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March 2018

STOR Colloquium: Terry Soo, University of Kansas

March 19 @ 3:30 pm - 4:30 pm

The Department of Statistics and Operations Research The University of North Carolina at Chapel Hill     STOR Colloquium Monday, March 19th, 2018 120 Hanes Hall 3:30pm Terry Soo University of Kansas   ISOMORPHISMS IN PROBABILITY AND ERGODIC THEORY   Two measure-preserving systems are isomorphic if there exists a measure-preserving bijection between them that respects the dynamics of the systems. Kolmogorov (1958) showed that Shannon entropy is an isomorphism invariant for independent and identically distributed systems, and Ornstein (1970) showed…

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April 2018

Hotelling Lectures: Steven N. Evans, University of California – Berkeley

April 11 @ 3:30 pm - 4:30 pm

The fundamental theorem of arithmetic for metric measure spaces A metric measure space (mms) is a complete, separable metric space equipped with a probability measure that has full support.  A fundamental insight of Gromov is that the space of such objects is much ``tamer'' than the space of complete, separable metric spaces per se because mms carry within themselves a canonical family of approximations by finite structures: one takes the random mms that arises from picking some number of points…

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