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New approach to entropy of countable group actions

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Speaker: 
Tomasz Downarowicz
Organiser(s): 
U Tech Wroclaw\MPI
Date: 
Tue, 2014-06-17 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Dynamics and Numbers

 There exists an astonishingly simple formula for the dynamical entropy of a process
(measure-preserving transformation with a partition),which can be easily extended
to actions of any countable group. This formula coincides with the standard one up
to amenable groups. I will discuss its applicability to other groups and, exploring
another direction, to topological entropy.

 

 

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