Skip to main content
Article thumbnail
Location of Repository

Invariant measures and the set of exceptions to Littlewood’s conjecture

By Manfred Einsiedler, Anatole Katok and Elon Lindenstrauss

Abstract

Abstract. We classify the measures on SL(k, R) / SL(k, Z) which are invariant and ergodic under the action of the group A of positive diagonal matrices with positive entropy. We apply this to prove that the set of exceptions to Littlewood’s conjecture has Hausdorff dimension zero. 1

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.161.7244
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.ma.huji.ac.il/~elon... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.