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Infinite-dimensional diffusion processes as gibbs measures on\(C[0,1]^{Z^d }\)
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  • Published: September 1987

Infinite-dimensional diffusion processes as gibbs measures on\(C[0,1]^{Z^d }\)

  • J. D. Deuschel1 

Probability Theory and Related Fields volume 76, pages 325–340 (1987)Cite this article

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Summary

An infinite lattice system of interacting diffusion processes is characterized as a Gibbs distribution on\(C[0,1]^{Z^d }\) with continuous local conditional probabilities. Using estimates for the Vasserstein metric onC[0, 1], Dobrushin's contraction technique is applied in order to obtain information about macroscopic properties of the entire diffusion process.

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Authors and Affiliations

  1. Mathematikdepartement, ETH, CH-8092, Zürich, Switzerland

    J. D. Deuschel

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  1. J. D. Deuschel
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Deuschel, J.D. Infinite-dimensional diffusion processes as gibbs measures on\(C[0,1]^{Z^d }\) . Probab. Th. Rel. Fields 76, 325–340 (1987). https://doi.org/10.1007/BF01297489

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  • Received: 25 March 1986

  • Issue Date: September 1987

  • DOI: https://doi.org/10.1007/BF01297489

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Keywords

  • Stochastic Process
  • Probability Theory
  • Diffusion Process
  • Conditional Probability
  • Mathematical Biology
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