Concentration inequalities for sequential dynamical systems of the unit interval
Dynamical Systems
2015-02-10 v3 Probability
Abstract
We prove a concentration inequality for sequential dynamical systems of the unit interval enjoying an exponential loss of memory in the BV norm, and we investigate several of its consequences. In particular, this covers compositions of -transformations, with all lying in a neighborhood of a fixed and systems satisfying a covering type assumption.
Cite
@article{arxiv.1406.3213,
title = {Concentration inequalities for sequential dynamical systems of the unit interval},
author = {Romain Aimino and Jérôme Rousseau},
journal= {arXiv preprint arXiv:1406.3213},
year = {2015}
}