Low-temperature phase transitions in the quadratic family

Daniel Coronel, Juan Rivera-Letelier

Resultado de la investigación: Article

10 Citas (Scopus)

Resumen

We give the first example of a quadratic map having a phase transition after the first zero of the geometric pressure function. This implies that several dimension spectra and large deviation rate functions associated to this map are not (expected to be) real analytic, in contrast to the uniformly hyperbolic case. The quadratic map we study has a non-recurrent critical point, so it is non-uniformly hyperbolic in a strong sense.

Idioma originalEnglish
Páginas (desde-hasta)453-494
Número de páginas42
PublicaciónAdvances in Mathematics
Volumen248
DOI
EstadoPublished - 25 nov 2013

Huella dactilar

Quadratic Map
Phase Transition
Rate Function
Large Deviations
Critical point
Imply
Zero
Family

ASJC Scopus subject areas

  • Mathematics(all)

Citar esto

Coronel, Daniel ; Rivera-Letelier, Juan. / Low-temperature phase transitions in the quadratic family. En: Advances in Mathematics. 2013 ; Vol. 248. pp. 453-494.
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Low-temperature phase transitions in the quadratic family. / Coronel, Daniel; Rivera-Letelier, Juan.

En: Advances in Mathematics, Vol. 248, 25.11.2013, p. 453-494.

Resultado de la investigación: Article

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