On the attracting orbit of a nonlinear transformation arising from renormalisation of hierarchially interacting diffusions. Part I: The compact case

Baillon JB, Clément PPJE, Greven A, den Hollander F (1995)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 1995

Journal

Canadian Journal of Mathematics-Journal Canadien De Mathematiques University of Toronto Press

Publisher: University of Toronto Press

Book Volume: 47

Pages Range: 3-27

Journal Issue: 1

URI: https://openaccess.leidenuniv.nl/handle/1887/63061

Abstract

This paper analyzes the «-fold composition of a certain non-linear
integral operator acting on a class of functions on [0,1 ]. The attracting orbit is identified
and various properties of convergence to this orbit are derived. The results imply that
the space-time scaling limit of a certain infinite system of interacting diffusions has
universal behavior independent of model parameters.

Authors with CRIS profile

Andreas Greven Lehrstuhl für Mathematische Stochastik

Involved external institutions

Leiden University NL Netherlands (NL) Delft University of Technology (TU Delft) NL Netherlands (NL) University of Paris 4 - Paris-Sorbonne / Université paris IV Paris-Sorbonne FR France (FR)

How to cite

APA:

Baillon, J.-B., Clément, P.P.J.E., Greven, A., & den Hollander, F. (1995). On the attracting orbit of a nonlinear transformation arising from renormalisation of hierarchially interacting diffusions. Part I: The compact case. Canadian Journal of Mathematics-Journal Canadien De Mathematiques, 47(1), 3-27.

MLA:

Baillon, Jean-Bernard, et al. "On the attracting orbit of a nonlinear transformation arising from renormalisation of hierarchially interacting diffusions. Part I: The compact case." Canadian Journal of Mathematics-Journal Canadien De Mathematiques 47.1 (1995): 3-27.

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