EVENT DETAILS AND ABSTRACT

Title: Mixing Properties of Random Sequences and Rank-One Transformations
Speaker: Darren Creutz
Speaker Info: UCLA
Brief Description:
Special Note:
Abstract:

We present new results on "random" sequences (sufficiently general enough to include deterministic sequences such as polynomials) having various mixing- and ergodic-type properties with respect to transformations having certain mixing-type properties. The main application is a proof of mixing on "stochastic staircase" rank-one transformations, a class which includes all previously known examples of mixing rank-one. The talk will consist of a discussion of the mixing- and ergodic-type properties involved, some indications as to the proofs for random sequences, and an introduction to rank-one transformations with an indication of how one proves mixing.