2570 papers
This paper establishes that for a principal congruence subgroup over a function field , the -unstable region of the Bruhat-Tits building for is homotopy equivalent to the spherical Tits building for , extending Grayson's generalization of Serre's earlier result for .
This paper proposes and analyzes a two-grid penalty approximation scheme for decoupled Markovian doubly reflected BSDEs, which overcomes error amplification from obstacle evaluation by simulating the forward process on a finer grid, thereby establishing explicit error bounds and optimal tuning rules to achieve a target convergence rate of .
This paper confirms the Darmon-Vonk conjecture on the antisymmetry of real quadratic singular moduli by analyzing rigid meromorphic cocycles for the split orthogonal group on four variables and establishing the modularity of a generating series of Kudla-Millson divisors.
This paper documents research conducted under the DRP Turkiye 2025 mentorship program, providing a comprehensive exposition of Grassmann algebra's foundational properties, construction, and relationship to determinants, while culminating in a novel classification of its invariant subalgebras.
This paper contrasts the mathematical structures and optimality conditions of rate-control versus effort-control harvesting in age-structured populations, demonstrating how the multiplicative, aggregate-dependent nature of effort-control introduces nonlocal coupling in the adjoint system that fundamentally distinguishes it from the additive rate-control formulation.
This paper proves a conjecture by D'haeseleer, Metsch, and Werner by determining the largest cocliques and establishing a stability result for the Kneser graph of -flags in PG when is sufficiently large, utilizing the Erdős-Matching theorem for vector spaces.
This paper investigates biased Maker-Breaker games on systems of graphs where Maker aims to construct rainbow structures, specifically determining the threshold bias for rainbow connectivity and diameter games on complete graphs while disproving a conjecture by Balogh, Martin, and Pluhár.
This paper introduces a scalable s-step Preconditioned Conjugate Gradient method that leverages a Chebyshev-stabilized basis and Forward Gauss-Seidel iterations to solve reduced Gram systems, achieving classical convergence with significantly reduced synchronization overhead on modern GPU architectures.
This paper introduces generalized Jflower and Jposy configurations that unify with classical flower and posy structures to provide a comprehensive characterization of Sterboul-Deming graphs, where every vertex belongs to a specific configuration relative to a maximum matching.
This paper characterizes Sterboul–Deming graphs—defined as graphs where every vertex belongs to a posy or a flower—by providing constructive decomposition algorithms for graphs with perfect or unique perfect matchings, extending the analysis via Gallai–Edmonds decomposition, and demonstrating that the class encompasses all graphs possessing a -factor.
This paper introduces the family of -disjoint graphs as a generalization of non-König-Egerváry almost bipartite graphs, proving that they preserve key structural equalities while extending the relationship between the corona, core, and independence number to accommodate multiple disjoint odd cycles, thereby verifying a recent conjecture by Levit and Mandrescu.
This paper characterizes the conditions under which the band-unfolding of a nested prismatoid results in a nonoverlapping layout, demonstrating that the previously known counterexample is essentially the only obstruction to this method's success.
This paper investigates the well-posedness, simultaneous exact and approximate controllability, and polynomial stabilization of cascade coupled 1-d heat and wave systems within an abstract LTI framework, leveraging the cascade structure to overcome challenges associated with classical energy methods.
This paper establishes a finite-blocklength rate-distortion framework for heterogeneous random fields on finite lattices that explicitly incorporates tile-based processing constraints, providing non-asymptotic bounds and a second-order expansion to quantify the effects of spatial correlation, heterogeneity, and tile size on compression performance.
This paper investigates optimization problems concerning the relationship between the first eigenvalue and torsional rigidity induced by general anisotropic seminorms, specifically analyzing the minimization and maximization of their product functional with respect to the seminorm control.
This paper proves that for sloshing problems defined by the Laplace equation with mixed boundary conditions on a smooth bounded domain, all eigenvalues become simple under small perturbations of the domain.
This paper rigorously proves the fast dynamo conjecture for a pulsed-diffusion model on the 3-torus by constructing a specific hyperbolic velocity field and utilizing anisotropic Banach spaces to demonstrate that magnetic instability persists under small diffusivity.
This paper introduces sparse linear inequalities that outer approximate the positive semidefinite cone to create an LP relaxation with bounds equivalent to semidefinite programming, demonstrating that these inequalities can accelerate branch-and-bound algorithms for solving nonconvex quadratic optimization problems.
This paper presents a theoretical algebraic framework for the Linear Code Equivalence problem using Plücker coordinates and invariant rational functions to construct polynomials with the underlying permutation matrix as a root, demonstrating the potential of algebraic geometry in cryptanalysis despite the resulting polynomials being computationally infeasible for practical attacks.
This paper establishes the existence and nonexistence of finite-energy solutions to singular Einstein-scalar field Lichnerowicz equations on complete Riemannian manifolds with low-regularity coefficients, utilizing -regularization, mountain pass arguments, and Harnack's inequality under specific spectral, geometric, and integrability conditions.