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Seminar on Stochastic Analysis, Random Fields and Applications III pp 89–110Cite as

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Catalytic and Mutually Catalytic Super-Brownian Motions

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Part of the book series: Progress in Probability ((PRPR,volume 52))

Abstract

Catalytic branching processes describe the evolution of two types of material (populations) called catalyst and reactant. The catalyst evolves autonomously, but catalyzes the reactant. The individuals of both populations share the features of motion, growth and death. In mutually catalytic models however there is an additional feedback from the reactant to the catalyst destroying completely the basic independence assumption of branching theory. Recent results for continuum models of this type are surveyed.

This work has been supported by an NSERC grant, a Max Planck award, and the DFG. Revised version of the WIAS-Preprint No. 546 of January 17, 2000; ISSN 0946-8633.

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Author information

Authors and Affiliations

  1. The Fields Institute, 222 College Street, Toronto, Ontario, M5T, Canada

    D. A. Dawson

  2. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, Berlin, D-10117, Germany

    K. Fleischmann

Authors
  1. D. A. Dawson
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  2. K. Fleischmann
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Editor information

Editors and Affiliations

  1. Département de Mathématiques, Ecole Polytechnique Fédérale, Lausanne, CH-1005, Switzerland

    Robert C. Dalang

  2. Institut Elie Cartan, Université Henri Poincaré, BP 239, Vandoeuvre-les-Nancy Cedex, F-54506, France

    Marco Dozzi

  3. Département de Mathématiques, Institut Galilée, Université Paris 13, Villetaneuse, F-95430, France

    Francesco Russo

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© 2002 Springer Basel AG

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Dawson, D.A., Fleischmann, K. (2002). Catalytic and Mutually Catalytic Super-Brownian Motions. In: Dalang, R.C., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications III. Progress in Probability, vol 52. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8209-5_7

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  • DOI: https://doi.org/10.1007/978-3-0348-8209-5_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9474-6

  • Online ISBN: 978-3-0348-8209-5

  • eBook Packages: Springer Book Archive

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