BEGIN:VCALENDAR
VERSION:2.0
METHOD:PUBLISH
CALSCALE:GREGORIAN
PRODID:-//WordPress - MECv7.32.0//EN
X-ORIGINAL-URL:https://www.cmm.uchile.cl/
X-WR-CALNAME:CMM
X-WR-CALDESC:Centro de Modelamiento Matemático
X-WR-TIMEZONE:America/Santiago
BEGIN:VTIMEZONE
TZID:America/Santiago
X-LIC-LOCATION:America/Santiago
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0400
TZNAME:-04
DTSTART:20260531T044025
END:STANDARD
END:VTIMEZONE
REFRESH-INTERVAL;VALUE=DURATION:PT1H
X-PUBLISHED-TTL:PT1H
X-MS-OLK-FORCEINSPECTOROPEN:TRUE
BEGIN:VEVENT
CLASS:PUBLIC
UID:MEC-9b88f2b70675eda29a26e31d70b1b3fe@cmm.uchile.cl
DTSTART;TZID=America/Santiago:20260525T173000
DTEND;TZID=America/Santiago:20260525T183000
DTSTAMP:20260526T180158Z
CREATED:20260526
LAST-MODIFIED:20260526
PRIORITY:5
SEQUENCE:1
TRANSP:OPAQUE
SUMMARY:Santiago Dynamical Systems Seminar: “Generic invariant measures beyond specification”
DESCRIPTION:Abstract: \nWhich properties hold for a generic invariant measure of a continuous map T from a compact metric space X to itself? We prove the genericity of rank one measures under a relaxed specification hypothesis (the vague specification or the approximate product property), sharpening Sigmund’s classical genericity theorem. The method applies, in particular, to certain minimal and proximal systems. As a by-product, every measure produced by the Gorodetski–Ilyashenko–Kleptsyn–Nalsky construction of non-uniformly hyperbolic ergodic invariant measures is rank one.\nThe key new tools are an approximation scheme for the natural extension of T, inspired by the classical approximation of a subshift by a descending sequence of shifts of finite type, and notions of convergence of invariant measures generalising Ornstein’s d-bar metric and Feldman’s f-bar metric. Outside the symbolic setting, these notions of convergence are new and allow several classical results from the theory of d-bar and f-bar to be transferred to general topological dynamical systems.\nBased on joint work with M. E. Can, J. Konieczny, M. Kupsa; with D. Buldağ and B. Jacelon; and with M. Łącka and A. Trilles.\nSpeaker: Dominik Kwietniak (Jagiellonian University)\nVenue: Room 2, Faculty of Mathematics, Pontificia Universidad Católica\n
URL:https://www.cmm.uchile.cl/events/santiago-dynamical-systems-seminar-generic-invariant-measures-beyond-specification/
CATEGORIES:Seminarios
END:VEVENT
END:VCALENDAR