Lasota-Yorke凸映射的相关性衰减和记忆丢失

Pub Date : 2021-06-03 DOI:10.1080/14689367.2021.1924622

Hongfei Cui

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引用次数: 0

摘要

对于区间上的一类分段凸映射f，我们证明了f具有唯一的绝对连续不变概率测度μ，具有指数衰减的相关性，并给出了速率的显式上界。此外，我们还证明了由分段凸映射组成的序列动力系统的指数记忆损失。

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Decay of correlations and memory loss for Lasota–Yorke convex maps

For a class of piecewise convex maps f on the interval , we show that f has a unique absolutely continuous invariant probability measure μ with exponential decay of correlations, and we also present the explicit upper bounds on the rate. Moreover, we show the exponential loss of memory for a sequential dynamical system consisting of piecewise convex maps.

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