On Modeling and Solving the Boltzmann EquationThe Boltzmann equation has been a driving force behind significant mathematical research over the years. Its challenging theoretical complexity, combined with a wide variety of current scientific and…Liliane Basso Barichello·Aug 17, 2025SaveLearn
Complex rational Ruijsenaars model. The two-particle caseWe consider a complex rational degeneration of the hyperbolic Ruijsenaars model emerging in the limit ω1+ω2 0 (or b in 2d CFT) and investigate in detail the…N. M. Belousov, G. A. Sarkissian, V. P. Spiridonov·Aug 17, 2025SaveLearn
Generalized Clapeyron's theoremClapeyron's Theorem in classical linear elasticity provides a way to explicitly express the energy stored in an equilibrium configuration in terms of the work of the forces applied on the boundary.…Yury Grabovsky, Lev Truskinovsky·Aug 17, 2025SaveLearn
Antiferromagnetic Long-Range Order in a Lattice Fermion ModelWe study a lattice fermion model with antiferromagnetic interactions on the three-dimensional cubic lattice. The hopping term of the Hamiltonian has a Weyl-type dispersion. We prove that the model…Yukimi Goto, Tohru Koma·Aug 17, 2025SaveLearn
A Multi-Body Dobrushin-Sokal Criterion -- Part IWe derive a sufficient condition for zero-freeness of partition functions applicable to lattice gases with possibly complex-valued multi-body interactions. This includes the case of hard-core…Jan Philipp Neumann·Aug 16, 2025SaveLearn
Geometric Quantization by Paths -- Part I: The Simply Connected CaseFor any connected and simply connected parasymplectic space (X,ω) with group of periods Pω ⊂neq R, we construct a prequantum groupoid…Patrick Iglesias-Zemmour·Aug 15, 2025SaveLearn
Uniqueness of Inverse Spectral Problem of Non-Local Sturm-Liouville Operators on Star GraphIn this paper, we explore the inverse spectral problem of Sturm-Liouville operator on a star-like graph. To this fixed star-like graph centered at the origin as its vertex, we attach m edges. On…Lung-Hui Chen·Aug 14, 2025SaveLearn
Plancherel-P\'olya's Type of Instability in Vibration System with Multiple Frozen ArgumentsWe discuss the problem of the inverse spectral problem of Sturm-Liouville operator with multiple frozen arguments at \a1, a2,…,aN\ in (0,π). One may consider the characteristic…Lung-Hui Chen, Chung-Tsun Shieh·Aug 14, 2025SaveLearn
A Kinetic Theory Approach to Ordered FluidsWe develop a unified kinetic theory for ordered fluids, which systematically extends the phase space with the appropriate generalized angular momenta. Our theory yields a uniquely determined…José A. Carrillo, Patrick E. Farrell, Andrea Medaglia et al.·Aug 14, 2025SaveLearn
Global dynamical stability for KMS-statesThe Hugenholz-Boltzmann-evolution is generalized to strongly interacting systems on the lattice. Under appropriate assumptions states stable under this evolution are shown to satify the…Heide Narnhofer·Aug 14, 2025SaveLearn
Improper currents in theories with local invarianceWe present a proof that the currents arising from Noether's first theorem in a physical theory with local invariance can always be decomposed into two terms, one of them vanishing on-shell, and the…Nuno Barros e Sá·Aug 14, 2025SaveLearn
Confluent hypergeometric kernel determinant on multiple large intervalsThe confluent hypergeometric point process represents a universality class which arises in a variety of different but related areas. It particularly describes the local statistics of eigenvalues in…Taiyang Xu, Lun Zhang, Zhengyang Zhao·Aug 14, 2025SaveLearn
Universal Deformations in Compressible Isotropic Cauchy Elastic Solids with Residual StressWe investigate universal deformations in compressible isotropic Cauchy elastic solids with residual stress, without assuming any specific source for the residual stress. We show that universal…Arash Yavari, José Merodio, Mohd H. B. M. Shariff·Aug 13, 2025SaveLearn
