math papers | Gist.Science

A New Adaptive Randomized Equilibrium Search for Generalized Nash Equilibrium Problems

This paper introduces Adaptive Randomized Equilibrium Search (ARES), a practical local search heuristic that combines best-response information with local action sampling and adaptive trust-region mechanisms to robustly solve Generalized Nash Equilibrium Problems, particularly demonstrating superior ability to avoid cycling and discover diverse equilibria in nonconvex and non-shared constraint settings compared to deterministic methods.

Benjamin Benteke Longaou, Tangi Migot, Monica-Gabriela Cojocaru2026-10-16

🔢 mathematics

Recovery of k-Sparse Signals via Truncated ℓ1−2 Minimization with Prior Support Information

This paper proposes a truncated $\ell_{1-2}$ minimization model that leverages prior support information to establish strictly weaker recovery conditions and demonstrate significantly improved performance over conventional methods for recovering $k$ -sparse signals, supported by theoretical analysis and numerical experiments.

Shaohua Xie, Kaihao Liang2026-10-16

🔢 mathematics

Constructing Complete Permutations via the D-Class of Locally Crooked Permutations

This paper introduces the D-class of permutations over $\mathbb{F}_{2^{n+1}}$ to characterize and construct complete permutations via local conjugations, establishing their algebraic properties, cryptographic bounds, and CCZ-inequivalence while presenting algorithms that successfully enumerate new $\delta=4$ complete permutations.

Li Shuai2026-10-16

🔢 mathematics

When Dense Networks Diffuse Sparsely: A Stochastic Propagation Operator for Weighted Directed Networks

This paper introduces a stochastic propagation operator for weighted directed networks that models sparse link activation and node capacity, demonstrating that such sparsity fundamentally reshapes sector centrality rankings through retention mechanisms rather than simple attenuation or backbone extraction, thereby revealing that dense network connectivity does not necessarily imply dense effective diffusion.

Pablo Reyes Granados, German Combariza2026-10-16

🔢 mathematics

Symmetric Jacobi–Dirichlet Deformations: Finite Hypergeometric Closure, Positive Tilts, and Meromorphic Continuation

This paper introduces a permutation-invariant Jacobi deformation of the Dirichlet integral that separates signed oscillatory properties from a strictly positive quadratic family, thereby establishing finite hypergeometric closures, joint log-convexity, explicit moment formulas, and meromorphic continuation within a unified symmetric simplex framework.

Salem Saleh Al-Qasemi Barahmah2026-10-16

🔢 mathematics

Lyapunov exponents of fractional-order systems: a definition from the diffusive representation, the ageing of memory, and what memory truncation measures

This paper establishes a rigorous definition for Lyapunov exponents in fractional-order systems by reformulating them as autonomous dynamical systems via diffusive representation, revealing that while positive exponents are robust, non-positive exponents are artifacts of memory truncation that distort attractors and suppress chaos, whereas the system's intrinsic dynamics exhibit no exponential contraction.

Stefano Fazzino2026-10-16

🔢 mathematics

Centralized Round-Robin Tournament Scheduling with a Flexible Number of Matches per Round

This paper addresses the NP-hard problem of minimizing total travel distance in centralized single round-robin tournaments with flexible match counts per round by establishing theoretical complexity results and polynomially solvable cases, while proposing a highly effective iterated local search heuristic that outperforms mixed-integer programming on large-scale instances.

Hikaru Anai, Yunjian Cao, Wei Wu2026-10-15

🔢 mathematics

A Fractional Order Dengue and Malaria Co-infection Model with Hyers-Ulam Stability, Sensitivity Analysis, and Optimal Control Strategies in Thailand

This paper proposes a novel Atangana-Baleanu fractional-order model to analyze the transmission dynamics of dengue–malaria co-infection in Thailand, establishing its mathematical stability and demonstrating through sensitivity analysis and optimal control simulations that mosquito vector control is the most effective strategy for reducing disease burden.

Rahim Ud Din, Atta Ullah, Puntani Pongsumpun2026-10-15

🔢 mathematics

Complementary bodies in sphere packing

This paper utilizes symbolic and graphical tools to define and analyze "spherically truncated polyhedra" as complementary bodies in cubic close packing, deriving their surface area-to-volume ratios and establishing their tiling properties to advance the understanding of interstitial space in sphere packings.

Philip W. Kuchel2026-10-15

🔢 mathematics

Prediction of Subfractional OrnsteinUhlenbeck Processes under the Natural Filtration and Conditional Mean Hedging

This paper develops a prediction and hedging framework for subfractional Ornstein–Uhlenbeck processes by deriving exact conditional laws under both discrete and continuous observation, which are then applied to classify and solve conditional mean hedging problems under proportional transaction costs without relying on unwarranted convexity assumptions.

Foad Shokrollahi2026-10-15

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