·Jun 25, 2025SaveLearn
Exceptional points and defective resonances in an acoustic scattering system with sound-hard obstaclesThis paper is concerned with non-Hermitian degeneracy and exceptional points associated with resonances in an acoustic scattering problem with sound-hard obstacles. The aim is to find non-Hermitian…Kei Matsushima, Takayuki Yamada·Jun 24, 2025SaveLearn
Spectrum of the Laplacian in waveguide shaped surfacesLet - S be the Laplace operator in S ⊂ R3 on a waveguide shaped surfaces, i.e., S is built by translating a closed curve in a constant direction along…Diana C. S. Bello·Jun 23, 2025SaveLearn
General theory of perturbation of infinite resistor networksThe effective resistance between any two nodes in a perturbed resistor network is determined by removing multiple bonds from an infinite resistor lattice. We have developed an efficient method for…József Cserti, Gyula Dávid·Jun 23, 2025SaveLearn
Improved geometric and recollision estimates for the invariance principle of the random Lorentz gasBy improving geometric recollision estimates for a random Lorentz gas, we extend the timescale T(r) of the invariance principle for a Lorentz gas with particle size r obtained by Lutsko and Toth…Karsten Matthies, Raphael Winter·Jun 23, 2025SaveLearn