High-order phase transitions in the quadratic family

Daniel Coronel, Juan Rivera-Letelier

Resultado de la investigación: Article

3 Citas (Scopus)

Resumen

We give the first example of a transitive quadratic map whose real and complex geometric pressure functions have a high-order phase transition. In fact, we show that this phase transition resembles a Kosterlitz-Thouless singularity: Near the critical parameter the geometric pressure function behaves as x → exp.x-2/ near x D 0, before becoming linear. This quadratic map has a non-recurrent critical point, so it is non-uniformly hyperbolic in a strong sense.

Idioma originalEnglish
Páginas (desde-hasta)2725-2761
Número de páginas37
PublicaciónJournal of the European Mathematical Society
Volumen17
N.º11
DOI
EstadoPublished - 2015

Huella dactilar

Quadratic Map
Phase Transition
Phase transitions
Higher Order
Critical point
Singularity
Family

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Citar esto

Coronel, Daniel ; Rivera-Letelier, Juan. / High-order phase transitions in the quadratic family. En: Journal of the European Mathematical Society. 2015 ; Vol. 17, N.º 11. pp. 2725-2761.
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High-order phase transitions in the quadratic family. / Coronel, Daniel; Rivera-Letelier, Juan.

En: Journal of the European Mathematical Society, Vol. 17, N.º 11, 2015, p. 2725-2761.

Resultado de la investigación: Article

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