Central limit theorems in linear dynamics

2013/04/09 by Frédéric Bayart, Bayart, Frédéric · 1 citation
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #math.DS #math.FA #math.PR

paper · pdf · doi:10.48550/arxiv.1304.2621

arxiv created 2013/04/09 · arxiv updated 2013/04/10

Abstract

Given a bounded operator T on a Banach space X, we study the existence of a probability measure μ on X such that, for many functions f:X→\mathbb K, the sequence (f+…+f∘ T^n-1)/√ n converges in distribution to a Gaussian random variable.

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