most citedWeak Convergence to Brownian Motion on Sub-Riemannian Manifolds

6 citations · 8 across the 2 of their papers we have counts for

collaborators

3 papers

math.DG2014★ 2 cited

Sub-Laplacians on sub-Riemannian manifolds

Maria Gordina, Thomas Laetsch

We consider different sub-Laplacians on a sub-Riemannian manifold . Namely, we compare different natural choices for such operators, and give conditions under which they coincid…

math.PR2014★ 6 cited

Weak Convergence to Brownian Motion on Sub-Riemannian Manifolds

Maria Gordina, Thomas Laetsch

This paper considers a classical question of approximation of Brownian motion by a random walk in the setting of a sub-Riemannian manifold . To construct such a random walk we f…

math.PR2012

An Approximation to Wiener Measure and Quantization of the Hamiltonian on Manifolds with Non-positive Sectional Curvature

Thomas Laetsch

This paper gives a rigorous interpretation of a Feynman path integral on a Riemannian manifold M with non-positive sectional curvature. A Riemannian metric is given on…