2964 papers
This paper investigates the irreducible components of fixed point sets within the -character variety of a genus two surface under finite group actions, utilizing the genus two DAHA to identify geometric transitions that yield novel candidates for symmetry-reduced moduli spaces in 4d SCFTs.
This paper presents a fully device-resident, multi-GPU architecture that achieves near-zero host-device communication and 99.7% parallel efficiency through lock-free work-stealing and optimized shared-memory tiling, enabling the verification of Goldbach's conjecture up to $10^{13}$ in just 133.5 seconds on a four-GPU system with a 45.6× speedup over previous methods.
This paper demonstrates that partial differential equation propagation acts as a spectral preconditioner that improves Fourier ratio bounds, thereby enabling stable recovery of discretized fields from incomplete random spatial samples with sampling rates that are effectively independent of grid resolution.
This paper presents a simplified approach to the stable Hopf invariant by offering elementary proofs of the Cartan, Composition, and Transfer formulas, and extends these results to the stable category of -spaces for discrete groups.
This paper analyzes two coupled ODE models of political competition on probability simplices, demonstrating that a unique spectral threshold governs global stability and radicalization dynamics, where the baseline model precludes irreversible centrist decline while an extended model with disengaged voters reveals how cumulative structural shifts can trigger staircase radicalization.
This paper establishes a de Rham and Hyodo-Kato flip-flopping theorem for dual towers of rigid analytic spaces by utilizing pro-étale comparison theorems, and applies this result to prove the admissibility of the de Rham and Hyodo-Kato cohomologies of finite level coverings of Drinfeld spaces as representations of .
This paper establishes the global existence, uniform-in-time boundedness, and exponential convergence to steady states for classical solutions of two-dimensional Keller-Segel-Navier-Stokes systems with signal-dependent power-law decaying sensitivities by employing localized energy estimates and a novel interpolation inequality.
This paper establishes that the graded Ehrhart theory of unimodular zonotopes yields a -evaluation of their Tutte polynomials and characterizes their harmonic algebras as finitely generated, Cohen--Macaulay coordinate rings of arrangement Schubert varieties, thereby confirming specific conjectures by Reiner and Rhoades.
This paper introduces graph-pretzel links as a generalization of classical pretzel links and demonstrates that a specific subfamily associated with the complete graph on four vertices yields an infinite family of distinct ribbon knots that share a trivial Alexander polynomial but are distinguished by their Jones polynomials.
This paper provides an affirmative solution to an open problem posed by Brezis and Mironescu in their book *Sobolev Maps to the Circle*, demonstrating that the least mass of area-minimizing integral rectifiable currents with a smooth boundary equals the infimum of areas among smoothly immersed submanifolds sharing that boundary.
This paper provides proofs for Miyashita's characterizations of separable and Hirata separable polynomials in the general skew polynomial ring , extending the author's previous elementary proofs from the specific automorphism and derivation cases.
This paper proposes a distributed convex optimization protocol that enables portfolio managers to iteratively adjust their independent trades based on shared cost estimates, thereby significantly reducing market impact and transaction costs without requiring the disclosure of private trading strategies or direct communication between managers.
LegONet introduces a compositional, plug-and-play framework for learning PDE solvers by utilizing structure-preserving operator blocks on shared spectral representations to separate boundary handling and mechanism learning, thereby enabling stable, reusable, and reconfigurable neural operators across diverse equations and conditions.
This paper establishes that dynamically convex, closed contact type hypersurfaces in enclosing the zero section possess at least closed Reeb orbits, and further guarantees the existence of at least two irrationally elliptic orbits under non-degeneracy and finiteness conditions.
This paper proposes a structure-preserving LOBPCG algorithm, enhanced with an improved Hetmaniuk-Lehoucq trick and an adaptive multi-level orthogonalization strategy, to efficiently and accurately solve the Bethe-Salpeter eigenvalue problem while naturally extending to symplectic eigensolvers.
This paper develops extensions of parametric nonlinear Schrödinger equations for phase-sensitive optical resonance that preserve the curve lengthening bifurcation by constructing specific down-phase self-interaction operators, thereby maintaining linear stability while enabling a sign flip in the normal velocity's linear term.
This paper proposes the combinatorial data augmentation-guided NLoS detection (CDA-ND) algorithm, which generates NLoS evidence vectors from multilateration-based location clusters to enable both hard and soft NLoS detection modes, significantly improving 6G positioning accuracy in indoor factory environments by reducing mean absolute error by up to 66%.
This paper establishes sharp, up to polylogarithmic factors, small cap square function and decoupling estimates for the parabola using axis-parallel rectangles of dimensions for $0 \leq \beta \leq 11 \leq \beta \leq 2$.
This paper investigates the Casimir effect in rectangular cavities as a probe for Lorentz symmetry violation, demonstrating how a fixed background four-vector induces anisotropic, direction-dependent corrections to the vacuum energy while preserving the separability of field modes.
This paper defines contravariantly infinite subcategories of finitely generated modules over a commutative Noetherian ring and establishes several criteria for such infiniteness specifically in the case where the ring is a local complete intersection.