Quantum Dynamics: A Dilation-Based ApproachIn the study of open quantum systems, one commonly describes the evolution of a system of interest through reduced dynamics, obtained by treating the environment indirectly rather than as a part of…Caleb A. Mickelson·Apr 30, 2026SaveLearn
Constrained Symplectic and Contact Hamiltonian Systems: A ReviewSingular theories, characterised by the presence of degeneracies in their Lagrangian or Hamiltonian descriptions, require the systematic implementation of constraints in order to obtain well-defined…Callum Bell, David Sloan·Apr 30, 2026SaveLearn
Hypergeometric Functions of Nilpotent Operators: Functional Collapse and Structural Depth at Exceptional PointsWe study hypergeometric functions of nilpotent operators in finite-dimensional settings, motivated by the algebraic structure of exceptional points in non-Hermitian quantum mechanics. Our starting…Ramon Moya·Apr 30, 2026SaveLearn
Hamilton--Jacobi theory for non-conservative field theories in the k-contact frameworkThis article develops a Hamilton--Jacobi theory for non-conservative classical field theories, with particular emphasis on dissipative systems, in the framework of co-oriented k-contact geometry. We…Javier de Lucas, Julia Lange, Xavier Rivas et al.·Apr 30, 2026SaveLearn
Conditioning the tanh-drift process on first-passage times: Exact drifts, bridges, and process equivalencesIn this article, we consider the Benes process with drift μ(x)=α(αx + β), with α> 0, β∈ R, that is, the diffusion defined by the stochastic differential equation…Kacim François-Élie, Alain Mazzolo·Apr 30, 2026SaveLearn
Dynamical delocalization in disordered 2D Chern insulatorsWe show the existence of energies exhibiting dynamical delocalization in discrete 2D Chern insulators perturbed by a random potential in a general setting. Our proof exploits two main features of the…Gianluca Panati, Constanza Rojas-Molina, Vincenzo Rossi·Apr 29, 2026SaveLearn
On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge FixingThis thesis is devoted to the study of hyperbolic differential operators on globally hyperbolic manifolds, linear gauge theories and their quantisation. In the first part, we treat the Cauchy problem…Gabriel Schmid·Apr 29, 2026SaveLearn
Remarks on pairwise comparisons, transition amplitudes, and qubit statesWe discuss a pairwise-comparison viewpoint on finite families of qubit states. Starting from transition amplitudes between pure states, we distinguish three associated levels of comparison data:…Jean-Pierre Magnot·Apr 29, 2026SaveLearn
On enumeration of b-angulations of surfaces from an integrability perspectiveIn this paper, we study generating series enumerating polygonal angulations of closed oriented surfaces of fixed genus, focusing on b-angulations with b = 3 or b = 2, ≥ 2. Based on…Elba Garcia-Failde, Jianghao Xu, Di Yang et al.·Apr 29, 2026SaveLearn
Combinatorics and asymptotic behavior for double Hurwitz numbersPolynomial-in-time algorithms for computing classical Hurwitz numbers were given in [4] based on the Pandharipande equation. The paritition function of double Hurwitz numbers was proved [21] to…Xiang Li·Apr 29, 2026SaveLearn
Rigged Liouville space formulation for quasi-Hermitian Liouville operatorsWe discuss a super bra-ket formalism for quasi-Hermitian Liouvillian operators within the framework of rigged Hilbert spaces (RHS). An RHS in terms of the Liouville space, referred to as a rigged…Shousuke Ohmori, Junichi Takahashi·Apr 29, 2026SaveLearn
The dynamical algebra of the generic superintegrable model on the two-sphereThe rank two Jacobi algebra J2 is identified as the dynamical algebra of the generic quadratic superintegrable model on the two-sphere. The physical representation of this algebra is…Nicolas Crampé, Quentin Labriet, Lucia Morey et al.·Apr 28, 2026SaveLearn
Level Crossing in Random Matrices. III. Analogs of Girko's circular and Wigner's semicircle lawsWe study the asymptotic distribution of level crossings for random matrix pencils An+λBn in several ensembles, including complex and real i.i.d. matrices and Gaussian/Hermitian settings. We derive…B. Shapiro·Apr 28, 2026SaveLearn
