Stability of invariant measures
Dynamical Systems
2008-11-04 v1
Abstract
We generalize various notions of stability of invariant sets of dynamical systems to invariant measures, by defining a topology on the set of measures. The defined topology is similar, but not topologically equivalent to weak* topology, and it also differs from topologies induced by the Riesz Representation Theorem. It turns out that the constructed topology is a solution of a limit case of a -optimal transport problem, for .
Cite
@article{arxiv.0811.0109,
title = {Stability of invariant measures},
author = {Sinisa Slijepcevic},
journal= {arXiv preprint arXiv:0811.0109},
year = {2008}
}