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arXiv · 1701.00945

Quantitative multiple mixing

Michael Björklund·Manfred Einsiedler·Alexander Gorodnik
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Abstract

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.

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Michael Björklund, Manfred Einsiedler, Alexander Gorodnik. 2017-01-04. Quantitative multiple mixing. https://arxiv.org/abs/1701.00945

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