Odd elasticity in a three-link microswimmer: feedback equivalence, global controllability, and the cost of non-reciprocityWe study a Purcell three-link microswimmer whose joints are odd-elastic: the torsional stiffness is non-Hermitian, its antisymmetric part ko injecting mechanical work so that the internal…Rossella Attanasi, Gaetano Napoli, Marta Zoppello·Aug 3, 2026SaveLearn
Discrete Unique Continuation on SimplexFor integers N0 and n2, let \[ ΔN(n) =\α∈ Z 0n: α1+·s+αn=N\. \] We formulate a discrete unique-continuation problem on this lattice simplex. Given an…Linjun Li·Aug 3, 2026SaveLearn
The q-extension of iterated integrals and nested sums in quantum field theoryAnalytic calculations of zero- and single-scale quantities in perturbative quantum field theory result into special numbers and functions, the first of which have been revealed during the last…J. Blümlein, A. M. Gavrilik, O. Mykhailiv et al.·Aug 3, 2026SaveLearn
On the local conformal structure of Imaginary Liouville theoryImaginary Liouville theory was recently proposed as a path integral construction of a non-rational conformal field theory (CFT) with central charge less than one (Usciati et al. 2026). In the present…Baptiste Cerclé, Romain Usciati·Aug 3, 2026SaveLearn
q-Deformed Topological Recursion: Quantum Curves and Non-perturbative AnalysisThis work investigates the q-deformation of (r,s)-Airy structures and their realization via q-difference operators, providing a bridge between quantum spectral curves and integrable systems. We…Fridolin Melong, Raimar Wulkenhaar·Aug 3, 2026SaveLearn
Quantum Vortices in a Boundary Layer: New Results and PerspectivesHere, we investigate the motion of a thin circular quantum vortex filament near the infinite planar surface. The fluid surrounding this surface moves with a non-zero velocity v, which is…Sergei V. Talalov·Aug 3, 2026SaveLearn
A Hamiltonian approach to the CH-KP equationA model governing quasi-unidirectional wave propagation at the surface of a shallow layer of water is derived from Euler equations by long wave asymptotics together with Hamiltonian reduction…R. Camassa, G. Falqui, E. Sforza·Aug 3, 2026SaveLearn
Geometric theory of generalised continua using moving framesGeneralised continuum theories couple the macroscopic deformation and the micro-/meso-scopic deformation of an underlying micro-structure. They can account for internal length-scale effects and…Boris Kolev, Cl{é}ment Ecker·Aug 3, 2026SaveLearn
Collective superintegrable systems from the Guillemin--Sternberg torus actionWe present a novel approach to the superintegrability of collective Hamiltonians invariant under a Hamiltonian action of a connected semisimple compact Lie group, G, on a symplectic manifold, M.…L. Feher·Aug 3, 2026SaveLearn
Beyond K-Theory: Geometry and Holomorphy in Hyperbolic Band TheoryTopological K-theory supplies the decisive stable classification principle for gapped free-fermion phases in Euclidean crystals once symmetry and stabilization are fixed. In hyperbolic band theory,…Steven Rayan·Aug 3, 2026SaveLearn
The spectral edge of the quartic SYK modelWe consider the Sachdev--Ye--Kitaev model of N Majorana fermions with random q-body interactions. For q=4, we show that as N ∞ through even integers, the largest eigenvalue of the…Yukun He·Aug 3, 2026SaveLearn
Frame Degeneracy and Sine-Quadrature Residuals in Lunar Tidal ModelingThe dominant Earth-Moon tide is accurately described by the Newtonian quadrupolar tidal tensor and by standard terrestrial tide modeling. In a local principal frame aligned with the Earth-Moon…Muhittin Cenk Eser·Aug 3, 2026SaveLearn
Two-layer sharply stratified Euler fluids in three dimensions: a Hamiltonian settingThree-dimensional two-layer incompressible Euler fluids are studied from a Hamiltonian perspective. A natural Hamiltonian structure for the effective 2D model described by the interface-value of the…R. Camassa, G. Falqui, G. Ortenzi et al.·Aug 3, 2026SaveLearn
