High-order phase transitions in the quadratic family
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Archivos
Fecha
2015
Autores
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
ISSN de la revista
Título del volumen
Editor
European Mathematical Society Publishing House
Nombre de Curso
Licencia CC
Atribución 4.0 Internacional (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/deed.es
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. © 2015 European Mathematical Society.
Notas
Indexación: Scopus
Palabras clave
Phase transition, Quadratic family, Thermodynamic formalism
Citación
Journal of the European Mathematical SocietyOpen AccessVolume 17, Issue 11, Pages 2725 - 27612015
DOI
10.4171/JEMS/569