László Márton Tóth: "Factor of iid Schreier decorations on transitive graphs"

mardi 19 janv. 2021, 10:15 → 11:15 Europe/Paris

Abstract: A Schreier decoration of a graph is a coloring and orientation of the edges that turns it into a Schreier graph of a free group. We show that a Schreier decoration on the square lattice can be constructed as a factor of iid random process, and prove a partial result (balanced orientation) towards the same on regular trees. We also rephrase these results in terms of measurable coloring theorems on Bernoulli graphings.