The Dolgopyat inequality in bounded variation for non-Markov maps
Stochastics and Dynamics
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Let F be a (non-Markov) countably piecewise expanding interval map satisfying certain regularity conditions, and Ł˜Ł̃ the corresponding transfer operator. We prove the Dolgopyat inequality for the twisted operator Ł˜s(v)=Ł˜s(esφv)Ł̃s(v)=Ł̃s(esφv) acting on the space BV of functions of bounded variation, where φφ is a piecewise C1C1 roof function.
We are also grateful for the support the Erwin Schrodinger Institute in Vienna, where this paper was completed.
This is the author accepted manuscript. The final version is available from World Scientific via the DOI in this record.
Vol. 18 (2), article 1850006