Functional Norms for Young Towers

Authors

Mark Demers, Fairfield UniversityFollow

Document Type

Article

Article Version

Publisher's PDF

Publication Date

10-2010

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.

Comments

Copyright 2010 by Cambridge University Press. Original published version can be found at DOI: 10.1017/S0143385709000534

Publication Title

Ergodic Theory and Dynamical Systems

Repository Citation

Demers, Mark, "Functional Norms for Young Towers" (2010). Mathematics Faculty Publications. 9.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/9

Published Citation

M. Demers, Functional Norms for Young Towers, Ergodic Theory and Dynamical Systems. 30 (Part 5), 1371-1398.

DOI

10.1017/S0143385709000534

Peer Reviewed