Title: Ergodicity of skew-products over linearly recurrent interval exchange transformations
Speaker: Donald Robertson
Speaker Info: University of Utah
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Abstract:
Given an ergodic transformation of a probability space and a real-valued function f one can ask whether the induced skew product is ergodic for the product measure. In this talk I will describe joint work with J. Chaika in which we prove almost all such skew products are ergodic when the base ergodic system is a linearly recurrent interval exchange transformation and f is a zero-mean step function.Date: Tuesday, October 10, 2017