Randomized polynuclear growth with a columnar defect
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- Beffara, V., Sidoravicius, V. & Vares, M.E. Probab. Theory Relat. Fields (2010) 147: 565. doi:10.1007/s00440-009-0216-8
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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.