Texas A&M University, Department of Mathematics, 216 Milner Hall, 15th of April 2008, 3:00-3:50

Groups and Dynamics Seminar


On measure preserving self-homeomorphisms of spherically homogeneous tree boundaries

Yaroslav Lavrenyuk of Taras Shevchenko Kyiv State University, Ukraine


Bernoulli measure is the only invariant measure under the action of the isometry group of a spherically homogeneous tree boundary. We consider the group of self-homeomorphisms of spherically homogeneous tree boundaries preserving this measure.