Romain Aimino, Jérôme Rousseau
Published 2014-06-12, updated 2015-01-29Version 2
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 $\beta$-transformations, with all $\beta$ lying in a neighborhood of a fixed $\beta_{\star} > 1$ and systems satisfying a covering type assumption.
Wasserstein convergence rates in the invariance principle for sequential dynamical systems
Physical measures for nonlinear random walks on interval
On the derivative of the α-Farey-Minkowski function
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