Quantitative multiple mixing

  • Michael Björklund

    Chalmers University, Gothenburg, Sweden
  • Manfred Einsiedler

    ETH Zürich, Switzerland
  • Alexander Gorodnik

    Universität Zürich, Switzerland
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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 -algebraic groups and semisimple adele groups. As an application, we deduce existence of approximate configurations in lattices of semisimple groups.

Cite this article

Michael Björklund, Manfred Einsiedler, Alexander Gorodnik, Quantitative multiple mixing. J. Eur. Math. Soc. 22 (2020), no. 5, pp. 1475–1529

DOI 10.4171/JEMS/949