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2016, 10: 81-111. doi: 10.3934/jmd.2016.10.81
Effective decay of multiple correlations in semidirect product actions
Ioannis Konstantoulas 1,
Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, UT 84112-0090, United States
Received February 2014 Revised February 2016 Published April 2016
We prove effective decay of certain multiple correlation coefficients for measure preserving, mixing Weyl chamber actions of semidirect products of semisimple groups with $G$-vector spaces. These estimates provide decay for actions in split semisimple groups of higher rank.
Keywords: multiple mixing., Exponential mixing, semidirect products.
Mathematics Subject Classification: Primary: 37A25, 22E5.
Citation: Ioannis Konstantoulas. Effective decay of multiple correlations in semidirect product actions. Journal of Modern Dynamics, 2016, 10: 81-111. doi: 10.3934/jmd.2016.10.81
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Ioannis Konstantoulas