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Sharp Interface Limit for a Quasi-linear Large Deviation Rate Function

  • Takashi Kagaya,
  • Kenkichi Tsunoda

摘要

We discuss the sharp interface limit, leading to a mean curvature flow energy, for the rate function of the large deviation principle of a Glauber+Kawasaki process with speed change. We provide an explicit formula of the limiting functional given by the mobility and the transport coefficient.