1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DS2006★ 1 cited
Invariant measures and the set of exceptions to Littlewood's conjecture
Manfred Einsiedler, Anatole Katok, Elon Lindenstrauss
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…
math.DS2005
Constructions in elliptic dynamics
Bassam Fayad, Anatole Katok
We present an overview and some new applications of the approximation by conjugation method introduced by Anosov and the second author more than thirty years ago \cite{AK}. Michel…
math.DS2000
Rigidity of measurable structure for Z^d-actions by automorphisms of a torus
Anatole Katok, Svetlana Katok, Klaus Schmidt
We show that for certain classes of actions of Z^d, d >= 2, by automorphisms of the torus any measurable conjugacy has to be affine, hence measurable conjugacy implies algebraic co…