Directed random growth models on the plane

Timo Seppalainen

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arXiv · 0708.2721

Directed random growth models on the plane

Timo Seppalainen

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Abstract

This is a brief survey of laws of large numbers, fluctuation results and large deviation principles for asymmetric interacting particle systems that represent moving interfaces on the plane. We discuss the exclusion process, the Hammersley process and the related last-passage growth models.

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Timo Seppalainen. 2007-08-20. Directed random growth models on the plane. https://arxiv.org/abs/0708.2721

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