Central limit theorems in linear dynamics

Frédéric Bayart

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arXiv · 1304.2621

Central limit theorems in linear dynamics

Frédéric Bayart

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Abstract

Given a bounded operator $T$ on a Banach space $X$, we study the existence of a probability measure $\mu$ on $X$ such that, for many functions $f:X\to\mathbb K$, the sequence $(f+\dots+f\circ T^{n-1})/\sqrt n$ converges in distribution to a Gaussian random variable.

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BibTeX RIS

Frédéric Bayart. 2013-04-09. Central limit theorems in linear dynamics. https://arxiv.org/abs/1304.2621

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