An invariance principle for maps with polynomial decay of correlations

Details An invariance principle for maps with polynomial decay of correlations An invariance principle for maps with polynomial decay of correlations

2004-08-13

arxiv.org/abs/math/0408185v1

Comm. Math. Phys. 260 (2005) 1-15

Mathematics

Dynamical Systems

15 pages

Scientific paper

10.1007/s00220-005-1400-z

We give a general method of deriving statistical limit theorems, such as the
central limit theorem and its functional version, in the setting of ergodic
measure preserving transformations. This method is applicable in situations
where the iterates of discrete time maps display a polynomial decay of
correlations.

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