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Title:Effective multiple mixing in Weyl chamber actions
Author(s):Konstantoulas, Ioannis
Director of Research:Athreya, Jayadev S.
Doctoral Committee Chair(s):Rosenblatt, Joseph
Doctoral Committee Member(s):Athreya, Jayadev S.; Boca, Florin; Zaharescu, Alexandru
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):semisimple groups
semidirect products
effective multiple mixing
Weyl chamber actions
Abstract:In this work, we prove effective decay of certain multiple correlation coefficients for Weyl chamber actions of semidirect products of semisimple groups with $G$-vector spaces. Using these estimates we get decay for corresponding actions in some semisimple groups of higher rank and homogeneous spaces of semidirect products of real algebraic groups.
Issue Date:2014-05-30
URI:http://hdl.handle.net/2142/49459
Rights Information:Copyright 2014 Ioannis Konstantoulas
Date Available in IDEALS:2014-05-30
Date Deposited:2014-05


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