5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.PR2026
Brownian Loops, Singular Homology, and Asymptotic Cycles
Alberto Verjovsky, Ricardo F. Vila-Freyer
Let be a closed connected Riemannian manifold. A continuous semimartingale segment can be closed by a Borel family of paths of uniformly bounded length, producing a singular ho…
math.PR2023
Asymptotic Homology of Brownian motion on a Riemannian manifold
Alberto Verjovsky, Ricardo F. Vila-Freyer
We prove, using the celebrated result by Spitzer about winding of planar Brownian motion, and the existence of harmonic morphisms representing cohomology clas…
math.DS2008★ 5 cited
Statistical Behaviour of the Leaves of Riccati Foliations
Ch. Bonatti, X. Gomez-Mont, R. Vila-Freyer
We introduce the geodesic flow on the leaves of a holomorphic foliation with leaves of dimension 1 and hyperbolic, corresponding to the unique complete metric of curvature -1 compa…