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SUMMARY:Math Seminars: Dynamics Day
DTSTART;VALUE=DATE-TIME:20260608T080000Z
DTEND;VALUE=DATE-TIME:20260608T120000Z
DTSTAMP;VALUE=DATE-TIME:20260817T192308Z
UID:indico-event-11368@ictp.it
DESCRIPTION:\n		10:00 - 10:30 Jernej Činč (University of Maribor and ICT
 P)\n\n	Dynamics on FencesAbstract:\n	Homeomorphisms of the Cantor set play
  a fundamental role in topology\, dynamical systems\, and descriptive set 
 theory\, where they are studied from different perspectives. Recently\, va
 rious properties of so-called fence-like objects have attracted attention.
  Several recent works investigate both the structure of these spaces and t
 he dynamics of homeomorphisms defined on them. In this work\, we develop a
  general technique that allows one to transfer—or lift—the dynamics of
  a given homeomorphism of the Cantor set to a homeomorphism of a fence of 
 the types described above. This is joint work with Udayan B. Darji (Univer
 sity of Louisville) and Benjamin Vejnar (Charles University).\n	 \n\n		10
 :35 - 11:05 Rubio Gunawan (SISSA and ICTP)\n\n	Smooth Circle Covering with
  a Physical Measure on a Hyperbolic Repelling Fixed PointAbstract:\n	We co
 nstruct an example of a smooth (C-infinity) circle covering map topologica
 lly conjugate to the doubling map\, such that it has a physical measure su
 pported on a hyperbolic repelling fixed point. A key technical step is a r
 ealization method of independent interest\, which gives a canonical way to
  construct a full branch map given its induced map.\n	 \n\n		11:05 - 11:1
 5 Coffee Break\n\n	 \n\n		11:15 - 12:00 Yakov Pesin (Pennsylvania State U
 niversity)\n\n	Is the set of Birkhoff generic points big?Abstract:\n	By th
 e classical Birkhoff Ergodic Theorem\, given a homeomorphism of a compact 
 metric space and a continuous function\, the set of Birkhoff generic point
 s of this function has full measure with respect to any invariant measure 
 and hence\, it is “big” from the measure-theoretical point of view. Ho
 wever\, the situation becomes more complicated (and interesting) if we use
  other characteristics to “measure” this set such as its Hausdorff dim
 ension and its topological entropy. I will discuss some well-known and les
 s-known recent results in this direction. I will also consider the topolog
 ical structure of this set and illustrate that under some mild and natural
  conditions this set is of the 1-st Baire category and hence is “small
 ” from the topological point of view.\n	 \n\n	To attend via Zoom\, plea
 se register here:https://zoom.us/meeting/register/lh0rNHAFRSWryeuWgOZ1Rw\n
 \n	 \n\n//indico.ictp.it/event/11368/
LOCATION:ICTP Leonardo Building - Lecture Room D
URL://indico.ictp.it/event/11368/
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