Le Clay Research Award 2011 a été attribué conjointement à Yves Benoist (Laboratoire de mathématiques d’Orsay) et à Jean-François Quint
Le prix leur a été attribué "for their spectacular work on stationary measures and orbit closures for actions of non-abelian groups on homogeneous spaces. This work is a major breakthrough in homogeneous dynamics and related areas of mathematics. In particular, Benoist and Quint proved the following conjecture of Furstenberg. Let H be a Zariski dense semisimple subgroup of a Lie group which acts by left translations on the quotient of G by a discrete subgroup with finite covolume. Consider a probability measure m on H whose support generates H. Then any m-stationary probability measure for such an action is H-invariant."
Source : Clay Mathematics Institute
Laboratoire de mathématique d’Orsay (UMR 8628)
Laboratoire Analyse, Géométrie et Applications (UMR 7539)
Page personnelle d’Yves Benoist
Page personnelle de Jean-François Quint
