Diego Sebastian Ledesma, Fabiano Borges da Silva
Published 2015-11-14Version 1
We study two actions of a stochastic flow $\varphi_t$ on the space of $0-$currents $T$ of a differentiable manifold $M$. In particular, we give conditions on a current $T$ to be invariant under these actions. Also, we apply our results to the case of $0-$currents that come from harmonic measures associated to certain type of foliations on homogeneous spaces.
Shrinking targets problems for flows on homogeneous spaces
Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation
Rigidity for equivalence relations on homogeneous spaces
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