Quantitative multiple mixing
Michael Björklund, Manfred Einsiedler, Alexander Gorodnik · Zurich Open Repository and Archive (University of Zurich) · 2020
We develop a method for providing quantitative estimates for higher order correlations of group actions. In particular, we establish effective mixing of all orders for actions of semisimple Lie groups as well as semisimple S-algebraic groups and semisimple adele groups. As an application, we deduce existence of approximate configurations in lattices of semisimple groups.