On summability conditions for interval maps

Authors

  • H. Li Henan University

Keywords:

Interval maps, summability condition, backward contracting

Abstract

Consider a map of class \(C^3\) with non-flat critical points and with all periodic points hyperbolic repelling. We show that ``backward contracting condition" implies the summability condition. This result is the converse statement of Bruin et al. [‘Large derivatives, backward contraction and invariant densities for interval maps’, Invent. Math. \(172\) (2008), 509–533]. 10.1017/S0004972713000464

Published

2014-01-27

Issue

Section

Articles