Solutions And Gradient Of The Conformal Ricci Bourguignon Soliton On Vaidya SpacetimeIn this work, we derive the complete and explicit solution for the conformal Ricci-Bourguignon soliton on Vaidya spacetime. We provide the closed-form expression for the vector field and establish…Ayaan Abdur Rehman, Narayan S Iyer, Naeem Ahmed Pundeer·Aug 13, 2025SaveLearn
Joint Moments of Characteristic Polynomials from the Orthogonal and Unitary Symplectic GroupsWe establish asymptotic formulae for general joint moments of characteristic polynomials and their higher-order derivatives associated with matrices drawn randomly from the groups USp(2N)…Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating et al.·Aug 13, 2025SaveLearn
On Complex Dimensions and Heat Content of Self-Similar FractalsComplex fractal dimensions, defined as poles of appropriate fractal zeta functions, describe the geometric oscillations in fractal sets. In this work, we show that the same possible complex…William E. Hoffer, Michel L. Lapidus·Aug 13, 2025SaveLearn
Self-adjoint realizations of higher-order squeezing operatorsHigher-order squeezing captures non-Gaussian features of quantum light by probing moments of the field beyond the variance, and is associated with operators involving nonlinear combinations of…Felix Fischer, Daniel Burgarth, Davide Lonigro·Aug 13, 2025SaveLearn
Edge states in square lattice media and their deformationsEdge states are time-harmonic solutions of conservative wave systems which are plane wave-like parallel to and localized transverse to an interface between two bulk media. We study a class of 2D edge…Jonah Chaban, Jeremy L. Marzuola, Michael I. Weinstein·Aug 12, 2025SaveLearn
Oscillator Algebra in Complex Position-Dependent Mass SystemsThis work introduces non-Hermitian position-dependent mass Hamiltonians characterized by complex ladder operators and real, equidistant spectra. By imposing the Heisenberg-Weyl algebraic structure as…M. I. Estrada-Delgado, Z. Blanco-Garcia·Aug 12, 2025SaveLearn
Algebraic approach to a d-dimensional matrix Hamiltonian with so(d+1) symmetryA novel spin-extended so(d+1,1) algebra is introduced and shown to provide an interesting framework for discussing the properties of a d-dimensional matrix Hamiltonian with spin 1/2 and so(d+1)…Christiane Quesne·Aug 11, 2025SaveLearn
v-Representability on a one-dimensional torus at elevated temperaturesWe extend a previous result [Sutter et al., J. Phys. A: Math. Theor. 57, 475202 (2024)] to give an explicit form of the set of v-representable densities on the one-dimensional torus with any fixed…Sarina M. Sutter, Markus Penz, Michael Ruggenthaler et al.·Aug 11, 2025SaveLearn
The Spectral Renormalization Flow Based on the Smooth Feshbach--Schur Map: The Introduction of the Semi-Group PropertyThe spectral renormalization method is a powerful mathematical tool that is prominently used in spectral theory in the context of low-energy quantum field theory and its original introduction in [5,…Volker Bach, Miguel Ballesteros, Jakob Geisler·Aug 11, 2025SaveLearn
Adelic Models of PercolationModels of long range percolations on lattices and on hierarchical lattices are related through the use of three intermediate geometries: a 1-parameter deformation based on the power mean function,…Matilde Marcolli·Aug 11, 2025SaveLearn
Diffeology and Arithmetic of Irrational ToriThe irrational torus, Tα, originally introduced as a geometric model for quasicrystals, is a foundational object in the theory of diffeology. This paper, after recalling its main…Patrick Iglesias-Zemmour·Aug 10, 2025SaveLearn
Nonequilibrium steady state in Lindblad dynamics for infinite quantum spin systemsWe consider Lindblad dynamics of quantum spin systems on infinite lattices and define a nonequilibrium steady state (NESS) and a time-averaged nonequilibrium steady state (TANESS) on the basis of…Kenji Shimomura, Nagisa Hara, Seiichiro Kusuoka·Aug 10, 2025SaveLearn