7189 papers
This paper establishes that score-driven updates are uniquely characterized by their ability to reduce the expected Kullback-Leibler divergence relative to the true data-generating density, providing a rigorous information-theoretic foundation that holds even in non-concave, multivariate, and misspecified settings where alternative performance measures fail.
This paper demonstrates the ill-posedness of the BGK model by constructing both homogeneous and inhomogeneous solutions that instantly escape their initial solution spaces through temperature increases and polynomial spatial growth, respectively, highlighting a stark contrast with the stability of the Boltzmann equation.
This paper establishes a real analogue of the generalized trisecant lemma in the form of a trichotomy, characterizing the possible numbers of real intersection points between a real projective variety and a complementary dimension linear space, with specific applications to the identifiability and typical ranks in independent component analysis and tensor decomposition.
This paper generalizes a recent result by Alladi and Johnson by proving that for any set of prime numbers with a natural density, the weighted sum of the Möbius and distinct prime factor functions over integers whose smallest prime factor lies in that set converges to zero, while also providing an effective estimate for the rate of this convergence.
This paper establishes averaging formulas for the Reidemeister trace, Lefschetz, and Nielsen numbers of -valued maps on closed manifolds by expressing them through single-valued maps on finite orientable covering spaces, with explicit results derived for infra-nilmanifolds.
This paper establishes a superposition theorem for input-to-output stability in a broad class of nonlinear infinite-dimensional systems by introducing novel stability concepts and criteria, while also addressing the specific challenges of extending such results from finite-dimensional and state-based frameworks through counterexamples.
This paper establishes a p-adic analogue of the arithmetic Gan-Gross-Prasad conjectures for unitary groups by constructing a cyclotomic p-adic L-function and proving a formula linking its first derivative to p-adic heights of Selmer classes derived from arithmetic diagonal cycles, thereby advancing the p-adic Beilinson-Bloch-Kato conjecture.
This paper establishes that mild solutions to the incompressible Navier-Stokes equations with initial data in are weak*-continuous in time and that global solutions vanish in as time approaches infinity.
This paper establishes discrete homotopy and homology theories for finite posets, demonstrating that their discrete and classical homotopy groups are isomorphic and that the two theories are connected via a discrete analogue of the Hurewicz map.
This paper investigates the generalized Davis-Wielandt radius of Hilbert space operators by establishing new lower bounds for both this radius and the numerical radius, while also deriving an alternative to the triangular inequality for operators.
This paper establishes effective versions of Bilu's equidistribution theorem for Galois orbits of small-height points in the -dimensional algebraic torus by developing a general Fourier analysis framework that quantifies convergence rates based on the regularity of mildly regular test functions, thereby extending prior results by Petsche and D'Andrea et al.
This paper constructs canonical sets of right coset representatives for the congruence subgroups , , and to prove that their corresponding fundamental domains are connected, utilizing a study of the projective line and a multiplicity function that is shown to be one less than a more computable function .
This research presents a robust dual-layer network flow model for semiconductor wafer supply chains that effectively addresses stochastic batch transfers and logistical bottlenecks, resulting in significant improvements in cost efficiency, productivity, resource utilization, and capacity.
This paper investigates the property for mapping class groups of infinite-type surfaces, establishing conditions under which any finite set of non-trivial elements can be simultaneously combined with a single infinite-order element to generate a free product structure.
This paper presents new geometrically distinct five-dimensional sphere packings and a nine-dimensional kissing configuration that match existing optimal records without surpassing them, thereby expanding the known constructions of conjecturally optimal arrangements.
This paper establishes a cohomology theory for the absolute semi-topological Galois group associated with Weierstrass polynomials, utilizing spectral sequences to derive obstruction theories and vanishing results that ultimately prove the -detectable Weierstrass realizability conjecture for abelian varieties, smooth complex projective curves, and ruled surfaces.
This paper extends the coding of measured -trees to càdlàg functions using Skorokhod's topology to demonstrate that while tree rotation acts as a dilation for critical Bienaymé trees with Gaussian offspring limits, it yields a different scaling limit encoded by spectrally positive -stable Lévy processes when the offspring distribution falls in the domain of attraction of an -stable law with .
This paper investigates the rationality of geometrically rational real threefold bundles with connected real loci and vanishing intermediate Jacobian obstructions, employing unramified cohomology, birational rigidity, and explicit constructions to establish both negative and positive results.
This paper introduces a homological stratification theory for rigidly-compactly generated tensor-triangulated categories, demonstrating its robust descent properties to provide a unified framework for answering when stratification descends and extending equivariant module spectrum results from finite groups to compact Lie groups.
This paper presents a real-time, optimization-based human-in-the-loop energy and thermal management system for electric racing cars that utilizes a tunable lift-off-throttle signal and adaptive feedback control to achieve near-optimal stint performance while respecting energy and thermal constraints.