MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Mixing properties of commuting nilmanifold automorphisms

Alexander Gorodnik School of Mathematics, University of Bristol Ralf Spatzier Department of Mathematics, University of Michigan

Dynamical Systems mathscidoc:1701.11010

Acta Mathematica, 215, (1), 127-159, 2013.5
We study mixing properties of commutative groups of automorphisms acting on compact nilmanifolds. Assuming that every non-trivial element acts ergodically, we prove that such actions are mixing of all orders. We further show exponential 2-mixing and 3-mixing. As an application we prove smooth cocycle rigidity for higher-rank abelian groups of nilmanifold automorphisms.
No keywords uploaded!
[ Download ] [ 2017-01-08 20:34:05 uploaded by actaadmin ] [ 1399 downloads ] [ 0 comments ] [ Cited by 3 ] 
@inproceedings{alexander2013mixing,
  title={Mixing properties of commuting nilmanifold automorphisms},
  author={Alexander Gorodnik, and Ralf Spatzier},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203405437689806},
  booktitle={Acta Mathematica},
  volume={215},
  number={1},
  pages={127-159},
  year={2013},
}
Alexander Gorodnik, and Ralf Spatzier. Mixing properties of commuting nilmanifold automorphisms. 2013. Vol. 215. In Acta Mathematica. pp.127-159. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203405437689806.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved