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Home » Open ended seminar: Spectral gap, random walk by isometries of Euclidean space, and smoothness of self-similar measures

Seminar

Open ended seminar: Spectral gap, random walk by isometries of Euclidean space, and smoothness of self-similar measures April 07, 2015 (02:00 PM PDT - 04:30 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Elon Lindenstrauss (The Hebrew University of Jerusalem)
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In my talk I will discuss recent results of P. Varju and myself regarding the group of isometries of R^d for d>=3, focusing on a uniform spectral gap result that is intimately connected to random walks by isometries on R^d. This new spectral gap result also has applications in the study of self similar measures in 3 or higher dimensions.



A discrete analogue giving new examples of expander graphs will also be discussed.

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