Jiaping Wang, U. Minnesota
Abstract: The entropy rate of a stationary sequence of random symbols was introduced by Shannon in his foundational work on information theory in 1948. In the early 1950s, Kolmogorov and Sinai realized that they could turn this quantity into an isomorphism invariant for measure-preserving…
Dr. Guofang Wei, UCSB
Abstract: It is of general interest to study the difference between Ricci and sectional curvature lower bound. A well known difference is their control on Betti numbers. Recently, joint with J. Pan, we constructed manifolds/singular spaces with nonnegative Ricci curvature which give negative answers to two…