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A limiting result for the structure of collisions between many independent diffusions
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  • Published: April 1989

A limiting result for the structure of collisions between many independent diffusions

  • Alain Sol Sznitman1 

Probability Theory and Related Fields volume 81, pages 353–381 (1989)Cite this article

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Abstract

We study a system of a large number N of independent diffusions undergoing collisions in a roughly constant mean free path regime. We derive a propagation of chaos result when N goes to infinity, concerning the limit behavior of the trajectory of a particle, its first time of collision with all the other particles and the trajectory of the colliding particle.

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Authors and Affiliations

  1. Courant Institute of Mathermatical Sciences, 251 Mercer Street, 10012, New York, NY, USA

    Alain Sol Sznitman

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  1. Alain Sol Sznitman
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Additional information

This work was done while the author was with the Laboratoire de Probabilités, associé C.N.R.S., Université Paris 6

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Sznitman, A.S. A limiting result for the structure of collisions between many independent diffusions. Probab. Th. Rel. Fields 81, 353–381 (1989). https://doi.org/10.1007/BF00340059

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  • Received: 06 June 1987

  • Revised: 10 August 1988

  • Issue Date: April 1989

  • DOI: https://doi.org/10.1007/BF00340059

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Keywords

  • Stochastic Process
  • Probability Theory
  • Free Path
  • Statistical Theory
  • Limit Behavior
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