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[PAST EVENT] Mathematics Colloquium/CSUMS Lecture
March 18, 2011
3pm - 4pm
Title: Computing the Critical Dimensions of Bratteli-Vershik systems
Abstract: Critical dimension measures the growth rate of the sum of Radon-Nikodym derivatives. Critical dimension is invariant under metric isomorphism, and for non-singular systems it is shown to exhibit some characteristics of entropy. I will give a brief introduction to entropy theory of measure-preserving systems. Then I will explain how to calculate critical dimensions of Bratteli-Vershik systems. This is a joint work with Anthony Dooley.
Abstract: Critical dimension measures the growth rate of the sum of Radon-Nikodym derivatives. Critical dimension is invariant under metric isomorphism, and for non-singular systems it is shown to exhibit some characteristics of entropy. I will give a brief introduction to entropy theory of measure-preserving systems. Then I will explain how to calculate critical dimensions of Bratteli-Vershik systems. This is a joint work with Anthony Dooley.
Contact
[[jxshix, Junping Shi]]