Quantitative multiple mixing
Journal article, 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.
Multiple mixing
actions of semisimple groups
higher order correlations
actions of adele groups
configurations in discrete subgroups
Author
Michael Björklund
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Manfred Einsiedler
Swiss Federal Institute of Technology in Zürich (ETH)
Alexander Gorodnik
University of Zürich
Journal of the European Mathematical Society
1435-9855 (ISSN) 1435-9863 (eISSN)
Vol. 22 5 1475-1529Subject Categories
Mathematics
DOI
10.4171/JEMS/949