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Correlated Drainage Model

2009/02/04 by Siva Athreya, Athreya, Siva, Sreekar Vadlamani +1
Computer Science · Mathematics · Physics and Astronomy · #05C05 #05C80 #60G10 #60G52 #Data Management and Algorithms #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR #msc:05C05 #msc:05C80 #msc:60G10 #msc:60G52

paper · pdf · doi:10.48550/arxiv.0902.0762

This paper has been withdrawn by the authors due to a crucial error in the main theorem.

openalex publication_date 2009/02/04 · arxiv created 2010/03/21 · arxiv updated 2010/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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