Dawson DA, Greven A (1993)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 1993
Publisher: Springer Verlag (Germany)
Book Volume: 96
Pages Range: 435-473
Journal Issue: 4
DOI: 10.1007/BF01200205
The purpose of this paper is to explore the connection between multiple space-time scale behaviour for block averages and phase transitions, respectively formation of clusters, in infinite systems with locally interacting components. The essential object is the associated Markov chain which describes the joint distribution of the block averages at different time scales. A fixed-point and stability property of a particular dynamical system under a renormalisation procedure is used to explain this pattern of cluster formation and the fact that the longtime behaviour is universal in entire classes of evolutions. © 1993 Springer-Verlag.
APA:
Dawson, D.A., & Greven, A. (1993). Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation. Probability Theory and Related Fields, 96(4), 435-473. https://dx.doi.org/10.1007/BF01200205
MLA:
Dawson, Donald Andrew, and Andreas Greven. "Hierarchical models of interacting diffusions: Multiple time scale phenomena, phase transition and pattern of cluster-formation." Probability Theory and Related Fields 96.4 (1993): 435-473.
BibTeX: Download