Randomized polynuclear growth with a columnar defect

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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Submitted on : Tuesday, March 3, 2009 - 2:36:58 PM
Last modification on : Monday, February 25, 2019 - 5:16:03 PM
Long-term archiving on : Wednesday, September 22, 2010 - 11:38:08 AM

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

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