2549 papers
This paper establishes that hyperbolic systems admitting scaled Jordan frames possess minimal polynomials and, in the specific case of Jordan frames, exhibit orthonormality and Schur-type majorization properties that embed the space into a Euclidean Jordan algebra structure.
This paper investigates a Pearson diffusion process to demonstrate that while its noise-free limit exhibits rate-induced tipping where solutions escape a bounded domain in finite time, the presence of noise accelerates this escape.
This paper proves that the potential function of a complete Kähler-Einstein metric on a bounded strictly convex domain in is itself strictly convex.
This paper investigates a mathematical model of bacterial biofilms in a continuously stirred tank reactor with wall attachment, establishing global well-posedness and analyzing the stability and existence of both trivial and nontrivial equilibrium states.
This paper develops a discrete solvability analysis for perturbed saddle-point problems in Banach spaces with non-regular loads in , using a projector based on the adjoint of a weighted Clément quasi-interpolation to derive a priori estimates, supercloseness results, and convergence analysis for a modified Stenberg postprocessing scheme, with applications illustrated through the linearized Poisson–Boltzmann equation and numerical experiments.
This paper establishes the consistency of the Guessing Model Principle at alongside the existence of an almost Kurepa Suslin tree, demonstrating that the principle can be destructible by a ccc forcing of size , while also proving the consistency of a weak Kurepa tree existing with the failure of the Kurepa Hypothesis and a specific guessing model principle that implies the tree property at .
This paper establishes a general topological condition under which the semilocal Lipschitz upper semicontinuity modulus of a set-valued mapping is exactly determined by the supremum of its local calmness moduli, thereby enabling precise calculation of semilocal error bounds in various non-convex parametric optimization frameworks.
This paper proves that for the fractional Laplacian with nonlocal Neumann boundary conditions in an -dimensional ball, the eigenspace corresponding to the first nontrivial eigenvalue is generated by antisymmetric eigenfunctions with exactly two nodal domains when the fractional order is sufficiently close to 1.
This paper investigates the parameter plane of cosine functions with a fixed critical point, classifying their hyperbolic components into three types and proving that their boundaries are Jordan curves and quasidisks using the para-puzzle method.
This paper introduces the novel concepts of -contraction and Bianchini -contraction within super metric spaces, proves the existence and uniqueness of their fixed points through nontrivial examples, and applies these theoretical results to model terrain-following airplane navigation.
This paper advances the theory of -adic continued fractions by proving that palindromic and quasi-periodic expansions converge to either transcendental numbers or quadratic irrationals without prior restrictions on partial quotients, while also establishing a quantitative -adic version of Ridout's theorem and analyzing the growth of denominators for algebraic numbers.
This paper investigates the shadowing phenomenon for composition operators on the Hardy space , specifically characterizing those induced by linear fractional self-maps of the unit disk that possess the positive shadowing property.
This paper constructs a -adic -function for ordinary elliptic curves over global function fields of characteristic associated with -extensions, establishes its interpolation properties and functional equations, and proves the Iwasawa main conjecture in several cases, including a reduction criterion for the scenario.
This paper investigates the conditions under which isomorphic copies of the natural numbers preserve the standard class of primitive recursive functions, identifying "bases for punctual standardness" that ensure this invariance while demonstrating that many natural operations fail to satisfy it.
This paper develops explicit and compact formulas for the M-polynomial of seven specific graph products, providing a unified framework to analyze how vertex-degree interactions propagate under these constructions and extending existing results for degree-based topological indices.
This paper establishes that for eigenfunctions of complex constant-coefficient elliptic operators, either the inner radius of the nonvanishing set scales as or the entire mass concentrates in a boundary layer of the same width as the eigenvalue magnitude grows.
This paper employs graph transformation methods to determine the maximum inverse sum indeg (ISI) indices and characterize the corresponding extremal trees and unicyclic graphs with a fixed diameter.
This paper investigates anti-Ramsey numbers for weak and strong copies of posets within the power set $2^{[n]}$, establishing their connections to extremal numbers and determining asymptotic results for tree and crown posets.
This paper solves the prescribed Hermitian-Yang-Mills tensor problem on compact Kähler manifolds by proving the existence and uniqueness of a smooth Hermitian metric for any given positive definite tensor under specific positivity conditions, utilizing a new comparison theorem to derive quantitative Chern number inequalities for holomorphic vector bundles and Fano manifolds.
This paper investigates cohomological and motivic invariants of semisimple algebraic groups within the Freudenthal magic square, establishing a new isotropy criterion for strongly inner groups of type based on the Rost invariant and constructing a degree 5 cohomological invariant that detects isotropy for certain groups of type .