Skip to main content

Research Repository

Advanced Search

Spherical means on compact locally symmetric spaces of non-positive curvature

Peyerimhoff, N.

Authors



Abstract

We consider spherical means of continuous functions on the unit tangent bundle of a compact, non-positively curved locally symmetric space and study their behavior as the radius tends to infinity. In dimension greater or equal to 2, we prove that spherical means converge to a probability measure of maximal entropy. This limit measure has an easy characterization in both geometric and algebraic terms. On our way we also derive a convergence result for horospherical means on compact locally symmetric spaces of noncompact type.

Citation

Peyerimhoff, N. (2006). Spherical means on compact locally symmetric spaces of non-positive curvature. Forum Mathematicum, 18(3), 391-417. https://doi.org/10.1515/forum.2006.022

Journal Article Type Article
Publication Date May 1, 2006
Deposit Date Feb 16, 2009
Journal Forum Mathematicum
Print ISSN 0933-7741
Electronic ISSN 1435-5337
Publisher De Gruyter
Peer Reviewed Peer Reviewed
Volume 18
Issue 3
Pages 391-417
DOI https://doi.org/10.1515/forum.2006.022

You might also like



Downloadable Citations