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The renormalization transformation for two-type branching models

D. A. DawsonA. GrevenF. den HollanderRongfeng SunJ. M. Swart — 2008

Annales de l'I.H.P. Probabilités et statistiques

This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for two types of individuals migrating between and interacting within colonies. Their large-scale space–time behavior can be studied by means of a renormalization program. This program, which has been carried out successfully in a number of other cases (mostly one-dimensional), is based on the construction and the analysis of...

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