Three topological phases of the elliptic Ginibre ensembles with a point chargeWe consider the complex and symplectic elliptic Ginibre matrices of size (c+1)N × (c+1)N, conditioned to have a deterministic eigenvalue at p ∈ R with multiplicity c N . We…Sung-Soo Byun, Eui Yoo·Aug 3, 2026SaveLearn
Dual Variational Principles for Curl ForcesCurl forces are position-dependent, non-conservative, and non-dissipative forces that, in general, cannot be derived from an ordinary potential energy. Consequently, their equations of motion do not,…Arash Yavari, Amit Acharya·Aug 2, 2026SaveLearn
Connes spectral distance on twisted fuzzy torusIn this paper, we study the Connes spectral distance between states on the fuzzy torus. We construct a Dirac operator by commutators and anticommutators. Based on this Dirac operator, we construct a…Zhi-Kang You, Bing-Sheng Lin·Aug 2, 2026SaveLearn
Analysis of Conjectural Improvements to Minkowski's Lower Bound on the Sphere Packing DensityTorquato and Stillinger conjectured an exponential improvement of Minkowski's classical lower bound on the maximal density of sphere packings in high-dimensional Euclidean space Rd…Carlo Vanoni, Alan Guo, Salvatore Torquato·Aug 2, 2026SaveLearn
Generalized Marginals of tie -Wigner Distribution nand Lagrangian TomographyWe develop a symplectic formulation of the Lagrangian Radon transform based on the transitive action of the symplectic group on the Lagrangian Grassmannian. This geometric framework naturally extends…Maurice de Gosson·Aug 1, 2026SaveLearn
Remarks on Regular Approximations to the Robin Aharonov-Bohm HamiltonianIn the space R3, for Robin parameter L>0, it is shown that there is a family of Schrödinger operators with penetrable toroidal solenoid and variable conductivity that approximates the…Cesar R. de Oliveira·Aug 1, 2026SaveLearn
The reduced Dirac structure of General Relativity on manifolds with cornersIn this paper, the corner Poisson structure of four-dimensional Palatini-Cartan gravity is derived. Building on the classical description of gravity on manifolds with boundary, specifically on the…Alberto S. Cattaneo, Filippo Fila-Robattino, Manuel Tecchiolli·Aug 1, 2026SaveLearn
Probability, Curvature and Spectrum on GraphsWe show that, for a metric graph equipped with the Laplacian operator Δ=-d2dx2, the graph trace formula admits a new interpretation in terms of quantum probability and curvature. Our…Tianhong Zhao·Aug 1, 2026SaveLearn
Finite-difference zeta readout of one-loop operator spectraFor a positive elliptic operator A, the logarithmic zeta determinant ζA=-ζA'(0) combines UV information encoded by local heat-kernel coefficients with finite contributions…Keisuke Okamura·Aug 1, 2026SaveLearn
Perturbative anomalies in quantum mechanicsIn this work, we propose a cohomological approach to studying perturbative anomalies in quantum mechanics. The Hamiltonian H together with the symmetry generator S forms a unitary…Maxim Gritskov, Andrey Losev, Saveliy Timchenko·Aug 1, 2026SaveLearn
Finite-Time Transition to Intermittency for a Stochastic Heat Equation Driven by the Square of a Gaussian FieldIn this paper, we study the spatial behavior of the solution ψ(x,t) to the stochastic heat equation ∂tψ(x,t)-12∂2x2 ψ(x,t)=g\, S(x,t)2\, ψ(x,t), with 0 t T,…Philippe Mounaix·Aug 1, 2026SaveLearn
Spectral Analysis of a Soft Quantum Waveguide Coupled to a Massive Quantum Scalar FieldWe study a Nelson-type Hamiltonian describing a massive spinless non-relativistic particle moving in a planar soft quantum waveguide and linearly coupled to a massive scalar bosonic field. Our…Benjamin Alvarez, Hugo Gouttenegre·Jul 31, 2026SaveLearn