The Dolgopyat inequality in \BV for non-Markov maps

2016/04/24 by Henk Bruin, Bruin, Henk, Dalia Terhesiu +1
Economics, Econometrics and Finance · Mathematics · #37D25 37C30 37D50 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Dynamics and Fractals #Stochastic processes and financial applications #math.DS #msc:37C30 #msc:37D25 #msc:37D50

paper · pdf · doi:10.48550/arxiv.1604.07013

Minor corrections, short example section added

openalex publication_date 2016/04/24 · arxiv created 2017/01/10 · arxiv updated 2017/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let F be a (non-Markov) countably piecewise expanding interval map satisfying certain regularity conditions, and Ł the corresponding transfer operator. We prove the Dolgopyat inequality for the twisted operator Ł_s(v) = Ł_s(e^sφv) acting on the space BV of functions of bounded variation, where φ is a piecewise C¹ roof function.

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