3236 papers
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.
This paper proposes a coupling-aware wideband reconfigurable holographic surface (RHS) model and a Jacobian-aided WMMSE-based joint beamforming framework to maximize multi-user sum rate by effectively mitigating mutual coupling effects while satisfying practical power constraints, with its validity confirmed through Meep simulations and numerical experiments.
This paper introduces and systematically analyzes a variant of the Cops and Robbers game where a cop follows a predetermined patrol against an omniscient robber, determining the minimum capture radius required for various graph classes including trees, grids, and chordal graphs.
This paper generalizes Serre conjecture II to pseudo-reductive groups by proving its equivalence to the original conjecture for semisimple groups, thereby establishing that every torsor under a pseudo-semisimple, simply connected group over global function fields or non-archimedean local fields possesses a rational point.
This paper proves that, under a mild moment condition, the number of occurrences of a fixed rooted plane tree as a general subtree in a conditioned Galton--Watson tree is asymptotically normal with linear mean and variance, thereby confirming a conjecture by Janson and demonstrating that the result fails if the moment condition is violated.
This paper establishes a necessary and sufficient condition for embedding homogeneous quandles associated with a triplet into conjugation quandles, thereby generalizing existing results for Alexander quandles and providing new insights into core, Grassmann, and rotation quandles.
This paper establishes a direct primal-based stability framework for two-stage stochastic programs with problem-dependent costs, proving Lipschitz continuity of the optimal value function under a regret domination property and demonstrating its applicability to both continuous and mixed-integer second-stage problems.
This paper introduces the framework of non-Abelian patchworking, a geometric method for constructing real algebraic surfaces in via the real locus of non-Abelian complex-phase tropical hypersurfaces, which successfully reproduces all isotopy types of surfaces up to degree three and reveals that primitive surfaces can exhibit Euler characteristics distinct from their complex counterparts.
This paper proposes an equivalent formulation of the Twin Prime Conjecture based on a symmetric property observed within a specific sequence of arithmetic progressions defined for pairs of coprime integers.
This paper generalizes several topological results and concepts from ring theory to the setting of monoids.
This paper introduces and validates a novel semi-discrete optimal transport scheme for the compressible semi-geostrophic slice model that utilizes -exponential charts to efficiently construct -Laguerre tessellations, thereby enabling mass- and energy-conserving simulations of large-scale atmospheric dynamics while preserving key geometric structures.
This paper presents a concise and self-contained proof of Delahan's theorem, demonstrating that every simple graph with vertices appears as an induced subgraph of a Steinhaus graph with vertices by utilizing the concept of generating index sets for Steinhaus triangles.
This paper answers a question posed by Ellenberg regarding primitive elements of small height and uses this result to improve Heath-Brown's upper bounds for the -torsion part of class groups in purely cubic and general pure number fields of arbitrary odd degree.
This paper determines the minimum sizes of -completely hyperseparating set systems for general and of $2$-hyperseparating set systems, thereby generalizing recent results by Bat'iková, Kepka, and Němec.
This paper proves that as approaches infinity, the proportion of orientably-regular maps and hypermaps with automorphism groups or that are chiral tends to 1, establishing that chirality is generic for these structures.
This paper proves a sharp reverse isoperimetric inequality in three-dimensional space forms of constant curvature, demonstrating that among all -convex bodies with a fixed surface area, the -convex lens uniquely minimizes volume, thereby confirming Borisenko's Conjecture for non-zero curvature cases.
This paper establishes that the asymptotic accumulation of eigenvalues near unity for convolutions of indicator functions and density operators on locally compact groups occurs if and only if the group is unimodular and the underlying sets form a Følner sequence, thereby extending known results for the Heisenberg group to broader classes such as nilpotent and homogeneous Lie groups.
This paper introduces the -footrule coefficient, a new copula-based measure of negative association defined as the -distance to the countermonotonic copula, establishes its theoretical relationship with Gini's gamma and Spearman's footrule, and provides a statistically rigorous rank-based estimator with proven consistency and asymptotic normality.
This paper proposes a mixed-integer linear programming framework that discretizes the three-dimensional wiring diagram problem into structured network graphs to optimize cable or pipeline routing while satisfying complex industrial constraints such as obstacle avoidance, safety distances, and constructibility.