Results 1 to 10 of about 35,262 (104)
Almost Sure Uniform Convergence of Stochastic Processes in the Dual of a Nuclear Space
Journal of Theoretical Probability, 2023 Let $Φ$ be a nuclear space and let $Φ'$ denote its strong dual. In this paper we introduce sufficient conditions for the almost surely uniform convergence on bounded intervals of time for a sequence of $Φ'$-valued processes having continuous (respectively càdlàg) paths. The main result is formulated first in the general setting of cylindrical processes
Christian Fonseca Mora
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A simple characterization of almost uniform convergence by stochastic convergence
Manuscripta Mathematica, 1990 Motivated by Egorov's theorem and the characterization of the equivalence of P-stochastic convergence and P-almost convergence by the property of the probability distribution P to be purely atomic and concentrated on a countable number of pairwise disjoint P-atoms (cf. [1], p. 68), it is proved that P-stochastic resp. P-almost convergence is equivalent
D Plachky
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The topology of almost uniform convergence [PDF]
Pacific Journal of Mathematics, 1959 set S into a locally convex linear topological space F. Then a subset U of &(S, F) has property β over a subset A of S if it satisfies the following condition: for some neighborhood V of 0 in F it is true that for each finite subset {f19 ° ,/fc} of %>*(S, F) ~ U there is a finite subset {xlf x2, , xn] of A and a finite set of positive numbers {alf a2, •
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Failure of almost uniform convergence for noncommutative martingales
Probability Theory and Related Fields7 pages, final version incorporating referees' comments, to appear in Probability Theory and Related ...
Eric Ricard
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Almost uniform convergence in the Wiener–Wintner ergodic theorem [PDF]
Studia Mathematica, 2021 Summary: We extend almost everywhere convergence in the Wiener-Wintner ergodic theorem to a generally stronger almost uniform convergence and, in the case of infinite measure, we present a universal space for which this convergence holds. We then extend this result to the case with Besicovitch weights.
Chilin, Vladimir, Litvinov, Semyon
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Almost uniform convergence in the noncommutative Dunford–Schwartz ergodic theorem [PDF]
Comptes Rendus. Mathématique, 2017 This article gives an affirmative solution to the problem whether the ergodic Cesáro averages generated by a positive Dunford–Schwartz operator in a noncommutative space L
Chilin, Vladimir, Litvinov, Semyon
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Almost Uniform Convergence Versus Pointwise Convergence [PDF]
Proceedings of the American Mathematical Society, 1960 In many an example of a function space whose topology is the topology of almost uniform convergence it is observed that the same topology is obtained in a natural way by considering pointwise convergence of extensions of the functions on a larger domain [1; 2].
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Noncommutative strong maximals and almost uniform convergence in several directions [PDF]
Forum of Mathematics, Sigma, 2020 AbstractOur first result is a noncommutative form of the Jessen-Marcinkiewicz-Zygmund theorem for the maximal limit of multiparametric martingales or ergodic means. It implies bilateral almost uniform convergence (a noncommutative analogue of almost everywhere convergence) with initial data in the expected Orlicz spaces.
José M. Conde-Alonso +2 more
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Almost Sure Convergence of Uniform Transport Processes to Brownian Motion
The Annals of Mathematical Statistics, 1971 Let $x_n(t)$ be the position of a particle in one dimension that switches between uniform velocities $+n$ and $-n$ at the jump times of a Poisson process with intensity $n^2$. In this note are constructed realizations of the processes $x_n(t)$ that converge almost surely to Brownian motion, uniformly on the unit time interval.
Griego, Richard J. +2 more
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Almost uniform convergence in Wiener-Wintner ergodic theorem
, 2020 We extend almost everywhere convergence in Wiener-Wintner ergodic theorem for $σ$-finite measure to a generally stronger almost uniform convergence and present a larger, universal, space for which this convergence holds. We then extend this result to the case with Besicovitch weights.
Chilin, Vladimir, Litvinov, Semyon
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