Séminaire SPACE Tours

Central limit theorem of Brownian motions in pinched negative curavature

by Jaelin Kim (LPSM)

E2 1180 (Tours)

E2 1180



In Cartan-Hadamard manifolds with negative curvature, the distance of the Brownian particle from its starting point and the logarithm of the Green function along Brownian paths satisfy the law of large number. In this talk, I will prove the central limit theorem for them when the manifold admits a non-uniform lattice. And then, I will state some ergodic-theoretic aspects of the Brownian motion.