Invariant measures and the set of exceptions to Littlewood's conjecture (2006)
Ensiedler, Manfred, Katok, Anatole, Lindenstrauss, Elon
We classify the measures on $\SL (k,\Bbb R) / \SL (k, \ZZ)$ which are invariant and ergodic under the action of the group $A$ of positive diagonal matrices with positive entropy. We apply this to...