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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★ 1 cited
Constructing exchangeable pairs by diffusion on manifolds and its application
Weitao Du
We construct a continuous family of exchangeable pairs by perturbing the random variable through diffusion processes on manifold in order to apply Stein method to certain geometric…