On unicity of the Riesz decomposition of an excessive measure.
On uniqueness of G-measures and g-measures
We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension of...
Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliers
Orbit closures of generic unipotent flows on homogeneous spaces of SL (3, IR).