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arxiv: 1406.3213 · v3 · pith:MQRA2W6Bnew · submitted 2014-06-12 · 🧮 math.DS · math.PR

Concentration inequalities for sequential dynamical systems of the unit interval

Romain Aimino , J\'er\^ome Rousseau This is my paper
classification 🧮 math.DS math.PR
keywords betasystemsconcentrationdynamicalintervalsequentialunitassumption
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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.

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