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SUMMARY:Dominik Kwietniak
DTSTART:20200508T081500Z
DTEND:20200508T094500Z
DTSTAMP:20260423T021752Z
UID:DSSUJ/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/3/">En
 tropy\, f-bar\, and Abramov's formula for the entropy of induced transform
 ations</a>\nby Dominik Kwietniak as part of Dynamical systems seminar at t
 he Jagiellonian University\n\nLecture held in 1016.\n\nAbstract\nRecall th
 at an infinite sequence over a finite alphabet A is\nquasi-regular\, if it
  is a generic point for a (non-necessarily\nergodic) shift-invariant measu
 re. Given a quasi-regular point x in the\nfull shift over A we write h(x) 
 for the Kolmogorov-Sinai entropy of\nthe shift invariant Borel probability
  measure generated by x. We prove\nthat h is uniformly continuous on the s
 et of all quasi-regular points\nendowed with the f-bar (pseudo)distance. W
 e also give an alternative\nproof of Abramov's formula for the entropy of 
 induced transformations.\nThis is a joint work with Tomasz Downarowicz and
  Martha Łącka.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/3/
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