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Weikun He, Hebrew University of Jerusalem
Monday 10 December 2018, 15:15-16:15
Non-proximal linear random walks on the torus
- 👤 Speaker: Weikun He, Hebrew University of Jerusalem
- 📅 Date & Time: Monday 10 December 2018, 15:15 - 16:15
- 📍 Venue: MR4, CMS, Wilberforce Road, Cambridge, CB3 0WB
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Aled Walker
Abstract
Given a a probability measure µ on SL(d,Z), the associated random walk on the linear group induces a random walk on the d-dimensional torus Rd/Zd. Bourgain-Furman-Lindenstrauss-Mozes showed that the random walk equidistributes to the Haar measure provided that the starting point is irrational, µ has finite exponential moment and that the group generated by the support of µ acts irreducibly and proximally on R^d. In this talk, I will explain how to get the same result for certain non-proximal groups (for example SL(d,C)) using their method combined with new tools from additive combinatorics.
Series This talk is part of the Discrete Analysis Seminar series.
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