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math.DG2013★ 5 cited
A probabilistic method for gradient estimates of some geometric flows
Xin Chen, Li-Juan Cheng, Jing Mao
In general, gradient estimates are very important and necessary for deriving convergence results in different geometric flows, and most of them are obtained by analytic methods. In…
math.PR2013
A Probabilistic Approach for Gradient Inequalities on Time-Inhomogeneous Manifolds
Li-Juan Cheng
Gradient inequalities of the Hamilton type and the Li-Yau type for positive solutions to the heat equation are established from a probabilistic viewpoint, which simplifies the proo…