Mathematical physics
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- Unified theory of oscillons and modes
- On the Emergence of Discrete Spectrum for Weakly Disordered Schrödinger Operators
- RepNN: Tackling spectral bias in deep neural networks for regression and PDE problems via parameter reparameterization
- An integrable deformation of the sine(sinh)-Gordon model -- Non-Lie algebra
- Laplace--King representations: density and spectral theory
- Solver Agent: an Agentic AI Framework for Theoretical Physics Computations Applied to F-theory Uplifts of O3-planes and S-folds
- Diffractive Geometric Optics for Bloch Wave Packets
- Wall-crossing phenomenon for the liquid bin model
- A criterion of density for solutions of Poisson-driven SDEs
- Emergent Hydrodynamics in an Exclusion Process with Long-Range Interactions
- Wild dynamics on manifolds
- Generalized Charlier Recurrence Coefficients: Hankel Formulas, Laguerre--Freud Dynamics, and Painlevé V Connections
- Wave-Particle Decomposition for Kinetic Equations II: Full Boltzmann equation
- Rare but stable: hidden states in the 1D swarmalator model
- Homogenized graphs with spectrally embedded defect states
- Modulation spaces: from Feichtinger's original definition to modern Gabor and symplectic characterizations
- Effective atom-dimer bands of three-body lattice systems at strong coupling: exact critical mass ratios and a statistics-quasimomentum duality
- Landau--Ginzburg mirror symmetry for ADE singularities
- Criticality without Temperature in an Ising Spin System
- Classical freeness of affine vertex algebras of sl2 at boundary admissible levels
- A construction of charged naked singularities for the Einstein--Maxwell-charged scalar field equations in 3+1 dimensions
- Uncertainty Quantification for the Fission Matrix Method: A Rigorous Mathematical Framework and Computationally Efficient Alternatives
- Poisson eigenvalue statistics and dynamical delocalization for fractional and long-range Anderson models
- An upper-symbol approach to Φ4d limits of Bose gases
- Dry Ten Martini Problem in the Subcritical Type I Regime