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SUMMARY:Paulo Varandas (UFBA/Porto)
DTSTART:20201120T091500Z
DTEND:20201120T104500Z
DTSTAMP:20260423T022034Z
UID:DSSUJ/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/15/">P
 hase transitions and appearance of ghost measures</a>\nby Paulo Varandas (
 UFBA/Porto) as part of Dynamical systems seminar at the Jagiellonian Unive
 rsity\n\nLecture held in 1016.\n\nAbstract\nThe thermodynamic formalism fo
 r transitive uniformly\nhyperbolic dynamics is nowadays well understood an
 d\, among other\naspects\, it is worth mentioning that regular potentials 
 (meaning\nHolder continuous) are so that the pressure function is differen
 tiable\nand admit unique equilibrium states. The situation changes drastic
 ally\nin simple examples beyond uniform hyperbolicity\, as the case of the
 \nManneville-Pomeau maps\, where different kinds of phase transitions\napp
 ear due to the phenomenon of intermittency of an indifferent fixed\npoint.
  In this talk I will focus on this family and discuss a new\naspect of the
  phase transitions\, namely the appearance of finitely\nadditive absolutel
 y continuous invariant measures.In particular\, the\nsecond-order phase tr
 ansition can be detected as a first-order phase\ntransition for an extende
 d pressure function. This is part of an\nongoing work with A. Castro (UFBA
 ) and L. Cioletti (UnB).\n
LOCATION:https://researchseminars.org/talk/DSSUJ/15/
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