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20022013
most citedCluster expansion for abstract polymer models. New bounds from an old approach

80 citations

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Showing 2008 · math.PRShow all

3 papers · 2 filters

math.PR2008★ 37 cited

Sharp error terms for return time statistics under mixing conditions

Miguel Abadi, Nicolas Vergne

We describe the statistics of repetition times of a string of symbols in a stochastic process. Denote by T(A) the time elapsed until the process spells the finite string A and by S…

math.PR2008★ 22 cited

Comparison between criteria leading to the weak invariance principle

Olivier Durieu, Dalibor Volný

The aim of this paper is to compare various criteria leading to the central limit theorem and the weak invariance principle. These criteria are the martingale-coboundary decomposit…

math.PR2008★ 14 cited

Independence of Four Projective Criteria for the Weak Invariance Principle

Olivier Durieu

Let be a regular stationary process for a given filtration. The weak invariance principle holds under the condition (see Hanna…