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Journal Articles Probability Theory and Related Fields Year : 2010

Randomized polynuclear growth with a columnar defect

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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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Dates and versions

ensl-00128386 , version 1 (31-01-2007)
ensl-00128386 , version 2 (03-03-2009)

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Cite

Vincent Beffara, Vladas Sidoravicius, Maria Eulalia Vares. Randomized polynuclear growth with a columnar defect. Probability Theory and Related Fields, 2010, 146 (3), pp.565-581. ⟨10.1007/s00440-009-0216-8⟩. ⟨ensl-00128386v2⟩
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