| DATE: | Wednesday, February 17, 2010 (Special Time) |
| TIME: | 4:30 - 5:30 pm |
| PLACE: | LN2205 |
| SPEAKER: | Zoran Sunik (Texas A & M) |
| TITLE: | Symbolic dynamics on trees and finitely constained groups |
It is easy to see that closed self-similar groups of tree automorphisms are precisely the groups defined by forbidden tree patterns. Finitely constrained groups are, in the theory of groups acting on regular rooted trees, analogs of subshifts of finite type in symbolic dynamics. We provide a full characterization of finitely constrained groups in terms of the branching property of groups. We also discuss topologically finitely generated groups, Hausdorff dimension, graphical representations of finitely constrained groups, ...