Randomized polynuclear growth with a columnar defect
نویسندگان
چکیده
منابع مشابه
Randomized polynuclear growth with a columnar defect
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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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2009
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-009-0216-8