A probabilistic method for gradient estimates of some geometric flows

Author:

Chen Xin,Cheng Li-Juan,Mao Jing

Funder

Zhejiang University of Technology

Harbin Institute of Technology

Natural Scientific Research Innovation Foundation in Harbin Institute of Technology

NSF of China

CIM

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability

Reference36 articles.

1. Brownian motion with respect to a metric depending on time: definition, existence and applications to Ricci flow;Arnaudon;C. R. Math. Acad. Sci. Paris,2008

2. Gradient estimates for positive harmonic functions by stochastic analysis;Arnaudon;Stochastic Process. Appl.,2007

3. Complete lifts of connections and stochastic Jacobi fields;Arnaudon;J. Math. Pures Appl.,1998

4. L.-J. Cheng, Diffusion process on time-inhomogeneous manifolds, 2012, Preprint.

5. L. Cheng, A. Zhu, Yamabe flow and ADM Mass on asymptotically flat manifolds. Available online at: arXiv:1109.2443.

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