Statistical Stability for Equilibrium States

• Type: Article in International Conference Proceedings Book
• Date: 2011

Authors

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

Conference proceedings International

Title: Springer Proceedings in Mathematics

Pages: 317-321

International Conference DYNA 2008

Braga, PORTUGAL, SEP 08-12, 2008

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-WJ0

DOI: 10.1007/978-3-642.14788-3_24

Abstract (EN): We consider multimodal interval maps with at least polynomial growth of the derivative along the critical orbit. For these maps Bruin and Todd showed the existence and uniqueness of equilibrium states for the potential phi(t) : x -> -tlog vertical bar Df(x)vertical bar, for t close to I. We show that for certain families of this type of maps the equilibrium states vary continuously in the weak* topology, when we perturb the map within the respective family. Moreover, in the case t = 1, when the equilibrium states are absolutely continuous with respect to Lebesgue, we show that the densities also vary continuously in the L-1 - norm.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 5