Invariance of 0-currents under diffusions
Dynamical Systems
2016-02-08 v2
Abstract
We study two actions of a stochastic flow on the space of currents of a differentiable manifold . In particular, we give conditions on a current to be invariant under these actions. Also, we apply our results to the case of currents that come from harmonic measures associated to certain type of foliations on homogeneous spaces.
Keywords
Cite
@article{arxiv.1511.04579,
title = {Invariance of 0-currents under diffusions},
author = {Diego Sebastian Ledesma and Fabiano Borges da Silva},
journal= {arXiv preprint arXiv:1511.04579},
year = {2016}
}