Study of Duffing oscillator using an improved Lindstedt Poincare method and relevant comparisonsThe undamped Duffing oscillator is a nonlinear dynamical system with broad applications in physics, engineering and biological system. We present a comprehensive analysis of this system using the…Ramij Ahamed, Subhankar Ray·Jul 16, 2026SaveLearn
Quasi-Pfaffian Solutions to Integrable Systems via Sylvester-Moutard TransformationsIn this paper, we introduce a mathematical structure called the quasiPfaffian. The quasiPfaffian is analogous to the quasideterminant, a structure used instead of a determinant in noncommutative…Claire R Gilson, Chen Shu·Jul 16, 2026SaveLearn
A C++ implementation of the G-Scheme stiff ODE solver with multi-resolution sparse hash-table kernel lookupThe G-Scheme is an explicit, adaptive integration framework for stiff systems of ordinary differential equations that exploits a local time-scale decomposition provided by the eigensystem of the…Riccardo Malpica Galassi, Mauro Valorani·Jul 16, 2026SaveLearn
Polar Form of the Dirac Operator in Low-Dimensional Space-TimesWe express in polar form the Dirac operator as left-multiplication by an assigned matrix: we use this technique to find its right-resolvent for low-dimensional spaces.Luca Fabbri, Giuseppe De Maria·Jul 16, 2026SaveLearn
PBW bases and centralisers for the q-Onsager algebraWe prove that, over an arbitrary field and whenever q is not a root of unity, the Baseilhac--Kolb root vectors form a PBW basis of the q-Onsager algebra for every total order on the positive…Haoran Zhu·Jul 16, 2026SaveLearn
Entanglement entropy of ground states of the Landau Hamiltonian on the half-planeWe study the entanglement entropy of ground states of a Hamiltonian defined on a domain with a boundary. Surprisingly, boundary conditions can change the spectrum and the nature of the spectrum…Paul Pfeiffer, Wolfgang Spitzer·Jul 16, 2026SaveLearn
Minimum Virtual Proper Time and Finite Mass--Charge Matching in QEDWe formulate a finite-proper-time version of QED defined by a gauge-covariant generating functional in which every complete internal virtual history carries a physical lower endpoint s0=Λ-2…Mustafa Bakr·Jul 16, 2026SaveLearn
Continuation of Hamiltonian dynamics from the plane to constant-curvature surfacesWe investigate the deformation of symmetry on cotangent bundles from the Euclidean plane to two-dimensional constant-curvature surfaces and the continuation of local dynamics aspects in Hamiltonian…Cristina Stoica·Jul 16, 2026SaveLearn
Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser caseWe determine the complete structure of the symmetry algebras associated with the N-body Calogero-Moser system and its maximally superintegrable discretization. We prove that the discretization…Pavel Drozdov, Giorgio Gubbiotti, Danilo Latini·Jul 16, 2026SaveLearn
Strong Spatial Mixing for General 2-Spin Systems: A Unified Approach from Zero-FreenessWe study the algorithmic implications of zero-free regions for the partition functions of 2-spin systems. While Barvinok's algorithm yields FPTASes in such regions, the applicability of…Shuai Shao, Xiaowei Ye·Jul 16, 2026SaveLearn
A novel class of functionals for perturbative algebraic quantum field theoryPerturbative Algebraic Quantum Field Theory (pAQFT) is based upon formal power series valued in spaces of functionals. This is usually done with microcausal functionals, which are defined using…Eli Hawkins, Kasia Rejzner, Berend Visser·Jul 16, 2026SaveLearn
Analysis of series expansions for non-algebraic singularitiesExisting methods of series analysis are largely designed to analyse the structure of algebraic singularities. Functions with such singularities have their nth coefficient behaving asymptotically…Anthony J Guttmann·Jul 16, 2026SaveLearn
On Factorizing Aggregate Counting Distributions into Independent Latent ProcessesGiven only the probability distribution of an aggregate counting variable, what independent latent counting processes are compatible with the observation? Equivalently, when does a…Israel Klich·Jul 15, 2026SaveLearn
