Concentration inequalities for sequential dynamical systems of the unit interval

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 β-transformations, with all β lying in a neighborhood of a fixed β > 1 and systems satisfying a covering type assumption.
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Romain Aimino, Jérôme Rousseau. Concentration inequalities for sequential dynamical systems of the unit interval. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2015, ⟨10.1017/etds.2015.19⟩. ⟨hal-01258889⟩

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