Citation
C. Maes et al., Intermittency and weak Gibbs states, NONLINEARIT, 13(5), 2000, pp. 1681-1698
Citations number
38
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
09517715
→ ACNP
Volume
13
Issue
5
Year of publication
2000
Pages
1681 - 1698
Database
ISI
SICI code
0951-7715(200009)13:5<1681:IAWGS>2.0.ZU;2-W
Abstract
We show that the natural invariant state for Manneville-Pomeau maps can be
characterized as a weakly Gibbsian state. In this way we make a connection
between the study of intermittency via non-uniformly expanding maps and the
thermodynamic formalism for nonuniformly convergent interactions. AMS clas
sification scheme numbers: 37C40. 82B20.