EVENT DETAILS AND ABSTRACT

Title: Effective multiple mixing for semisimple group actions
Speaker: Ioannis Konstantoulas
Speaker Info: University of Illinois,
Brief Description:
Special Note:
Abstract:

famous theorem of S. Mozes implies that a mixing action of a semisimple group with certain natural conditions on a probability space $X$ is mixing for all orders. In this work we will study the quantitative behaviour of the multiple correlation integrals for the Cartan action of such a group over local fields of characteristic zero and related subgroups. We show how to get explicit rates of decay for a dense subspace of $L^2(X)$ and obtain Mozes' theorem for the groups under consideration as a corollary of this work.