The Dolgopyat inequality in bounded variation for non-Markov maps

Abstract

Let [Formula: see text] be a (non-Markov) countably piecewise expanding interval map satisfying certain regularity conditions, and [Formula: see text] the corresponding transfer operator. We prove the Dolgopyat inequality for the twisted operator [Formula: see text] acting on the space BV of functions of bounded variation, where [Formula: see text] is a piecewise [Formula: see text] roof function.