3152 papers
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.
This paper investigates the primitive recursive analogue of computable categoricity spectra, demonstrating that these notions coincide for several natural classes of structures, including relatively -categorical equivalence structures and linear orders, relatively -categorical Boolean algebras, and computably categorical trees as partial orders.
This paper investigates the relationship between degrees of categoricity and their punctual (primitive recursive) analogues for functional structures, demonstrating that these notions coincide for non--categorical injection structures but diverge for certain -categorical ones, while also establishing the existence of specific PR-degrees with distinct properties in every non-zero c.e. Turing degree.
This paper introduces a matrix-based notion of matroid representation over local commutative rings using modular independence, establishing conditions under which this system forms a matroid, deriving structural properties for codes over chain rings, and demonstrating that certain non-field-representable matroids, such as the Vámos matroid, can be represented over rings like .
This paper establishes a natural -multicategory structure on moduli spaces of pseudo-holomorphic polygons to provide a uniform operadic framework for various -type structures, including Fukaya categories, as algebras over differential graded -multicategories.
This paper generalizes Zhou's 2021 recursion for a specific constant term identity—originally conjectured by Kadell and later proved by Károlyi, Lascoux, and Warnaar—by categorizing the variables into two parts to extend the result to a broader context.
This paper investigates the discrete-time Hawkes process by establishing its Large Deviation Principle, analyzing the limiting behavior of the associated arrival process, and demonstrating its application in modeling insurance claims.
This paper characterizes an agent's optimal consumption, investment, and time-varying job-switching strategies over a finite horizon by reducing the dual problem to a parabolic double obstacle problem with time-dependent obstacles, for which existence, uniqueness, and free boundary smoothness are rigorously established using PDE theory.