Effective multiple mixing in Weyl chamber actions

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Konstantoulas, Ioannis

Contributors dc:contributor

• Athreya, Jayadev S.
• Rosenblatt, Joseph
• Boca, Florin
• Zaharescu, Alexandru

• semisimple groups
• semidirect products
• effective multiple mixing
• Weyl chamber actions

Statement dc:rights

• Copyright 2014 Ioannis Konstantoulas

Language dc:language

en

Handle dc:identifier

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

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/49459