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Equilibrium states for interval maps: The potential - t log

Bruin, H and Todd, M (2009) Equilibrium states for interval maps: The potential - t log Annales Scientifiques de l'Ecole Normale Superieure, 42 (4). pp. 559-600.

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Abstract

Let f: I → I be a C 2 multimodal interval map satisfying polynomial growth of the derivatives along critical orbits. We prove the existence and uniqueness of equilibrium states for the potential φ t: x → -tlog \Df(x)\ for t close to 1, and also that the pressure function t → P(φ t) is analytic on an appropriate interval near t = 1. © 2009 Société Mathématique de France.

Item Type: Article
Authors :
NameEmailORCID
Bruin, Hh.bruin@surrey.ac.ukUNSPECIFIED
Todd, MUNSPECIFIEDUNSPECIFIED
Date : 1 July 2009
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:28
Last Modified : 17 May 2017 12:28
URI: http://epubs.surrey.ac.uk/id/eprint/835461

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