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On a randomized PNG model with a columnar defect

Vincent Beffara·Vladas Sidoravicius·Maria Eulalia Vares
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Abstract

We study a variant of poly-nuclear growth where the level boundaries perform continuous-time, discrete-space random walks, and study how its asymptotic behavior is affected by the presence of a columnar defect on the line. We prove that there is a non-trivial phase transition in the strength of the perturbation, above which the law of large numbers for the height function is modified.

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Vincent Beffara, Vladas Sidoravicius, Maria Eulalia Vares. 2009-03-03. On a randomized PNG model with a columnar defect. https://arxiv.org/abs/math/0702012

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