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mbeie_01

Professor David Kerr (Texas A&M University): Entropy and soficity

Donnerstag, 03.11.2011 16:30 im Raum M5
Mathematik und Informatik

In the late 1950s Kolmogorov introduced the concept of entropy into ergodic theory, and since then it has become a pervasive presence in the study of actions of amenable groups. Recently Lewis Bowen showed, quite surprisingly, that one can vastly extend the scope of this classical theory to measure-preserving actions of groups which satisfy a much weaker kind of finite approximation property called soficity. Subsequently Hanfeng Li and I developed a more general and flexible operator-algebraic approach to sofic measure entropy which also yields a topological version and a variational principle relating the two. I will describe all of these developments and discuss some key examples that establish a second connection to operator algebras.



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Angelegt am Freitag, 14.10.2011 07:46 von mbeie_01
Geändert am Dienstag, 25.10.2011 15:41 von mbeie_01
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