5676 papers
This paper establishes a large-deviation principle for the maximal energy of a spin glass with spins by deriving a Parisi-type formula for fractional moments and leveraging convex duality to show that the rate function is asymptotically quadratic near its minimum if and only if an external magnetic field is present.
This paper establishes an asymptotic expansion in inverse powers of time for the correlation functions of isometric extensions of volume-preserving Anosov flows defined on Abelian covers of closed manifolds.
This paper establishes the existence of two normalized solutions with a prescribed -norm for the stationary nonlinear Schrödinger equation with a radial potential in the mass-supercritical regime, utilizing Morse theory, spectral arguments, and radial blow-up analysis under minimal assumptions on the potential's sign, behavior at infinity, and regularity.
This paper presents an optimization-based formulation of the Red Light Green Light (RLGL) algorithm for computing stationary distributions of large Markov chains via Dirichlet-energy minimization and coordinate descent, thereby clarifying its behavior, establishing exponential convergence for specific chain classes, and suggesting practical scheduling strategies to accelerate convergence.
This paper utilizes a covariant spinor moving frame quantization of type IIA and IIB superparticles to reveal a hidden symmetry in linearized supergravity, demonstrating that both theories can be described by identical analytic on-shell superfields and superamplitudes while highlighting specific challenges in extending this formalism to include D0-branes.
This paper establishes the exponential stability of the linearized viscous Saint-Venant equations in the norm by constructing an explicit diagonal quadratic Lyapunov function and deriving sufficient conditions on boundary parameters for small viscosities.
This paper introduces a stochastic nonlocal fractional reaction-diffusion model for tumour dynamics driven by multiplicative fractional Brownian motion, establishing well-posedness, deriving explicit blow-up time bounds and probabilities via a Doss-Sussmann transformation, and illustrating how anomalous diffusion and correlated noise jointly influence long-term tumour progression or extinction.
This paper establishes new Ore-degree conditions that guarantee the existence of matchings in -uniform hypergraphs by proving upper bounds on the Ore-degree for intersecting hypergraphs and demonstrating that exceeding a specific threshold ensures the presence of pairwise disjoint edges.
This paper establishes the existence of nontrivial nonnegative weak solutions to a semilinear Grushin-Schrödinger equation in with controlled potentials by proving the embedding of the associated energy space into a weighted Lebesgue space and deriving subsequent regularity results.
This paper investigates rigid-ruling folding motions of curved creases by deriving conditions for the foldability of developable semi-discrete conjugate nets and applying these findings to enable the sequential construction of foldable patterns and characterize the compatibility of planar and constant fold-angle creases.
This paper establishes that a notion of higher-order normality, derived from iterated Lie brackets, is sufficient to prevent infimum gaps in impulsive extensions of control-affine systems under an -control topology, thereby extending existing no-gap results beyond the more common -trajectory framework.
This paper confirms Martin's conjecture for a broad subclass of weakly quasi-o-minimal theories.
This paper characterizes the monogenicity of irreducible trinomials of the form (where is prime) by classifying them according to their Galois groups, thereby extending the authors' previous research.
This paper demonstrates that, unlike the Casten-Holland and Matano theorem for interior reactions, nonconstant stable solutions for boundary reactions can exist in convex domains such as squares and regular polygons (but not circles), with their existence and the location of boundary singularities determined by a new renormalized energy function derived from the domain's conformal structure.
This paper explores the recursive structure of integer partitions by demonstrating how Sylvester waves, which represent partitions as sums of polynomial and quasiperiodic components, rely on integer weights that are themselves sums of partitions into smaller sets of integers.
This paper establishes and proves the tightness of the optimal bounded stepsize limits for Popov's algorithm in solving generalized monotone variational inequalities, demonstrating a bound of for constrained cases and an improved for unconstrained cases through a novel Lyapunov-type function analysis.
This paper demonstrates that in o-minimal structures, every definable mapping that is Lipschitz with respect to the inner metric can be approximated by (or if the structure admits smooth cell decomposition) mappings with arbitrarily close derivative bounds, a result achieved through the construction of partitions of unity with sharp derivative estimates and extended to outer Lipschitz mappings.
This paper solves the Snellius-Pothenot problem by determining the number of points in the plane of a fixed triangle that correspond to any given point on the surface defined by the cosines of the angles subtended by the triangle's sides.
This paper establishes local Schauder estimates for flat viscosity solutions to a class of non-convex fully nonlinear elliptic PDEs with Dini continuous data and linear drift terms using geometric tangential techniques, while also deriving an Evans-Krylov type estimate and characterizing the nodal sets of such solutions.
This paper establishes the necessary and sufficient conditions under which a heavy-tailed random variable can be paired with an independent heavy-tailed variable such that their minimum results in a light-tailed distribution, characterizing the specific "segmented" structure required for this phenomenon.