The statistical stability of equilibrium states for interval maps

• Type: Article in International Scientific Journal
• Date: 2009

Authors

freitas, jm (Author) FCUP; todd, m (Author) Other

Journal

Title: Nonlinearity

Vol. 22

Pages: 259-281

ISSN: 0951-7715

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 12 Citations

ISI Web of Science

Scopus - 6 Citations

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics > Chaos theory

Other information

Authenticus ID: P-003-NM2

DOI: 10.1088/0951-7715/22/2/002

Abstract (EN): We consider families of transitive multimodal interval maps with polynomial growth of the derivative along the critical orbits. For these maps Bruin and Todd have shown the existence and uniqueness of equilibrium states for the potential phi(t) : x bar -> -t log vertical bar Df(x)vertical bar for t close to 1. We show that these equilibrium states vary continuously in the weak* topology within such families. Moreover, in the case t = 1, when the equilibrium states are absolutely continuous with respect to Lebesgue, we show that the densities vary continuously within these families.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23