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Partial Differential Equations and Functional Analysis pp 123–136Cite as

Renormalization of Interacting Diffusions: A Program and Four Examples

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 168))

Abstract

Systems of hierarchically interacting diffusions allow for a rigorous renormalization analysis. By bringing into play the powerful machinery of stochastic analysis, it is possible to obtain a complete classification of the large space-time behavior of these systems into universality classes. The present paper outlines a general renormalization program that is being pursued since ten years and describes four examples where this program has been successfully carried through. The systems under consideration model the evolution of multi-type populations subject to migration and resampling.

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Authors and Affiliations

  1. EURANDOM, P.O. Box 513, NL-5600 MB, Eindhoven, The Netherlands

    F. den Hollander

  2. Mathematical Institute, Leiden University, P.O. Box 9512, NL-2300 RA, Leiden, The Netherlands

    F. den Hollander

Authors
  1. F. den Hollander
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Editor information

Editors and Affiliations

  1. Technische Universiteit Delft DIAM, P.O. Box 5031, 2600 GA, Delft, The Netherlands

    Erik Koelink , Jan van Neerven , Ben de Pagter  & Guido Sweers , ,  & 

  2. Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstrasse 8-10 / 101, 1040, Wien, Austria

    Annemarie Luger  & Harald Woracek  & 

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Dedicated to Philippe Clément on the occasion of his retirement

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© 2006 Birkhäuser Verlag Basel/Switzerland

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den Hollander, F. (2006). Renormalization of Interacting Diffusions: A Program and Four Examples. In: Koelink, E., van Neerven, J., de Pagter, B., Sweers, G., Luger, A., Woracek, H. (eds) Partial Differential Equations and Functional Analysis. Operator Theory: Advances and Applications, vol 168. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7601-5_8

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