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PRODID:-//Memento EPFL//
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SUMMARY:Mathematics Colloquium
DTSTART:20230427T161500
DTEND:20230427T171500
DTSTAMP:20260407T195019Z
UID:b18adaddcb1c1ba954ebe9855553c31d92a4d70f9849f44bb3f4fd6d
CATEGORIES:Conferences - Seminars
DESCRIPTION:Viviane Baladi - CNRS\, Sorbonne Université & ITS-ETH Zürich
 \nTitle : \nErgodic properties of Sinai billiards\n\nAbstract :\nSinai bil
 liards (or dispersive billiards) are (discrete or continuous time) dynamic
 al systems having a simple and natural definition\, but offering challengi
 ng technical difficulties. These difficulties are due to the presence of s
 ingularities\, where derivatives blow up. The basic results of the theory 
 were developed nearly 60 years ago by Sinai (ergodicity and mixing of the 
 "physical" invariant measure).\nVery recently\, we were able to adapt func
 tional analytic tools (Ruelle transfer operators acting on anisotropic Ban
 ach spaces) to study in particular the properties of other invariant measu
 res. I will briefly describe these tools\, and I will present some recent 
 results\, ending with the construction of the measure of maximal entropy o
 f generic finite horizon Sinai billiards flows.\n(Joint work with J. Carra
 nd and M. Demers.)\n\nRegristration is required : https://forms.gle/KcUAkJ
 zHYj8d7veH6\n 
LOCATION:CM 1 5 https://plan.epfl.ch/?room==CM%201%205
STATUS:CONFIRMED
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