7189 papers
This paper generalizes the Duffin–Schaeffer theorem to real residue systems by establishing a zero-one law for inhomogeneous approximation based on the parameter's membership in specific sets, utilizing novel results on the distribution of primes in Bohr sets and the equidistribution of circle rotations.
This paper establishes a spectral stability theorem for -uniform hypergraphs excluding the expansion of a -chromatic graph and applies it to uniquely determine the extremal hypergraph maximizing the -spectral radius among those without vertex-disjoint copies of the expanded complete graph .
This paper presents a construction for linear quotient orderings of products of two ideals with linear quotients and applies it to demonstrate that the squares and cubes of a specific class of modified anticycle graphs also possess linear quotients.
This paper presents an information-theoretic framework that optimizes experimental stimulus distributions to maximize the distinguishability between competing probabilistic neural coding hypotheses (likelihood vs. posterior encoding) by quantifying the expected performance gap between their respective decoders.
This paper explicitly computes the images of specific parabolically induced modules, including infinite-dimensional representations like -Verma supermodules, under rank-one Duflo-Serganova functors for general linear Lie superalgebras, thereby extending the understanding of these functors beyond finite-dimensional cases.
This paper presents a unified and simplified method, leveraging the Polydisc Theorem and prior work by Domin, Toledo, Clerc, and Ørsted, to calculate the Gromov norm of the Kähler class for all bounded symmetric domains, establishing that the norm is achieved if and only if the associated triangle is ideal with vertices on the Shilov boundary.
This paper proposes and evaluates the IS-AS-preintegration method, a three-step approach combining importance sampling, active subspaces, and preintegration within the quasi-Monte Carlo framework, which significantly enhances variance reduction and option pricing efficiency, particularly for out-of-the-money options.
This study comprehensively compares the computational efficiency and numerical accuracy of Python, MATLAB, and R in solving SI and SIR epidemiological models using Euler, Runge-Kutta, and Predictor-Corrector methods to guide researchers in selecting optimal tools for epidemic modeling.
This paper proposes and validates a computationally tractable two-stage stochastic optimization framework for capacity procurement that integrates storage and renewables by modeling temporally correlated uncertainties, demonstrating that stochastic decomposition can efficiently solve large-scale problems while achieving faster convergence for optimization than for precise reliability metric estimation.
This paper proposes a novel framework for efficient CSI feedback in FDD massive MIMO systems by reformulating the task as a masked token prediction problem and employing an information-theoretic self-information-based mask selection strategy to optimize Large Language Model performance.
This paper introduces a micro-agnostic, adaptive geometric framework on cellular spaces where distance is defined by cell-crossing counts, enabling the operational inference of curvature and deformation through unified estimators that bridge discrete measurements to continuum metrics with rigorous stability and convergence guarantees.
This paper demonstrates that the axioms defining various hypercompositional structures, such as hypergroups and hyperfields, are not independent, and consequently proposes new, minimized definitions that reduce the necessary set of axioms.
This paper establishes sharp multidimensional Bohr radii for bounded holomorphic mappings on the unit polydisc by refining Bohr-type inequalities involving Schwarz functions and directional derivative operators, thereby generalizing univariate results to with rigorously verified optimality.
This paper investigates the concept of picture fuzzy subgroups by introducing their direct product and establishing several characterizations of this product using -cut sets.
This paper establishes that, with specific exceptions, every 3-connected claw-free graph with a domination number of at most 5 is Hamiltonian and every such graph with a domination number of at most 4 is Hamilton-connected, while also proving that 3-connected line graphs of 3-hypergraphs with a domination number of at most 4 are Hamiltonian.
This paper derives a general recursive formula for the Sombor index of multi-level pendant-augmented path trees with nonuniform degree distributions, addressing the lack of closed-form expressions for such complex hierarchical structures.
This paper presents a unified method for efficiently computing the generating functions of the Hadamard products between Pell-Padovan tetranacci numbers and eight specific classical second-order recurrence sequences.
This paper provides concise proofs for recent permutation polynomial results and establishes a general framework for constructing complete permutation polynomials over finite fields by combining Zieve's fiber criterion with the AGW criterion, specifically utilizing fiber decompositions over the cube roots of unity.
This paper proposes a likely derivation for Ramanujan's 1927 approximations of an ellipse's perimeter and introduces a new, uniformly more accurate formula based on those insights.
This paper proves that the dual canonical bases of Drinfeld double quantum groups coincide with Berenstein–Greenstein's double canonical bases by utilizing the geometry of NKS quiver varieties to reinterpret their algebraic construction, thereby establishing their positivity and invariance under braid group actions.