Topic:
Lamplighters, Harmonic Functions, and the Iterated Log Law
Date & Time:
Tuesday, May 3, 2016 - 11:00 to 13:00
Speaker:
Gady Kozma, Weizmann Institute of Science
Location:
Room 264, Geography Building, 3663 Zhongshan Road North, Shanghai
The seminar is sponsored by NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai.
Abstract:
Global harmonic functions on a given graph reflect many interesting properties of the graph, connecting geometry, random walk, and, when the graph is a Cayley graph of some group, also actions and representations of the group. We study harmonic functions on a specific group, the lamplighter with integer-valued lamps, and show that the iterated log law appears in a surprising way.
Joint work with Gideon Amir, Itai Benjamini and Ariel Yadin.
Biography:
Gady Kozma is a Professor of Mathematics in the Weizmann Institute of Science, Israel. His research interests include analysis, probability, groups, and relations between them.