Directed random growth models on the plane

Details Directed random growth models on the plane Directed random growth models on the plane

2007-08-20

arxiv.org/abs/0708.2721v1

Analysis and Stochastics of Growth Processes and Interface Models, edited by P. Morters et al., p. 9-38, Oxford University Pre

Mathematics

Probability

30 pages

Scientific paper

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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