Renormalisation-induced phase transitions for unimodal maps
Dynamical Systems
2009-02-18 v2
Abstract
The thermodynamical formalism is studied for renormalisable maps of the interval and the natural potential . Multiple and indeed infinitely many phase transitions at positive can occur for some quadratic maps. All unimodal quadratic maps with positive topological entropy exhibit a phase transition in the negative spectrum.
Keywords
Cite
@article{arxiv.0712.3023,
title = {Renormalisation-induced phase transitions for unimodal maps},
author = {Neil Dobbs},
journal= {arXiv preprint arXiv:0712.3023},
year = {2009}
}
Comments
14 pages, 2 figures. Revised following comments of referees. First page is blank