Effective multiple mixing in Weyl chamber actions

Konstantoulas, Ioannis

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https://hdl.handle.net/2142/49459 Copy

Description

Title

Effective multiple mixing in Weyl chamber actions

Author(s)

Konstantoulas, Ioannis

Issue Date

2014-05-30T16:45:27Z

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.

Graduation Semester

2014-05

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http://hdl.handle.net/2142/49459

Copyright and License Information

Copyright 2014 Ioannis Konstantoulas

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