Products of trees, lattices and simple groups.
On a quantitative version of the Oppenheim conjecture.
Mixing of all orders of Lie groups actions (Erratum).
Mixing of all orders of Lie groups actions.
Lattices in product of trees
Groups acting on trees : from local to global structure
Minimality and unique ergodicity for subgroup actions
Let be an -algebraic semisimple group, an algebraic -subgroup, and a lattice in . Partially answering a question posed by Hillel Furstenberg in 1972, we prove that if the action of on is minimal, then it is uniquely ergodic. Our proof uses in an essential way Marina Ratner’s classification of probability measures on invariant under unipotent elements, and the study of “tubes” in .
The word and riemannian metrics on lattices of semisimple groups
Page 1