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math.DS2014
Concentration inequalities for sequential dynamical systems of the unit interval
Romain Aimino, Jérôme Rousseau
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 c…
math.DS2014★ 3 cited
Polynomial loss of memory for maps of the interval with a neutral fixed point
R. Aimino, H. Hu, M. Nicol +2
We give an example of a sequential dynamical system consisting of intermittent-type maps which exhibits loss of memory with a polynomial rate of decay. A uniform bound holds for th…