This week's seminars
Statistics Seminars: Word Measures on Groups
12 October 2018 14:00 in CM103
Let w be a word in the free group on k generators, and let G be a finite group. The word w induces a probability distribution on G by substituting the letters of w with k independent uniformly random elements of G and evaluating the product.
I will explain some of the motivation for the study of word measures, discuss some beautiful properties, give examples and state conjectures. The focus will be on word measures on symmetric groups. This is partly based on joint works with Ori Parzanchevski, with Michael Magee and with Liam Hanani.
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