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arxiv: 0902.0762 · v2 · submitted 2009-02-04 · 🧮 math.PR

Correlated Drainage Model

classification 🧮 math.PR
keywords forestmodelrandomtreearticlecontrastcorrelatedd-dimensional
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In this article we present an example of a random oriented tree model on d-dimensional lattice, that is a forest in d=3 with positive probability. This is in contrast with the other random tree models in the literature which are a forest only when d strictly greater than 3.

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