Low-temperature phase transitions in the quadratic family

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dc.contributor.authorCoronel, Daniel
dc.contributor.authorRivera-Letelier, Juan
dc.date.accessioned2025-01-24T00:08:03Z
dc.date.available2025-01-24T00:08:03Z
dc.date.issued2013
dc.description.abstractWe 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. (c) 2013 Elsevier Inc. All rights reserved.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.aim.2013.08.008
dc.identifier.eissn1090-2082
dc.identifier.issn0001-8708
dc.identifier.urihttps://doi.org/10.1016/j.aim.2013.08.008
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/101943
dc.identifier.wosidWOS:000325739900013
dc.language.isoen
dc.pagina.final494
dc.pagina.inicio453
dc.revistaAdvances in mathematics
dc.rightsacceso restringido
dc.subjectQuadratic family
dc.subjectThermodynamic formalism
dc.titleLow-temperature phase transitions in the quadratic family
dc.typeartículo
dc.volumen248
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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