Effective decay of multiple correlations in semidirect product actions

Ioannis  Konstantoulas

doi:10.3934/jmd.2016.10.81

Article Contents

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

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Effective decay of multiple correlations in semidirect product actions

Ioannis Konstantoulas^1,

1.
Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, UT 84112-0090

Received: January 31, 2014

Revised: January 31, 2016

Published: March 2016

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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.

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Mathematics Subject Classification: Primary: 37A25, 22E50.

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