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On a randomized PNG model 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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Preprints, Working Papers, ...
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00128386
Contributor : Vincent Beffara <>
Submitted on : Wednesday, January 31, 2007 - 11:11:08 PM
Last modification on : Monday, February 25, 2019 - 5:16:03 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 9:05:55 PM

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Vincent Beffara, Vladas Sidoravicius, Maria Eulalia Vares. On a randomized PNG model with a columnar defect. 2007. ⟨ensl-00128386v1⟩

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