4970 papers
This paper establishes explicit criteria, based on Yavicoli-thickness, -uniformity, and Newhouse thickness conditions, under which compact subsets of (particularly in the plane) are guaranteed to contain similar copies of any linear 3-point configuration or any triangle.
This paper investigates the asymptotic symmetry structure of Jackiw-Teitelboim supergravity within a BF framework, demonstrating how the dilaton supermultiplet dynamically reduces the affine symmetry to a specific subalgebra with an abelian ideal, thereby providing a consistent bulk-based framework for studying boundary dynamics beyond the Schwarzian regime.
This paper establishes a non-unitary version of the Bisognano-Wichmann property and proves Haag duality for nets of smeared Wightman fields by deriving Tomita-Takesaki-like results directly from Wightman axioms, thereby extending these fundamental algebraic quantum field theory concepts to non-unitary theories where traditional Hilbert space functional analysis tools are unavailable.
This paper provides an explicit description of the phase space stratification for Calogero-Moser-Sutherland systems associated with , demonstrating that each positive-dimensional symplectic stratum is symplectomorphic to and admits natural action-angle coordinates.
This paper applies Sandqvist's semantics for classical logic without bivalence to metamathematics, demonstrating how this anti-realist framework resolves -incompleteness, establishes induction as meaning-constitutive, and provides an elementary consistency proof for Peano Arithmetic without relying on transfinite ordinals or transcendent truth.
This paper establishes a sharper upper bound for the amenability constant of the Fourier algebra of discrete groups and uses it to calculate explicit values for new classes of discrete and compact groups, thereby providing further evidence for the conjecture that Runde's lower bound is an equality.
This paper formulates a ten-dimensional holomorphic supergravity on a Calabi-Yau five-fold that reproduces heterotic moduli equations, exhibits factorized anomalies reconstructing a double-extension complex for moduli counting, and is conjectured to be an -twisted version of supergravity related to the Costello-Li theory.
This paper theoretically analyzes the Bergman determinantal point process to optimize its simulation by constructing restricted variants, establishing optimal transport inequalities for truncation errors, determining the optimal number of points with deviation bounds, and providing general deviation results for determinantal point processes.
This paper advances Mazur's Program B for elliptic curves over by proving that the genus-69 modular curve has no non-CM rational points, a result achieved by linking these points to solutions of a generalized Fermat equation and reducing the complete classification of 7-adic Galois representations to finding rational points on a single plane quartic.
This paper proposes a new omnibus goodness-of-fit test for univariate continuous distributions that leverages the full covariance structure of trigonometric moments to achieve a well-calibrated asymptotic null distribution, offering a unified, plug-and-play framework with demonstrated accuracy and power across 11 common parametric families.
This paper introduces the concept of the Hamiltonian path index as the minimum number of iterations required for a graph's line graph to contain a Hamiltonian path, proving its existence for all graphs and determining its exact value for trees while discussing its properties in graphs with Hamiltonian 2-connected blocks.
This paper introduces a unified framework for analyzing wireless network utility regions based on the spectral radius of nonlinear mappings, offering a powerful mathematical tool to characterize feasible regions, derive tractable conditions for convexity, and optimize sum-rate maximization across cellular, cell-less, and hybrid architectures.
This paper proves that for any reversible Finsler metric on the two-sphere, the number of prime closed geodesics grows quadratically with respect to length, utilizing improved versions of Franks' theorem and cylindrical contact homology.
This paper characterizes product identities of the form among Hecke eigenforms over totally real number fields, proving that such identities occur exclusively for the field with exactly two instances, while also demonstrating their non-existence when both factors are Eisenstein series of distinct weights.
This paper proposes two novel unequal error protection frameworks for digital semantic communication that leverage learned bit-flip probabilities to assign heterogeneous reliability levels, demonstrating that partitioning semantic bits into short blocks with tailored channel codes significantly outperforms conventional equal-protection schemes in both task performance and transmission efficiency.
This paper classifies three-dimensional associative algebras over arbitrary base fields of characteristic different from two and three by providing canonical representatives for their isomorphism classes and comparing these results with existing classifications over complex numbers and for the nilpotent case.
This paper introduces "Hodge atoms," new birational invariants constructed by combining rational Gromov-Witten invariants with Hodge theory via F-bundles, which are used to prove the irrationality of very general cubic fourfolds, reprove the equality of Hodge numbers for birational Calabi-Yau manifolds, and provide new obstructions to rationality over non-algebraically closed fields.
This paper introduces deep kernel greedy models that combine the computational efficiency and provable convergence of greedy sparse approximation with the enhanced expressiveness of deep, multilayer kernels, demonstrating superior approximation accuracy over standard kernels and neural networks across various scientific applications.
This empirical study validates the Social Sphere Model's effectiveness in predicting latent influencers within the arXiv General Relativity and Quantum Cosmology collaboration network, demonstrating that the model performs best with denser initial data and the newly introduced RA-2 similarity metric.
This paper establishes that the compactness of a finite relational structure is provable within Zermelo-Fraenkel set theory if the structure has width one, but implies the existence of non-measurable sets in three-dimensional space otherwise.