Texas A&M University, Department of Mathematics, 317 Milner Hall, 10th of September 2003, 3:00-4:00

Groups and Dynamics Seminar


Dimension and randomness in groups acting on rooted trees

Miklos Abert of University of Chicago

We explore the structure of the p-adic automorphism group of the infinite rooted regular tree in terms of Hausdorff-dimension. We use random methods to answer a question of Sidki and solve a problem of Shalev.