Brownian motion on Anosov foliations and manifolds of negative curvature
Brownian motion on Anosov foliations and manifolds of negative curvature
We study ergodic properties of Anosov foliations.Some rigidity results are obtained, including applications to manifolds of negative curvature, and an integral formula for topological entropy.We also show that the in function c{x) in Margulis's asymptotic formula c(x) = lim^^^ e S{x,R) is almost always not constant.In dimension 2, c(x) is …