Renormalisation-Induced Phase Transitions for Unimodal Maps

@article{Dobbs2009RenormalisationInducedPT,
  title={Renormalisation-Induced Phase Transitions for Unimodal Maps},
  author={N. Dobbs},
  journal={Communications in Mathematical Physics},
  year={2009},
  volume={286},
  pages={377-387}
}
  • N. Dobbs
  • Published 2009
  • Mathematics
  • Communications in Mathematical Physics
The thermodynamical formalism is studied for renormalisable maps of the interval and the natural potential −t log | Df |. Multiple and indeed infinitely many phase transitions at positive t can occur for some quadratic maps. All unimodal quadratic maps with positive topological entropy exhibit a phase transition in the negative spectrum. 
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