2916 papers
This paper establishes that for sufficiently large , the non-real part of the closure of roots of restricted polynomials outside the unit disk is exactly the closure of a finite-capture locus, achieved by constructing canonical traps and proving uniform inclusion properties within a specific lens-shaped region.
This paper establishes sharp uniform bounds on the eigenvalues of time-frequency localization operators and coherent state transform localizations near their spectral phase transition, revealing a qualitative difference in their decay rates where the former exhibits a logarithmic dependence while the latter decays quadratically.
This paper establishes the global well-posedness, uniform-in-viscosity estimates, and optimal large-time decay rates for classical solutions to the three-dimensional compressible Navier-Stokes-Vlasov-Fokker-Planck system with density-dependent friction, thereby rigorously justifying the global inviscid limit and proving the first global existence of classical solutions for the corresponding Euler-Vlasov-Fokker-Planck system.
This paper confirms the nearly 30-year-old 100 Euro Conjecture by proving that for every real matrix satisfying , there exists a nonzero vector such that entrywise, utilizing a finite-dimensional reformulation of Ball's plank theorem.
This paper establishes the open-loop solvability and derives a closed-loop representation for a cone-constrained two-player zero-sum stochastic linear-quadratic differential game involving jump-diffusion systems with regime switching and random coefficients, utilizing forward-backward stochastic differential equations and newly proposed multidimensional indefinite extended stochastic Riccati equations with jumps.
This paper demonstrates that for a stationary binary Markov source under Hamming distortion, the centered single-letter -tilted sum is an affine transformation of the occupation count, thereby enabling the derivation of its exact finite-blocklength distribution, closed-form variance, and distortion-independent cumulants via a $2 \times 2$ transfer matrix.
This paper demonstrates that any two forests or pseudoforests sharing the same degree sequence can be transformed into one another via a sequence of 2-switches while preserving their forest or pseudoforest structure, and further establishes that this operation minimally perturbs specific integer parameters, thereby proving these parameters possess the interval property within these graph families.
This paper proposes a nonparametric density estimation method for compositional data with missing values using an adaptive Dirichlet kernel and inverse probability weighting, demonstrating its superior finite-sample performance over log-ratio transformation approaches and its practical utility in analyzing leukocyte composition data.
This paper proposes a convex, delay-dependent output-feedback control synthesis method for LPV systems with time-varying input delays by integrating parameter-dependent Lyapunov functions with dynamic IQC multipliers and an exact-memory controller structure, thereby overcoming the non-convexity of memoryless designs to achieve reduced conservatism and improved performance.
This paper solves the topological classification of smooth structurally stable flows on closed four-dimensional manifolds with exactly two saddle equilibria and heteroclinic connections, demonstrating that while the number of such curves completely characterizes flows on , it yields a countable family of equivalence classes on for odd numbers of curves , contrasting with the finite classification found in the three-dimensional case.
This paper proposes a transparent, model-based approach to isolate and decompose the energy consumption effects of intelligent district heating control algorithms from other building changes, addressing the limitations of existing evaluation methods using a decade of real-world data.
This paper introduces a novel method, incorporating new localization ideas inspired by stochastic partial differential equations, to compute the Hausdorff dimension of slow points in fractional Brownian motion, building upon recent work that established their existence.
This paper presents a generating set for the initial ideal of simplicial toric ideals under the graded reverse lexicographic order by utilizing representations of affine monoid elements as sums of irreducibles, while also demonstrating how to derive the reduced Gröbner basis and comparing the maximal degree of the basis with the Castelnuovo-Mumford regularity.
This paper demonstrates that under the condition of a tracially sequentially-split -homomorphism of order zero, key regularity properties including tracial -comparison, tracial -almost divisibility, and tracial nuclear dimension less than are preserved from a target unital -algebra to a source algebra .
This paper addresses open questions regarding strict spectral approximants by computing the subdifferential of the Ky Fan - norm to establish characterizations for best approximations and derive necessary and sufficient conditions for -orthogonality.
This paper establishes spectral upper bounds for the independence number of graphs and even uniform hypergraphs, extends the Hoffman bound to these structures, and provides a simple spectral condition to determine key graph parameters including the independence number, Shannon capacity, and Lovász number.
This paper proves the author's conjecture that every compact primitive of a Stepanov remotely almost periodic function with a minimal -limit set is itself remotely almost periodic, thereby resolving the problem of integrating such functions.
This paper presents new methods for constructing external subsets of nonstandard arithmetic models to demonstrate that while copies of the real numbers cannot be formed within an ultraproduct of finite fields using these techniques, such constructions can yield copies of the algebraic reals, hyperreal fields, or algebraically closed fields of continuum cardinality.
This paper proves a conjecture by Dong et al. regarding the negativity of the -th derivative of the logarithm of the chromatic polynomial with a negative variable for all and , where is the graph's maximum degree.
This paper establishes higher pointwise regularity for nonnegative classical solutions of fully fractional parabolic equations by providing a unified proof based on novel equivalent definitions of pointwise function spaces and the integral representation of the fractional heat kernel.