11 citations · 11 across the 3 of their papers we have counts for
3 papers
math.PR2021
Reflecting brownian motion and the gauss-bonnet-chern theorem
Weitao Du, Elton P. Hsu
We use reflecting Brownian motion (RBM) to prove the well known Gauss-Bonnet-Chern theorem for a compact Riemannian manifold with boundary. The boundary integrand is obtained by ca…
math.PR2020
Geometric Deviation From Lévy's Occupation Time Arcsine Law
Elton P. Hsu, Cheng Ouyang
We prove a geometric extension of Lévy's occupation time arcsine law near a hypersurface on a Riemannian manifold. The deviation from the classic arcsine law is of the order of the…
math.PR2010★ 11 cited
Volume growth and escape rate of Brownian motion on a complete Riemannian manifold
Elton P. Hsu, Guangnan Qin
We give an effective upper escape rate function for Brownian motion on a complete Riemannian manifold in terms of the volume growth of the manifold. An important step in the work i…