BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:6028@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20220531T110000 DTEND;TZID=Europe/Paris:20220531T120000 DTSTAMP:20241120T200721Z URL:https://www.i2m.univ-amu.fr/evenements/on-the-topological-entropy-of-b unimovich-stadium-billiard-map/ SUMMARY:Jernej Činč (University of Ostrava\, Czech Republic): On the topo logical entropy of Bunimovich stadium billiard map DESCRIPTION:Jernej Činč: Bunimovich stadium is a convex planar domain who se boundary consists of two semicircles joined by two parallel segments. T he billiard map describes the free motion of a point particle in the inter ior of the stadium with elastic collisions when the particle reaches the b oundary. In this talk I will first review some results concerning the esti mates of topological entropy of the Bunimovich stadium billiard map\, conc entrating mainly on the recent result of Misiurewicz and Zhang who provide d the lower bound of the topological entropy of Bunimovich stadium billiar d map when the length of the parallel sides goes to infinity. Then\, I wil l focus on our work and show how to provide an upper bound of the topologi cal entropy of the Bunimovich stadium billiard map through the use of Cass aigne’s formula. This talk is based on the joint work with Serge Troubet zkoy (Aix-Marseille).\n \; ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2 022/04/Jernej_Cinc.png CATEGORIES:Séminaire,Ernest LOCATION:I2M Luminy - Ancienne BU\, Salle Séminaire2 (RdC)\, 163 Avenue de Luminy\, 13009 Marseille\, France\, X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, 1300 9 Marseille\, France\, ;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - Ancienne B U\, Salle Séminaire2 (RdC):geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:DAYLIGHT DTSTART:20220327T030000 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST END:DAYLIGHT END:VTIMEZONE END:VCALENDAR