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Tuesday, 2 June 2026 - 10:00 to 11:30 <br />
Place: IM, konírna
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Speaker: Ebrahim Samei, University of Saskatchewan, Saskatoon, Canada<br />
Title: A harmonic analysis approach to random walks and representation theory
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Abstract <br />
<p>Let G be a countable discrete group, and let μ be a probability measure on G with finite (Shannon) entropy. We use ideas from harmonic analysis to generalize Shannon and Avez entropies, taking into account the given weight ω on G, and investigate their relations together as well as to the actions of G on measurable stationary spaces. </p><p>We apply our methods to show that for a large class of groups (e.g. groups with rapid decay) and probability measures on them, their tempered representations on μ-stationary spaces are precisely measure-preserving extension of the Poisson boundary of (G, μ). </p><p>This is a joint work with Benjamin Anderson-Sackaney, Tim de Laat, and Matthew Wiersma.</p>
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For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/6
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Set Theory and Analysis mailing list <br />
settfa@math.cas.cz <br />
https://list.math.cas.cz/listinfo/settfa@math.cas.cz
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