Random permutations sampled by surface groups
Let be the fundamental group of the closed orientable surface of genus , namely, . Fix an element and let be a uniformly random homomorphism to the symmetric group .
We develop new techniques to study the random permutation , and derive several results which are analogous to well-known results when is replaced with a free group.
This is joint work with Michael Magee.
תאריך עדכון אחרון : 24/11/2020