Results 151 to 160 of about 15,674 (187)

The ergodic Hilbert transform for Cesaro bounded flows

open access: yesThe ergodic Hilbert transform for Cesaro bounded flows
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Lower bounds for ergodic averages

Ergodic Theory and Dynamical Systems, 2002
For any measure-preserving map \(T\) on a probability space \((X,\mu)\), and any measurable set \(A\) with \(\mu(A)\geq a\), it is shown that the average \(N^{-1}\sum_{j=0}^{N-1}\mu(A\cap T^{-j}A)\) is at least \(\sqrt{a^2+(1-a)^2}+a-1\). Examples are constructed to show this is sharp. The method of proof is combinatorial.
openaire   +1 more source

Subsequence bounded rational ergodicity of rank-one transformations

Dynamical Systems, 2014
We show that all rank-one transformations are subsequence boundedly rationally ergodic, and that there exist rank-one transformations that are not weakly rationally ergodic.
Francisc Bozgan   +4 more
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Rational ergodicity, bounded rational ergodicity and some continuous measures on the circle

Israel Journal of Mathematics, 1979
Two ratio limit concepts for transformations preserving infinite measures, rational ergodicity and bounded rational ergodicity, are discussed and compared. The concept of rational ergodicity is used to construct some continuous measures on the circle, which show that the exceptional set in the weak mixing theorem may be rather large.
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Ergodicity bounds for birth-death processes with particularities

AIP Conference Proceedings, 2016
We introduce an inhomogeneous birth-death process with birth rates λk(t), death rates µk(t), and possible transitions to/from zero with rates βk(t), rk(t) respectively, and obtain ergodicity bounds for this process.
Alexander I. Zeifman   +7 more
openaire   +1 more source

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