Functional norms for Young towers
Functional norms for Young towers
复制标题
年轻塔的功能规范
DOI：
10.1017/s0143385709000534
复制
发表时间：
2009
影响因子：
0.9
通讯作者：
Mark F. Demers
中科院分区：
文献类型：
--
作者：
Mark F. Demers
摘要：我们引入了双曲杨塔的功能规范，这使我们能够直接研究全塔上的传递算子。通过消除对这种情况下常用的二次扩展塔的需要，这种方法简化并扩展了对此类马尔可夫扩展及其构建的底层系统的分析。作为一个例子，我们用统一的速率函数证明了一大类非不变度量的大偏差估计，并展示了如何将它们转换为底层系统。
Abstract We introduce functional norms for hyperbolic Young towers which allow us to directly study the transfer operator on the full tower. By eliminating the need for secondary expanding towers commonly employed in this context, this approach simplifies and expands the analysis of this class of Markov extensions and the underlying systems for which they are constructed. As an example, we prove large-deviation estimates with a uniform rate function for a large class of non-invariant measures and show how to translate these to the underlying system.
DOI：
10.1090/s0002-9947-08-04520-0
发表时间：
2008-01-01
影响因子：
1.3
作者：
Melbourne, Ian;Nicol, Matthew
通讯作者：
Nicol, Matthew