Lie symmetry analysis and similarity reductions for the tempered-fractional Keller Segel systemWe perform a Lie symmetry analysis on the tempered-fractional Keller Segel (TFKS) system, a chemo-taxis model incorporating anomalous diffusion. A novel approach is used to handle the nonlocal nature…Ghorbanali Haghighatdoost, Mustafa Bazghandi·Sep 15, 2025SaveLearn
A dynamical approach to studying the Lee-Yang zeros for the Potts Model on the Cayley TreeLet Zn(z,t) denote the partition function of the q-state Potts Model on the rooted binary Cayley tree of depth~n. Here, z = e-h/T and t = e-J/T with h denoting an…Diyath Pannipitiya, Roland Roeder·Sep 15, 2025SaveLearn
Blowup relations and q-Painlevé VIWe propose and study blowup relations obeyed by the partition functions of 5d N=1 (quiver) SYM theories with SU(2) gauge group and four flavours. By analyzing the Weyl group action on…Artem Stoyan·Sep 13, 2025SaveLearn
Geometric Phase of Stochastic OscillatorsSeveral definitions of phase have been proposed for stochastic oscillators, among which the mean-return-time phase and the stochastic asymptotic phase have drawn particular attention. Quantitative…Yangyang Du·Sep 13, 2025SaveLearn
Witt Groups and Bulk-Boundary Correspondence for Stabilizer StatesWe establish a bulk--boundary correspondence for translation-invariant stabilizer states in arbitrary spatial dimension, formulated in the framework of modules over Laurent polynomial rings. To each…Błażej Ruba, Bowen Yang·Sep 12, 2025SaveLearn
Towards a category-theoretic foundation of Classical and Quantum Information GeometryWe introduce the category NCP, whose objects are pairs of W-algebras and normal states and whose morphisms are state-preserving unital completely positive (CPU) maps, as a common…Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo·Sep 12, 2025SaveLearn
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operatorThis paper focuses on the fractal characteristics of the absolutely continuous spectral measure of the subcritical almost Mathieu operator (AMO) and Diophantine frequency. In particular, we give a…Jie Cao, Xianzhe Li, Baowei Wang et al.·Sep 12, 2025SaveLearn
Multipole and Berezinskii-Kosterlitz-Thouless Transitions in the Two-component PlasmaWe study the two-dimensional two-component Coulomb gas in the canonical ensemble and at inverse temperature β>2. In this regime, the partition function diverges and the interaction needs to be…Jeanne Boursier, Sylvia Serfaty·Sep 11, 2025SaveLearn
The open XXZ chain at =-1/2 and totally-symmetric alternating sign matricesThe open XXZ spin chain with the anisotropy parameter =-12, diagonal boundary fields that depend on a parameter x, and finite length N is studied. In a natural normalisation, the…Jean Liénardy, Christian Walmsley Hagendorf·Sep 11, 2025SaveLearn
Permutation-Based Distances for Groups and Group-Valued Time SeriesPermutations on a set, endowed with function composition, build a group called a symmetric group. In addition to their algebraic structure, symmetric groups have two metrics that are of particular…José M. Amigó, Roberto Dale·Sep 11, 2025SaveLearn
Electronic structure models with 2D symmetries in the presence of magnetic fieldsIn this work, we characterize self-adjoint operators that commute with magnetic translations. We use this characterization to derive effective kinetic energy functionals for homogeneous electron…Carlos J. Garcia-Cervera, Salma Lahbabi, Abdallah Maichine·Sep 10, 2025SaveLearn
Reeh-Schlieder approximation for coherent statesWe present an explicit, fully local Reeh-Schlieder approximation scheme for coherent states of a free scalar field. For any bounded region U, we construct a one-parameter family of…Riccardo Falcone, Claudio Conti·Sep 10, 2025SaveLearn
