BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marcel Mroczek DTSTART:20210108T091500Z DTEND:20210108T104500Z DTSTAMP:20260423T021932Z UID:DSSUJ/19 DESCRIPTION:Title: T he Besicovitch Metric on the Space of G -invariant Ergodic Measures\nb y Marcel Mroczek as part of Dynamical systems seminar at the Jagiellonian University\n\nLecture held in 1016.\n\nAbstract\nGiven two sequences over a finite alphabet\, one can measure the distance between them by looking h ow their asymptotic behaviours differ. This gives rise to dynamically gene rated Besicovitch pseudometric. I will talk about the generalisation of th is concept to actions of countable amenable groups. I will show that it in duces a metric on the space of ergodic measures invariant under the action \, and that in the case of the shift space\, entropy function is continuou s with respect to this metric. As an application of these results\, I will show that if the considered group is in addition residually finite\, then uniquely ergodic measures are entropy dense in the set of totally ergodic measures. This is a joint work with Martha Łącka.\n LOCATION:https://researchseminars.org/talk/DSSUJ/19/ END:VEVENT END:VCALENDAR