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Positivity of the self-diffusion matrix of interacting Brownian particles with hard core
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  • Published: September 1998

Positivity of the self-diffusion matrix of interacting Brownian particles with hard core

  • Hirofumi Osada1 

Probability Theory and Related Fields volume 112, pages 53–90 (1998)Cite this article

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Abstract.

We prove the positivity of the self-diffusion matrix of interacting Brownian particles with hard core when the dimension of the space is greater than or equal to 2. Here the self-diffusion matrix is a coefficient matrix of the diffusive limit of a tagged particle. We will do this for all activities, z>0, of Gibbs measures; in particular, for large z– the case of high density particles. A typical example of such a particle system is an infinite amount of hard core Brownian balls.

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Authors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan. Email: osada@math.nagoya-u.ac.jp, , , , , , JP

    Hirofumi Osada

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  1. Hirofumi Osada
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Received: 22 September 1997 / Revised version: 15 January 1998

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Osada, H. Positivity of the self-diffusion matrix of interacting Brownian particles with hard core. Probab Theory Relat Fields 112, 53–90 (1998). https://doi.org/10.1007/s004400050183

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  • Issue Date: September 1998

  • DOI: https://doi.org/10.1007/s004400050183

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  • Mathematics Subject Classification (1991): 60K35
  • 60J60
  • 82C2
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