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Finite and Infinite Systems of Interacting Diffusions: Cluster Formation and Universality Properties
Author(s) -
Cox John Ted,
Greven Andreas,
Shiga Tokuzo
Publication year - 1998
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19981920107
Subject(s) - mathematics , universality (dynamical systems) , statistical physics , countable set , cluster (spacecraft) , population , class (philosophy) , population model , pure mathematics , computer science , physics , demography , quantum mechanics , artificial intelligence , sociology , programming language
We study some aspects of the relationship between the long time behaviour of systems with a finite but large number of components and their idealizations with countably many components. The following class of models is considered in detail, which contains examples occuring in population growth and population genetic models.