Derivations on the triplet W-algebras with sl2-symmetryWe construct derivations on the triplet W-algebras Wp+,p- by refining the Frobenius homomorphisms of Tsuchiya-Wood and show that the property of the Adamovi\'c-Milas derivation…Hiromu Nakano·Apr 28, 2026SaveLearn
Long-time asymptotics of the Newell equation on the lineIn 1978, A. C. Newell [SIAM J. Appl. Math. 35(4) (1978) 650-664] proposed an exactly solvable model called Newell equation, which simulates the investigation of significant interaction mechanism…Deng-Shan Wang, Yingmin Yang·Apr 28, 2026SaveLearn
Griffiths inequalities and Gibbs-Bogoliubov inequality for general gauge glasses with Gaussian disorder on Nishimori lineWe consider a class of gauge glass models with Gaussian disorder on the Nishimori line, including the Ising spin glass, the XY gauge glass, the Zq gauge glass, and the gauge-invariant Potts…Manaka Okuyama, Masayuki Ohzeki·Apr 28, 2026SaveLearn
On phase retrieval for continuous and discrete Fourier transformsWe continue studies on phase retrieval for continuous and discrete Fourier transforms in multidimensions. Using finite difference operators, we give a large class of unexpected examples of…Roman Novikov, Tianli Xu·Apr 28, 2026SaveLearn
Geometry of Logarithmic Topological Recursion: Dilaton Equations, Free Energies and Variational FormulasOne of the most important applications of topological recursion concerns spectral curves for which the functions (x,y) defining the spectral curve are allowed to have logarithmic singularities.…Alexander Hock, Olivier Marchal, Nicolas Orantin·Apr 28, 2026SaveLearn
The SK model with a sparse variance profile: free energy and AMP algorithm for TAP equations at high temperatureA generalization of the Sherrington-Kirkpatrick (SK) model for spin glasses is considered, in which the interaction matrix is endowed with a variance profile that has no particular structure an may…Walid Hachem·Apr 28, 2026SaveLearn
Gegenbauer polynomials and fluctuation properties of the one-dimensional Riesz gasThe Riesz gas in one-dimension consists of particles interacting via a pair potential, sgn(s) |x - x'|-s, s 0 and - | x - x'| for s=0. In the infinite density limit, with the…Peter J. Forrester·Apr 28, 2026SaveLearn
Lie symmetry classification and invariant solutions of time-fractional telegraph systems with variable coefficientsTime-fractional telegraph equations provide fundamental mathematical models for transport processes that exhibit memory and nonlocal effects in industrial and physical systems. These models arise…Sodbaatar Adiya, Khongorzul Dorjgotov, Bayarmagnai Gombodorj et al.·Apr 28, 2026SaveLearn
Invariant Measures in Hamiltonian Systems: The Analytical Foundations of Statistical PhysicsWe construct a measure in the hamiltonian function level sets that is invariant under the hamiltonian flow for short times and flow preserving for arbitrarily long times. This allows a probabilistic…Luis A. Cedeño-Pérez, Alexis E. López-Velázquez·Apr 27, 2026SaveLearn
Prefactorization algebras of superselection sectorsThis paper revisits the theory of superselection sectors in algebraic quantum field theory from the modern perspective of prefactorization algebras. Under the standard assumptions of Haag duality and…Marco Benini, Victor Carmona, Alexander Schenkel·Apr 27, 2026SaveLearn
The Classification of Pauli Stabilizer Codes: A Lattice and Continuum TreatiseWe classify mobile Pauli stabilizer codes up to gapped interfaces and coarse-graining using the framework of algebraic L-theory. We compare this classification with that of framed TQFTs,…Bowen Yang, Matthew Yu·Apr 27, 2026SaveLearn
Torus one-point functions in critical loop modelsWe show that in critical loop models, torus 1-point functions can be expressed in terms of sphere 4-point functions at a different central charge. Unlike in the Moore--Seiberg formalism, crossing…Paul Roux, Sylvain Ribault, Jesper Lykke Jacobsen·Apr 27, 2026SaveLearn