Director of Research (if dissertation) or Advisor (if thesis)
Athreya, Jayadev S.
Doctoral Committee Chair(s)
Rosenblatt, Joseph
Committee Member(s)
Athreya, Jayadev S.
Boca, Florin
Zaharescu, Alexandru
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(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.
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