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Texas A&M University

Events for 07/17/2019 from all calendars

Student Working Seminar in Groups and Dynamics

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Time: 12:30PM - 1:30PM

Location: BLOC 624

Speaker: James O'Quinn

Title: Ergodic Theory on Stationary Random Graphs

Abstract: This is an expository talk on the paper "Ergodic Theory on Stationary Random Graphs" by Itai Benjamini and Nicolas Curien. In the 80's, Kaimonavich and Vershik explored the connection between asymptotic properties of random walks on groups and entropy theory. Stationary random graphs are a generalization of Cayley graphs where the stationary condition is a replacement for the homogeneity inherent in Cayley graphs, so that the connections developed by Kaimonavich and Vershik hold for random walks in this setting. I plan to give background on the results from the group setting as well as define stationary random graphs. The goal is to show that stationary random graphs of subexponential growth have the Liouville property.

Workshop in Analysis and Probability Seminar

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Time: 3:00PM - 3:50PM

Location: BLOC 605AX

Speaker: Zhenhua Wang, University of Houston

Title: Dimension theory and Jordan operator algebras

Abstract: Jordan operator algebras are norm-closed spaces of operators on a Hilbert space which is closed under the Jordan product. In this talk, we will review some general theory of Jordan operator algebras and present some applications to operator theory. In the second part of my talk, we will give a generalization of noncommutative dimension theory in the C*-algebraic sense of L. G. Brown, Pedersen, etc, and as modified for Jordan operator algebras.