Design-GenNO: A Physics-Informed Generative Model with Neural Operators for Inverse Microstructure DesignInverse microstructure design plays a central role in materials discovery, yet remains challenging due to the complexity of structure-property linkages and the scarcity of labeled training data. We…Yaohua Zang, Phaedon-Stelios Koutsourelakis·Sep 10, 2025SaveLearn
Large scale dynamical response of interacting 1d Fermi systemsWe consider the dynamics of a class of weakly interacting, gapless 1d fermionic systems, in presence of small external perturbations slowly varying in space and in time. We consider the evolution…Marcello Porta, Giuseppe Scola, Harman Preet Singh·Sep 10, 2025SaveLearn
In search of constitutive conditions in isotropic hyperelasticity: polyconvexity versus true-stress-true-strain monotonicityThe polyconvexity of a strain-energy function is nowadays increasingly presented as the ultimate material stability condition for an idealized elastic response. While the mathematical merits of…Maximilian P. Wollner, Gerhard A. Holzapfel, Patrizio Neff·Sep 10, 2025SaveLearn
Upper block triangular form for the Laplace-Beltrami operator on the special orthogonal group acquired through a flag of trace polynomials spacesThe Laplacian of a general trace polynomial function defined on the special orthogonal group SO(N) is explicitly computed. An invariant flag of spaces generated by trace polynomials is constructed.…Petre Birtea, Ioan Casu, Dan Comanescu·Sep 10, 2025SaveLearn
Spectral Broadening of Landau Levels by a Penetrable Circular WallWe study the two--dimensional magnetic Schr\"odinger operator with a penetrable circular wall modeled by a δ--interaction. Using the boundary triple approach we classify all self--adjoint…Masahiro Kaminaga·Sep 10, 2025SaveLearn
Dynamical Quantum MultigraphsMotivated by applications in background-independent quantum gravity, we discuss the quantization of labeled and unlabeled finite multigraphs with a maximum edge count. We provide a unified way to…Kassahun H. Betre, Nathan Lewis·Sep 10, 2025SaveLearn
An integrable Anderson-impurity problem embedded in the one-dimensional Hubbard modelAn exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method. The model is…Renjie Song, Mingchen Zheng, Junpeng Cao et al.·Sep 9, 2025SaveLearn
Quasicoherent states of noncommutative D2-branes, Aharonov-Bohm effect and quantum Mobius stripWe find an analytical formula for the quasicoherent states of 3D fuzzy spaces defined by algebras generated by bosonic creation and annihilation operators. This one is expressed in a representation…David Viennot·Sep 9, 2025SaveLearn
Unified Lorentz-covariant Poisson Bracket for the Electrodynamics of a Point ParticleUsing the multisymplectic Hamiltonian formalism, we propose a Poisson bracket for the electromagnetic field that, in addition to satisfying the restricted principle of relativity, reproduces…José Francisco Pérez-Barragán·Sep 9, 2025SaveLearn
Port-Hamiltonian Neural Networks: From Theory to Simulation of Interconnected Stochastic SystemsThis work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of…Luca Di Persio, Matthias Ehrhardt, Youness Outaleb et al.·Sep 8, 2025SaveLearn
q-Cosymplectic Geometry, Integrability and ReductionIn the present paper, we define the concept of a \( q \)-cosymplectic manifold, on which we study the Hamiltonian, gradient, local gradient, and \( q \)-evolution vector fields. Several…Melvin Leok, Cristina Sardón, Xuefeng Zhao·Sep 7, 2025SaveLearn
Quantization of bounded symplectic domains associated with compact Lie groupsWe present a systematic quantization scheme for bounded symplectic domains of the form D × G ⊂ T G, where D ⊂ g is a bounded region defined by algebraic…Alexey A. Sharapov·Sep 7, 2025SaveLearn
Unitary equivalence in Generalized Uncertainty Principle theoriesWe analyze the issue of unitary equivalence within Generalized Uncertainty Principle (GUP) theories in the one-dimensional case. For a deformed Heisenberg algebra, its representation in terms of…Sebastiano Segreto, Matteo Bruno·Sep 5, 2025SaveLearn