Lasota-Yorke凸映射的相关性衰减和记忆丢失

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal 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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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences