Fractional Poisson equations and ergodic theorems for fractional coboundaries

By Y. Derriennic, Michael Lin. 2001

96 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a2a15976805ff5e6802f80deefaed5c13e91ea1b

How researchers see this paper

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In Applied Mathematics

1. Y. Derriennic
2. Michael Lin

In Mathematical Physics

1. Y. Derriennic
2. Michael Lin
3. C. Cuny
4. Magda Peligrad
5. Sergey Utev

Citations in the corpus

• The central limit theorem for Markov chains with normal transition operators, started at a point (2001, methodology): “k=0 f◦τ k . By Proposition 3.8 of [ DL2 ] we know that this a.e.”
• The central limit theorem for Markov chains started at a point (2003, background): “It can be shown that the condition [MW] implies f ∈ √ I − PL 2 (see [ DL2 ] for the general definition of √ I − P ). The CLT under Pm, for f satisfying this latter”