Results 11 to 20 of about 15,674 (187)
Ergodic theorems for Cesàro bounded operators in L1
Journal of Mathematical Analysis and Applications, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francisco J. Martín-Reyes +1 more
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Mathematics, 2020 The problem considered is the computation of the (limiting) time-dependent performance characteristics of one-dimensional continuous-time Markov chains with discrete state space and time varying intensities. Numerical solution techniques can benefit from
Alexander Zeifman +4 more
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On the bounded cohomology of ergodic group actions [PDF]
Journal d'Analyse Mathématique, 2020 In this note we show existence of bounded, transitive cocycles over a transitive action of a finitely generated group, and bounded, ergodic cocycles over an ergodic, probability preserving action of $\Bbb Z^d$.
Aaronson, Jon, Weiss, Benjamin
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Multiparticle Localization at Low Energy for Multidimensional Continuous Anderson Models
Advances in Mathematical Physics, 2020 We study the multiparticle Anderson model in the continuum and show that under some mild assumptions on the random external potential and the inter-particle interaction, for any finite number of particles, the multiparticle lower spectral edges are ...
Trésor Ekanga
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Ergodic properties of bounded 𝐿₁-operators [PDF]
Proceedings of the American Mathematical Society, 1973 Individual ergodic theorems for bounded L 1 {L_1} -operators are proved in §1, and the problem of existence of positive invariant functions for positive L 1 {L_1} -operators is considered in §2. A decomposition theorem similar to that of Sucheston [
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Growth orders and ergodicity for absolutely Cesàro bounded operators [PDF]
Linear Algebra and its Applications, 2019 In this paper, we extend the concept of absolutely Ces ro boundedness to the fractional case. We construct a weighted shift operator belonging to this class of operators, and we prove that if $T$ is an absolutely Ces ro bounded operator of order $ $ with $0 1$, then $\|T^{n}\|= O(n)$. We apply such results to get stability properties for the Ces ro
Luciano Abadias, Antonio Bonilla
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Fluctuation bounds for ergodic averages of amenable groups [PDF]
Bulletin of the London Mathematical Society, 2021 We study fluctuations of ergodic averages generated by actions of amenable groups. In the setting of an abstract ergodic theorem for locally compact second countable amenable groups acting on uniformly convex Banach spaces, we deduce a highly uniform bound on the number of fluctuations of the ergodic average for a class of F lner sequences satisfying ...
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Quantitative convergence rates for sub-geometric Markov chains [PDF]
, 2014 We provide explicit expressions for the constants involved in the characterisation of ergodicity of sub-geometric Markov chains. The constants are determined in terms of those appearing in the assumed drift and one-step minorisation conditions.
Andrieu, Christophe +2 more
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DIFFERENCES OF ERGODIC AVERAGES FOR CESÀRO BOUNDED OPERATORS
The Quarterly Journal of Mathematics, 2007 Summary: We prove that the weighted differences of ergodic averages, induced by a Cesàro bounded, strongly continuous, one-parameter group of positive, invertible, linear operators on \(L^{p}\), \(1 < p < {\infty}\), converge almost every where and in the \(L^{p}\)-norm.
Bernardis-Medici, Ana Lucía +4 more
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Bounds for a nonlinear ergodic theorem for Banach spaces [PDF]
Ergodic Theory and Dynamical Systems, 2022 AbstractWe extract quantitative information (specifically, a rate of metastability in the sense of Terence Tao) from a proof due to Kazuo Kobayasi and Isao Miyadera, which shows strong convergence for Cesàro means of non-expansive maps on Banach spaces.
ANTON FREUND, ULRICH KOHLENBACH
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