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Multilevel Models of Interacting Diffusions and Large Deviations

In: Mathematical Physics X

Author

Listed:
  • Donald A. Dawson

    (Carleton University Ottawa, Dept. of Mathematics and Statistics)

  • Jürgen Gärtner

    (Technische Universität Berlin, Fachbereich 3 - Mathematik)

Abstract

As compared with short range models, hierarchical models of interaction show a more realistic behavior than mean field models concerning both equilibrium and nonequilibrium phenomena. One of the remarkable features of such models is the observation that for large, but finite, system size the cooperative effects are organized in multiple time scales and in fact this provides a caricature of the behavior of short range systems at successively larger spatial scales, cf. [5].

Suggested Citation

  • Donald A. Dawson & Jürgen Gärtner, 1992. "Multilevel Models of Interacting Diffusions and Large Deviations," Springer Books, in: Konrad Schmüdgen (ed.), Mathematical Physics X, pages 370-374, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-77303-7_38
    DOI: 10.1007/978-3-642-77303-7_38
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