Acta mathematica scientia,Series B ›› 1994, Vol. 14 ›› Issue (4): 409-416.

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THE GENERALIZED EINSTEIN RELATION ON A COMPACT ORIENTABLE RIMANNIAN MANIFOLD

Fang Haito, Gong Guanglu   

  1. Department of Applied Mathematics, Tsinghua University, Peking 10084, China
  • Received:1992-07-17 Revised:1993-02-04 Online:1994-12-25 Published:1994-12-25

Abstract: A generalized Einstein relation is established for a drifted Brownian motion on a compact orientable Remannian manifole. The original form of such relation comes from an explicit formula of diffusion coeffcient by using the autocorrelation function of the velocity of the Einstein fluctuation theory of the diffusion process.

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