7425 papers
This paper investigates the Equi-Baire one property for families of Möbius transformations, demonstrating that iterates of loxodromic maps form such a family on their attracting basins and establishing that a one-parameter subgroup satisfies this condition on all compact sets if and only if it is relatively compact in .
This paper investigates the projected isotropic normal distribution, deriving new properties and practical approximations for its mean resultant statistic to facilitate phase-based analysis of EEG signals recorded during flash stimulation.
This paper establishes the existence of the minimal model program for arbitrary log canonical generalized pairs by introducing linearly decomposable pairs as a substitute for rational decompositions and proving the existence of flips without relying on the klt, NQC, or -factoriality conditions.
This paper introduces a class of algebras derived from labeled directed graphs, establishes their properties as axial algebras with specific fusion laws and simplicity, and demonstrates that any group can be realized as the automorphism group of infinitely many such simple algebras.
This paper refines the string equation on from the Chow ring to algebraic cobordism to derive inductive formulas for cobordism-valued psi-class intersections and explicit classes up to , including their images in -theory.
This paper establishes the linearized stability of non-isolated equilibria for quasilinear parabolic problems within interpolation spaces, utilizing a flexible approach with low regularity requirements on the semilinear term to extend previous maximal regularity results and apply to concrete models like the Hele-Shaw problem and fractional mean curvature flow.
This book surveys recent significant advances in the list decoding of Reed-Solomon and related polynomial-based codes, highlighting developments that achieve information-theoretic capacity with optimal list sizes using efficient, nearly-linear, and sublinear-time algorithms.
This paper presents a Monte Carlo-based computational framework to analyze the steady-state distributions and stability of random differential equations with uncertain, multi-modal parameters, demonstrating its efficacy through a Rosenzweig-MacArthur predator-prey model that reveals complex, multi-modal equilibrium behaviors.
This paper bridges the gap between theoretical estimates and numerical evidence for the local discontinuous Galerkin method applied to convection-diffusion equations by establishing new approximation results for Gauss-Radau projections, thereby proving optimal convergence rates even for solutions with limited spatial regularity.
This paper employs rigorous topological-numerical methods, specifically Morse decomposition and Conley index computations, to analyze the global dynamics of a discrete-time two-gene Andrecut-Kauffman model, revealing complex phenomena such as multistability and chaotic attractors across a wide range of parameters.
This paper establishes that modules over specific classes of Gorenstein local rings, including those where is a Golod ring or the square of the maximal ideal is generated by at most two elements, possess rational Poincaré series with a common denominator, thereby confirming the Auslander-Reiten conjecture for these rings and providing new proofs for existing results on compressed and low codepth rings.
This paper extends the characterization of Hoffman colorability to all connected graphs with smallest eigenvalue at least by classifying generalized line graphs and exceptional graphs, while identifying 29 maximal exceptional graphs and 39 maximal -representable graphs.
This paper establishes asymptotic formulas for the face numbers of a specific family of Hanner polytopes, a result that nearly saturates the FLM inequality for a corresponding set of parameters.
This paper establishes the compactness of a character variety classifying continuous group actions on algebraic real hyperbolic spaces of arbitrary dimension, unifying previous compactifications and proving rigidity results for irreducible representations via the introduction of algebraic and abstract cross-ratios.
This paper investigates the one-dimensional Klein-Gordon equation and demonstrates that in spacelike quarter-planes, solutions exhibiting insufficient growth satisfy a Liouville phenomenon where their values on the two linear edges are uniquely determined by one another, analogous to classical theorems for harmonic functions.
This paper demonstrates that while a continuous map into a metric space is of bounded variation if and only if its composition with every Lipschitz function is of bounded variation, this characterization fails for discontinuous maps in spaces like , infinite metric trees, and Laakso-type spaces, though it remains valid for ultrametric spaces without continuity assumptions.
This paper proves Lubin's conjecture in new cases by demonstrating that over -tame extensions, the consistent sequences associated with a commuting pair of noninvertible and invertible height-one formal power series form a crystalline character of weight 1.
This paper proposes a convergent Plug-and-Play blind super-resolution framework that enhances clinical 1.5 T MRI images for improved multiple sclerosis diagnosis by jointly estimating high-resolution structures and unknown blur kernels without requiring prior degradation models.
This paper resolves a question posed by Benedetti and Sagan by constructing a sign-reversing involution on Takeuchi's expansion to explicitly determine the antipode of the ring of symmetric functions in the Schur basis.
This paper investigates the multifractal properties of the exceptional set in the Lüroth expansion where the maximal run-length function exhibits linear growth, specifically establishing the Hausdorff dimension for sets defined by prescribed lower and upper limits of the ratio between the run-length and the number of digits.