45 citations · 79 across the 13 of their papers we have counts for
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math.PR2010★ 18 cited
Estimates for the ergodic measure and polynomial stability of plane stochastic curve shortening flow
Abelhadi Es-Sarhir, Max von Renesse, Wilhelm Stannat
We establish moment estimates for the invariant measure of a stochastic partial differential equation describing motion by mean curvature flow in (1+1) dimension, leading to polyno…
math.PR2010★ 7 cited
Ergodicity of Stochastic Curve Shortening Flow in the Plane
A. Es-Sarhir, M. -K. von Renesse
We study a model of the motion by mean curvature of an (1+1) dimensional interface in a 2D Brownian velocity field. For the well-posedness of the model we prove existence and uniqu…