Yves Benoist

Yves Benoist is a French mathematician, known for his work on group dynamics on homogeneous spaces.

In 1990 Benoist proved a longstanding open conjecture with Patrick Foulon and François Labourie about Anosov flows on compact, negatively curved manifolds.

[2] The prize citation highlighted their work on stationary measures and closed orbits for non-abelian group actions on homogeneous spaces, solving a long-standing conjecture of Hillel Furstenberg.

They showed that in homogeneous spaces of finite volume, orbits of a Zariski dense subgroup of a semisimple group equidistribute towards algebraic measures.

He gave the 2012 Takagi Lectures[3] in Kyoto at the Research Institute for Mathematical Sciences (RIMS).