ERC Starting Grant · 2019
Word Measures in Groups and Random Cayley Graphs
Recent years brought immense progress in the study of Cayley graphs of finite groups, with many new results concerning their expansion, diameter, girth etc. Yet, many central open questions remain. These questions, especially those concerning random Cayley graphs, are major motivation to this proposed research. Central in this project is the study of word measures in finite and compact groups. A word w in a free group F induces a measure on every finite or compact group G as follows: substitute every generator of F with an independent Haar-random element of G and evaluate the product defined by w to obtain a random element in G. The main goal here is to expose the invariants of the word w…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.