Limit theorems for coupled interval maps
Limit theorems for coupled interval maps
复制标题
耦合区间映射的极限定理
DOI：
--
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
G. Keller
中科院分区：
文献类型：
--
作者：
Jean;S. Gouezel;G. Keller
证明了分段扩张混合区间映射弱耦合格上Lipschitz连续观测量的一个局部极限定理。本文的核心是证明这样一个系统的傅里叶转移算子的谱半径严格小于1。这扩展了[9]中研究普通转移算子的方法。
We prove a local limit theorem for Lipschitz continuous observables on a weakly coupled lattice of piecewise expanding mixing interval maps. The core of the paper is a proof that the spectral radii of the Fourier-transfer operators for such a system are strictly less than 1. This extends the approach of [9] where the ordinary transfer operator was studied.