Estimates for the ergodic measure and polynomial stability of plane stochastic curve shortening flow
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🧮 math.PR
keywords
estimatesflowmeasurepolynomialstabilitystochasticassociatedcurvature
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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 polynomial stability of the associated Markov semigroup. We also prove maximal dissipativity for the related Kolmogorov operator.
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