Open Conformal Systems and Perturbations of Transfer Operators
Open Conformal Systems and Perturbations of Transfer Operators
复制标题
开放共形系统和传递算子的扰动
DOI：
10.1007/978-3-319-72179-8
复制
发表时间：
2018
影响因子：
1
通讯作者：
M. Urbanski
中科院分区：
文献类型：
--
作者：
M. Pollicott;M. Urbanski
这本书的重点是开放共形动力系统对应的逃逸点通过一个开放的欧几里德球。最终的目标是了解逃逸率的渐近行为，因为球的半径趋于零。在双曲共形系统的情况下，许多作者已经解决了这个问题。在这本书中考虑的共形映射要一般得多，相应地，分析也更复杂。
The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. In the case of hyperbolic conformal systems this has been addressed by various authors. The conformal maps considered in this book are far more general, and the analysis correspondingly more involved.