Quantum Markov Chains for an Asymmetric Mixed Ising-XY Model on a Cayley TreeWe study a mixed quantum Ising-XY model on the semi-infinite rooted Cayley tree of order two. For every vertex u, the edge u,(u,1) carries an XY interaction and the edge…Farrukh Mukhamedov·Jul 15, 2026SaveLearn
Real Fluid Quasi-Conservative Method: Mechanical Equilibrium Mechanism and Liquid-Upwind AnomalyFrom the perspective of continuum thermodynamics, we revisit the pressure oscillation problem in finite-volume methods for real fluids and clarify the physical counterpart of the Real Fluid…Bai Haotong, Yang Yixin, Xie Wenjia et al.·Jul 15, 2026SaveLearn
Log-Sobolev inequalities for boundary-driven anharmonic chainsWe study the non-equilibrium steady state of a weakly anharmonic chain of N oscillators driven at its boundary by Langevin thermostats at unequal temperatures. Under a perturbative…Jianfeng Lu·Jul 15, 2026SaveLearn
A Geometric Derivation of the Einstein Equations from the Causal Action PrincipleThe causal action principle for causal fermion systems is analyzed for a minimizing measure whose support is assumed to have the structure of a smooth manifold M. The concept of osculating…Felix Finster, Christoph Krpoun·Jul 15, 2026SaveLearn
Perturbative algebraic quantum field theory with smoothened boundaryWe formulate quantisation of gauge field theories on globally hyperbolic Lorentzian manifolds with marked hypersurfaces within the framework of perturbative algebraic quantum field theory (pAQFT)…Kasia Rejzner, Michele Schiavina·Jul 15, 2026SaveLearn
Spectral Analysis and Liouville-Green Asymptotics for a Radial Sturm-Liouville Operator with Variable CoefficientsWe investigate a radially symmetric initial-boundary value problem whose separation of variables leads to a regular self-adjoint Sturm-Liouville problem with explicitly determined coefficients and a…Victor S. Gerasimchuk, Bohdan O. Yevdokymenko, Igor V. Gerasimchuk·Jul 15, 2026SaveLearn
CORTET: Robust generation of simulation-ready tetrahedral meshes of the fetal cerebral cortexEvery human brain folds differently, and such natural variation confounds the search for imaging biomarkers of neurodevelopmental disorders. Physics-based simulation can help determine the causal…Davood Shahsavari, Irina Grigorescu, Katherine R. Long et al.·Jul 15, 2026SaveLearn
State integral models and the tetrahedron equationIt is shown that for a class of state integral models on shaped pseudo 3-manifolds, including the edge formulation of Teichmüller TQFT, the Boltzmann weight assigned to a tetrahedron solves the…Junya Yagi·Jul 15, 2026SaveLearn
The HOMFLY-PT polynomial and HZ factorisationThe Harer-Zagier (HZ) transform maps the HOMFLY-PT polynomial into a rational function. For some special knots and links, the latter admits a simple factorised form, which is referred to as HZ…Andreani Petrou, Shinobu Hikami·Jul 15, 2026SaveLearn
Weak topological phases in the presence of interactionsWe study weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions. By comparing homotopical free and interacting classifications of these SPTs, we predict their…Omar Antolín Camarena, Arun Debray, Cameron Krulewski et al.·Jul 15, 2026SaveLearn
Boundary Thermalization in Superdiffusive Energy TransportWe study energy transport in a finite one-dimensional unpinned harmonic chain with stochastic nearest-neighbor momentum exchanges and Langevin heat baths at its endpoints. Such systems are known to…Tomasz Komorowski, Stefano Olla·Jul 14, 2026SaveLearn
A canonical two-scale Sonine fractional calculus induced by the Tricomi functionWe introduce a Tricomi-type generalized fractional calculus in the Sonine kernel framework. The key result is that the Tricomi branch is a Stieltjes function in the admissible parameter range, so its…Ivano Colombaro, Marc Tudela-Pi·Jul 14, 2026SaveLearn