Algebra Seminar

Title: Speed of random walks on groups and minimal growth of harmonic functions
Speaker: Tiany Zheng
Speaker Info: University of California, San Diego
Brief Description:
Special Note: This seminar is joint with Probability Seminar

We discuss a flexible construction of groups where the speed (rate of escape) of simple random walk can follow any sufficiently nice function between diffusive and linear. Minimal growth of non-constant harmonic functions on these groups are tightly related to the speed of the random walk. While in a variant of this construction, all harmonic functions of sub-exponential growth factor through a projection to a lamplighter. In particular we show that there exist groups on which all sub-linear harmonic functions are constant, while the speed of simple random walk can follow any prescribed super-diffusive function.
Date: Tuesday, March 28, 2017
Time: 4:10pm
Where: Lunt 104
Contact Person: Prof. Kate Juschenko
Contact email:
Contact Phone:
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