Equilibrium states for interval maps: the potential -t log|Df|

Henk Bruin, Michael John Todd

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

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 _t:x-t|Df(x)| for t close to 1, and also that the pressure function t P(_t) is analytic on an appropriate interval near t = 1.
Original languageEnglish
Pages (from-to)559-600
Number of pages42
JournalAnnales Scientifiques de l’école Normale Supérieure
Volume42
Issue number4
Publication statusPublished - 2009

Fingerprint

Dive into the research topics of 'Equilibrium states for interval maps: the potential -t log|Df|'. Together they form a unique fingerprint.

Cite this