Don't mind the gap: Absolutely Continuous Edge Spectrum in a Mobility GapWe study the edge spectrum of two-dimensional lattice Hamiltonians and magnetic Schrödinger operators in a mobility gap, an energy interval in which the bulk spectrum is potentially localized rather…Simon Becker, Mengxuan Yang·Sep 21, 2026SaveLearn
Constraints for Physical Gauge Groups Coming from the Causal Action PrincipleThe constraints for the effective local gauge groups stemming from the causal action principle for causal fermion systems are reviewed. The constraint which are quadratic in the gauge potentials…Felix Finster, Niels Gresnigt·Sep 21, 2026SaveLearn
Batalin-Vilkovisky algebras from Ševera bicomplexesA Ševera bicomplex is a bicomplex (M,d0,d1) whose differentials di are Grothendieck differential operators of order ≤ i with respect to a given A-module structure on M, where…Eugenia Boffo, Domenico Fiorenza·Sep 21, 2026SaveLearn
Proactive Incentive Regulation in Multi-Agent Systems with Environmental FeedbackIn environmental feedback systems, self-interested behaviors of rational agents often undermine cooperation and environmental sustainability. Although punitive incentive mechanisms are widely…Xinyang Cao, Shijia Hua, Linjie Liu·Sep 21, 2026SaveLearn
Payoffs and perception mediate environmental feedback in an N-player trust game with Q-learningTrust develops through learning, while collective behavior can alter the environment in which later decisions are made. Reinforcement-learning models describe adaptation, and eco-evolutionary models…Ruqiang Guo, Zhaoyi Hu, Fangfang Wang et al.·Sep 21, 2026SaveLearn
The Hadamard parametrix on globally hyperbolic spacetimes with Robin boundary conditions: Fundamental solutions and Hadamard statesOn a d-dimensional, d≥ 2, globally hyperbolic spacetime with a timelike boundary (M,g), we investigate the Klein-Gordon equation with Robin boundary conditions. First of all, we…Beatrice Costeri, Claudio Dappiaggi, Benito Alberto Juárez-Aubry·Sep 21, 2026SaveLearn
Recursive construction of spectral basis and its application to matricesWe prove a recursive formula for construction of generalized spectral basis. Example of application is presented for symbolic computation with non-diagonalizable matrix that describes electromagnetic…A. Acus, A. Dargys·Sep 21, 2026SaveLearn
Quantum modularity in refined topological recursionIn this paper we study the Borel summability and quantum modularity of the free energy computed by refined topological recursion on the Weber-type refined spectral curve. On the one hand, we verify…Veronica Fantini, Kento Osuga·Sep 20, 2026SaveLearn
Sum of Three Squares and Particle in a Cubic Box - DegeneraciesWe address the problem of determining the degeneracy of a particular energy eigenvalue corresponding to a quantum particle trapped in a cubic box. In other words, we aim to find the number of ways a…S. Pratik Khastgir·Sep 20, 2026SaveLearn
Local conservation laws and symmetries of three-dimensional incompressible Euler flowWe classify all smooth local conservation laws of three-dimensional homogeneous incompressible Euler flow in velocity and pressure, allowing explicit time and position and derivatives of arbitrary…Alexey Shevyakov·Sep 20, 2026SaveLearn
Resurgence and Complex Geodesics for the Heisenberg Heat KernelWe study complex geodesic actions and heat-kernel resurgence on isotropic Heisenberg groups. For real endpoints with r>0,y0, the nonzero finite singularities reached by analytic continuation of…Xinxing Tang·Sep 20, 2026SaveLearn
Routing and memory in the three-dimensional mirror model on K-latticeWe study numerical observables relevant to delocalization in the three-dimensional Manhattan mirror model, also known as the K-lattice. Our principal experiment separates the locations of…Jian Gu, Paul Schaeffer, Qin Hao·Sep 19, 2026SaveLearn
