Journal of Modern Dynamics (JMD)

Effective decay of multiple correlations in semidirect product actions

Pages: 81 - 111, Volume 10, 2016      doi:10.3934/jmd.2016.10.81

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Ioannis Konstantoulas - Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, UT 84112-0090, United States (email)

Abstract: 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:  Exponential mixing, semidirect products, multiple mixing.
Mathematics Subject Classification:  Primary: 37A25, 22E50.

Received: February 2014;      Revised: February 2016;      Available Online: April 2016.