3201 papers
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.
This paper addresses the point-wise and interval estimation of differential entropy for two normal populations under order-restricted prior information by deriving improved estimators that dominate the best affine equivariant estimator and comparing various confidence interval methods through numerical studies and a real-world application.
This paper investigates the complex reflection group associated with the octahedral group by determining its irreducible representations and character table, computing the modules of vector-valued invariants for each representation, and deriving explicit dimension formulas for the corresponding rings of invariants.
This paper establishes that for sufficiently large and , the maximum size of a 3-wise -intersecting family of -element subsets is , with the bound being asymptotically tight under the condition for .
This paper establishes the well-posedness of a complex -fractional Brownian bridge and proves the strong consistency and asymptotic distribution of its least squares parameter estimator for , revealing a unique two-dimensional limiting distribution with non-Cauchy marginals derived via complex Malliavin calculus.
This paper establishes a new sharp three-term inequality linking differential Rényi entropy, Rényi divergence, and Rényi cross-entropy for probability density functions, demonstrating that equality holds when one density is an escort of the other and using this result to derive further sharp bounds involving various informational functionals like absolute moments and Fisher information.
This paper introduces Drag-Aware Aerodynamic Manipulability (DAAM), a geometric framework for control allocation in redundant multirotors that utilizes a Riemannian metric to explicitly account for motor torque limits and aerodynamic drag, thereby generating a state-dependent manipulability volume that serves as a natural barrier function to optimize redundancy resolution while characterizing the resulting smooth manifolds and global jump discontinuities.
This paper develops a theory of asymptotic post-hoc inference that utilizes e-values to create sharper confidence sets and p-values with weaker assumptions than existing nonasymptotic methods, thereby allowing valid statistical conclusions even when significance levels are chosen after observing the data.