Six-wave scattering in Hamiltonian Dysthe equations: Euler matching and integrability obstructionsWe compute the effective six-wave interaction in spatial and temporal Hamiltonian Dysthe equations and compare it with the complete degree-six coefficient of the deep-water Euler Hamiltonian. On…Alex J. Sutherland, Solomon C. Yim·Sep 19, 2026SaveLearn
Long time stability of low--frequency packets of modes at finite total energyWe consider the FPUT α-model with N particles and initial data with small total energy E, independent of N. In particular, we prove that if the energy is initially given to Fourier modes of…Dario Bambusi, Antonio Ponno·Sep 19, 2026SaveLearn
Higher-order and non-geometric symmetries and Noether's theorem in k-cosymplectic Hamiltonian field theoryIn this paper, we investigate higher-order symmetries and non-geometric symmetries within the framework of k-cosymplectic Hamiltonian field theory. We introduce the concept of generalized…Manuel de León, Xuefeng Zhao·Sep 19, 2026SaveLearn
Holomorphic Conformal Cartan Geometry: Conformal Gravity, Twistors, and AmbitwistorsFour-dimensional conformal gravity, twistor theory, and ambitwistor theory are reviewed within the unified framework of holomorphic conformal Cartan geometry. Starting from the spinorial…Chen-Hsu Chien·Sep 19, 2026SaveLearn
Distributional Fractional Taylor Series and Interpretation of the Fractal and Number-Theoretic Explicit FormulasMotivated by the work of M. L. Lapidus and M. van Frankenhuisjen on fractal explicit formulas for generalized fractal strings, we develop in this paper a distributional fractal Taylor's formula…Michel L. Lapidus, Matthew Overduin·Sep 19, 2026SaveLearn
Quasi-exponentials and semi-classical limits for the chordal BPZ systemWe study the nonlinear Hamilton--Jacobi system arising as the formal semi-classical limit of the chordal Belavin--Polyakov--Zamolodchikov equations with a common eigenvalue parameter λ. We…Mo Chen, Hao Wu·Sep 18, 2026SaveLearn
Cohomology of psl(n|n) in trivial and in adjoint representationsWe compute the cohomology of the projective special linear Lie superalgebra psl(n|n) over a field of characteristic zero in trivial and in adjoint coefficients in full detail through its…Thiago Oliveira Ferreira·Sep 18, 2026SaveLearn
Generalized Hamiltonian formalism for spatially nonlocal nonlinear differential equationsIn this work, we develop a generalized Hamiltonian formalism for spatially nonlocal field theories whose Lagrangian densities depend explicitly on both the local field and its spatially reflected…Ali Pazarci, Nadir Ghazanfari, Ilmar Gahramanov·Sep 18, 2026SaveLearn
Entanglement-Inducing Quantum Markov ProcessesWe introduce a new model for a system of interacting bosons placed in an array of sites. At its core is a nonlinear, nonlocal evolution equation, which we have dubbed the Schrödinger-Dirichlet…J. Fransson, A. P. Sowa·Sep 18, 2026SaveLearn
Gradient nature of Laplacian growthFor a class of growth processes of Laplacian type in the plane, we suggest an interpretation as a ``gradient descent'' in the space of smooth closed curves. More precisely, we show that…A. Zabrodin·Sep 18, 2026SaveLearn
A Functorial Theory of Defects in Abelian Chern-Simons TheoryRecent work has constructed Abelian Chern-Simons theories as categorical TQFTs, allowing us to naturally incorporate categorical defects and construct defect extensions of Abelian Chern-Simons TQFTs.…Daniel Galviz·Sep 18, 2026SaveLearn
Disorder on the hyperbolic square lattice I: Anderson delocalization and absolutely continuous spectrumWe study the Anderson model on hyperbolic lattices. The graph is the Cartesian product of the Euclidean lattice with the regular hyperbolic square lattice having five squares at each vertex. We prove…Simon Becker, Izak Oltman·Sep 17, 2026SaveLearn
Phase transitions in non-Hermitian spherical integralsWe study the large-N asymptotics of a constrained spherical integral for non-Hermitian random matrices, in which the norms and mutual scalar product of two vectors are fixed. In the delocalized…Pierre Bousseyroux, Marc Potters·Sep 17, 2026SaveLearn