On the attracting orbit of a nonlinear transformation arising from renormalization of hierarchically interacting diffusion. Part II: The noncompact case

Baillon JB, Clément PPJE, Greven A, den Hollander F (1997)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1997

Journal

Journal of Functional Analysis Elsevier

Publisher: Elsevier

Book Volume: 146

Pages Range: 236-298

Journal Issue: 1

URI: https://www.sciencedirect.com/science/article/pii/S0022123696930311?via=ihub

DOI: 10.1006/jfan.1996.3031

Abstract

This paper analyzes then-fold composition of a non-linear integral operator acting on a class of functions on [0, ∞). Attracting orbits and attracting fixed points are identified. Various results of convergence to these orbits and to these fixed points are derived. The proofs are based on order-preserving properties and comparison techniques. A key role is played by the eigenfunctions of the operator, which are used as comparison objects. The results imply that the space-time scaling limit of an infinite system of interacting diffusions has universal behavior independent of model parameters. The paper can be read independently of Part I. © 1997 Academic Press.

Authors with CRIS profile

Andreas Greven Lehrstuhl für Mathematische Stochastik

Involved external institutions

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

How to cite

APA:

Baillon, J.-B., Clément, P.P.J.E., Greven, A., & den Hollander, F. (1997). On the attracting orbit of a nonlinear transformation arising from renormalization of hierarchically interacting diffusion. Part II: The noncompact case. Journal of Functional Analysis, 146(1), 236-298. https://dx.doi.org/10.1006/jfan.1996.3031

MLA:

Baillon, Jean-Bernard, et al. "On the attracting orbit of a nonlinear transformation arising from renormalization of hierarchically interacting diffusion. Part II: The noncompact case." Journal of Functional Analysis 146.1 (1997): 236-298.

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