Limiting distributions for a polynuclear growth model with external sources
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Publication:1592964
DOI10.1023/A:1018615306992zbMATH Open0976.82043arXivmath/0003130MaRDI QIDQ1592964
Author name not available (Why is that?)
Publication date: 13 January 2002
Published in: (Search for Journal in Brave)
Abstract: The purpose of this paper is to investigate the limiting distribution functions for a polynuclear growth model with two external sources, which was considered by Pr"ahofer and Spohn. Depending on the strength of the sources, the limiting distribution functions are either the Tracy-Widom functions of random matrix theory, or a new explicit function which has the special property that its mean is zero. Moreover, we obtain transition functions between pairs of the above distribution functions in suitably scaled limits. There are also similar results for a discrete totally asymmetric exclusion process.
Full work available at URL: https://arxiv.org/abs/math/0003130
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