High-order phase transitions in the quadratic family

dc.contributor.author	Coronel, Daniel
dc.contributor.author	Rivera-Letelier, Juan
dc.date.accessioned	2023-08-22T21:47:11Z
dc.date.available	2023-08-22T21:47:11Z
dc.date.issued	2015
dc.description	Indexación: Scopus	es
dc.description.abstract	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.	es
dc.description.uri	https://ems.press/journals/jems/articles/13432
dc.identifier.citation	Journal of the European Mathematical SocietyOpen AccessVolume 17, Issue 11, Pages 2725 - 27612015	es
dc.identifier.doi	10.4171/JEMS/569
dc.identifier.issn	1435-9855
dc.identifier.uri	https://repositorio.unab.cl/xmlui/handle/ria/52730
dc.language.iso	en	es
dc.publisher	European Mathematical Society Publishing House	es
dc.rights.license	Atribución 4.0 Internacional (CC BY 4.0)
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/deed.es
dc.subject	Phase transition	es
dc.subject	Quadratic family	es
dc.subject	Thermodynamic formalism	es
dc.title	High-order phase transitions in the quadratic family	es
dc.type	Artículo	es

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