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Sharp Polynomial Estimates for the Decay of Correlations by Gouezel, Sebastien is a scholarly article available to read on EtoBox.

What is Sharp Polynomial Estimates for the Decay of Correlations about?

We generalize a method developed by Sarig to obtain polynomial lower bounds for correlation functions for maps with a countable Markov partition. A consequence is that LS Young's estimates on towers are always optimal. Moreover, we show that, for functions with zero average, the decay rate is better, gaining a factor 1/n. This implies a Central Limit Theorem in contexts where it was not expected, e.g. x+Cx^(1+\alpha) with 1/2 < \alpha < 1. The method is based on a general result on renewal sequences of operator, and gives an asymptotic estimate up to any precision of such operators.

Author

Gouezel, Sebastien

Published

2002

Language

EN