Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
复制标题
DOI：
10.1088/1361-6544/acd220
复制
发表时间：
2022-05
期刊：
影响因子：
1.7
通讯作者：
José F. Alves;Wael Bahsoun;Marks Ruziboev;P. Varandas
中科院分区：
文献类型：
--
作者：
José F. Alves;Wael Bahsoun;Marks Ruziboev;P. Varandas
在这篇文章中，我们研究随机塔映射驱动的遍历自同构。我们证明淬火指数相关衰减塔地图承认指数尾巴。我们的技术是基于构建合适的锥的功能，定义在随机塔，合同相对于希尔伯特度量下适当的转移算子的作用。我们应用我们的结果获得淬火指数衰减的几个非id随机动力系统，包括小随机扰动的Lorenz映射和公理A吸引子。
In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our technique is based on constructing suitable cones of functions, defined on the random towers, which contract with respect to the Hilbert metric under the action of appropriate transfer operators. We apply our results to obtain quenched exponential correlations decay for several non-iid random dynamical systems including small random perturbations of Lorenz maps and Axiom A attractors.