Justin C. Tzou

MEAN FIRST ESCAPE TIMES OF BROWNIAN MOTION ON ASYMPTOTICALLY HYPERBOLIC AND GAS GIANT METRIC SURFACES

Abstract This paper deals with the mean first escape time of Brownian motion on asymptotically hyperbolic and gas giant surfaces. We show that for a boundary defining function ρ $\rho $ rho , the mean first escape time u ε ( x ) $u_\varepsilon (x)$ u Subscript epsilon Baseline le...