Good inducing schemes for uniformly hyperbolic maps

Unpublished notes. Preprint, June 2025

Ian Melbourne and Paulo Varandas


Abstract

These notes are not intended for publication. However, it seemed useful to have the arguments in Section 6 of L.-S. Young, Statistical properties of dynamical systems with some hyperbolicity, Ann. of Math. 147 (1998) 585-650 written in a simplified form, in preparation for the case of flows. One definition is simplified, therefore bypassing an unclear argument.


pdf file