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UID:DSC-4842
DTSTART;TZID=Europe/Berlin:20130612T170000
SEQUENCE:1363179663
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20130612T180000
URL:https://www.dresden-science-calendar.de/calendar/de/detail/4842
LOCATION:TUD Willers-Bau\, Zellescher Weg 12-1401069 Dresden
SUMMARY:Downarowicz: Information theory for random dynamics
CLASS:PUBLIC
DESCRIPTION:Speaker: Prof. Dr. Tomasz Downarowicz \nInstitute of Speaker: W
 roclaw University of Technology\, Institute of Mathematics and Computer Sc
 ience \nTopics:\nMathematik\n Location:\n  Name: TUD Willers-Bau (WIL C 30
 7)\n  Street: Zellescher Weg 12-14\n  City: 01069 Dresden\n  Phone: \n  Fa
 x: \nDescription: By \"random dynamics\" we will mean the action of a Mark
 ov (also called doubly stochstic) operator\, which is a straightforward ge
 neralization of a measure-preserving transformation. In a classical dynami
 cal system a point goes to a point. Here a point goes to a probability dis
 tribution (so called transition probability). Although entropy of such \"a
 ctions\" has been defined long ago and in many ways (and all these ways we
 re later shown to give the same resulting entropy value)\, this was done w
 ithout any notion of information function. So the \"information theory for
  Markov operators\" practically did not exist. For instance\, there was no
  analog of the Shannon-McMillan-Breiman theorem.   There are new developme
 nts in this direction obtained recently by Bartek Frej and Paulina Frej. I
 n my talk I will speak just about that: I will describe how information fu
 nction is defined for Markov operators and I will state the analog of the 
 Shannon-McMillan theorem.  
DTSTAMP:20260609T034223Z
CREATED:20130313T110053Z
LAST-MODIFIED:20130313T130103Z
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