318 papers
The paper proposes PriorIDENT, a prior-informed weak-form sparse-regression framework that integrates compact physics priors into dictionary construction to robustly identify governing partial differential equations from noisy spatiotemporal data while outperforming existing baselines in accuracy and stability.
This paper revisits the Friedrichs model to derive precise asymptotic results, including the Breit-Wigner formula and spectral concentration, for resonances near embedded eigenvalues, while also establishing exact properties for sojourn time, scattering amplitude, and time delay in the context of rank-one perturbations of the Laplacian.
This paper constructs an arbitrary-order asymptotic expansion for the quantum evolution of coherent states in self-interacting bosonic field theories, refining previous leading-order results by applying Hepp's method to both spatially cutoff models and non-polynomial analytic interactions.
This paper systematically investigates kink solutions in two-component scalar field theories with quartic potentials using the Bogomolny formalism, demonstrating that generalized superpotentials yield new models featuring continuous families of composite kinks with nontrivial internal structures.
This paper employs tropical geometry and Hamiltonian flows to derive explicit formulae for leaky Hurwitz numbers in genus 0 and prove that these invariants satisfy topological recursion under fixed leakiness, thereby establishing a partial inverse to recent results on KP -functions.
This paper investigates the universal asymptotic behavior of correlations in two-dimensional Coulomb systems featuring an outpost Jordan curve, showing that these correlations along the outpost and outer boundary are governed by a reproducing kernel for a specific Hilbert space of analytic functions, thereby generalizing recent Szegő-type edge correlation results.
The paper proves that the height function of the six-vertex model on with spectral parameter converges to a full-plane Gaussian free field in the scaling limit, a result that extends to anisotropic weights via a suitable lattice embedding.
This paper utilizes a covariant spinor moving frame quantization of type IIA and IIB superparticles to reveal a hidden symmetry in linearized supergravity, demonstrating that both theories can be described by identical analytic on-shell superfields and superamplitudes while highlighting specific challenges in extending this formalism to include D0-branes.
This paper extends the analysis of Heisenberg dynamics for non-self-adjoint Hamiltonians by investigating the role of brute-force normalized vectors in identifying conserved quantities and conditions under which observables or their mean values remain time-invariant.
This paper demonstrates that in quantum Gaussian dynamics, reversing a noising process using a fixed-diffusion Wigner-score drift generally violates complete positivity unless specific conditions are met, thereby necessitating the injection of additional diffusion to ensure physical validity and incurring a fundamental cost in fidelity.
This paper establishes that the symmetric algebra of the Bergman space on the unit disk forms a natural algebra over a square-integrable suboperad of holomorphic disk embeddings, which is identified with the affine Heisenberg vertex operator algebra and used to construct metric-dependent invariants for two-dimensional Riemannian manifolds via conformally flat factorization homology.
This paper establishes the convergence of the near-critical dimer model's height function to a massive sine-Gordon model by introducing a novel framework of discrete massive holomorphic functions with complex-valued, non-constant mass to derive exact discrete Cauchy–Riemann equations for the inverse Kasteleyn matrix.
This paper applies the classical Lie symmetry method to a nonlinear heat-diffusion equation with variable coefficients to classify admitted symmetries, reduce the partial differential equation to ordinary differential equations, and construct invariant solutions for physically relevant cases such as Storm-type materials and power-law dependencies.
This paper presents new deformation and involutivity theorems for Poisson quasi-Nijenhuis manifolds under factorization hypotheses on their defining forms, supported by examples of involutive structures, to advance the application of this geometry to classical completely integrable systems.
This paper introduces and analyzes a broad class of continuous directed polymers in driven by Gaussian environments, establishing their structural properties, proving a sharp measure-theoretic dichotomy regarding their relation to Wiener measure, and demonstrating diffusive behavior in high dimensions and high temperatures, thereby extending the Alberts--Khanin--Quastel framework to higher-dimensional settings.
This paper extends the study of peeling properties for scalar fields to Dirac fields on Kerr spacetimes by combining Penrose conformal compactification with geometric energy estimates to define peeling via Sobolev regularity near null infinity and establish optimal initial data spaces, confirming that decay and regularity assumptions in Kerr yield the same regularity across null infinity as in Minkowski space for all angular momentum values.
This paper establishes the peeling property for tensorial Fackerell-Ipser and spin Teukolsky equations on Schwarzschild spacetime by combining conformal compactification with vector field techniques to derive energy estimates and determine optimal initial data ensuring asymptotic decay along radial geodesics.
This paper establishes the necessary and sufficient conditions for the existence of Schmidt decompositions in multipartite quantum states and provides an efficient algorithm to compute such decompositions when they exist.
This paper establishes a general additivity statement for the optimized sandwiched Rényi entropy of quantum channels by generalizing multi-index Schatten norm results, which strengthens the analysis of time-adaptive quantum cryptographic protocols and provides new chain rules for Rényi conditional entropies.
This paper argues that while current Large Language Models lack the necessary physical intuition and verification capabilities for theoretical physics research, the development of specialized AI agents trained on physics-specific reasoning patterns and equipped with domain-aware tools is essential for enabling reliable, autonomous scientific discovery.