On a randomized PNG model with a columnar defect
Probability
2009-03-03 v2
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.
Keywords
Cite
@article{arxiv.math/0702012,
title = {On a randomized PNG model with a columnar defect},
author = {Vincent Beffara and Vladas Sidoravicius and Maria Eulalia Vares},
journal= {arXiv preprint arXiv:math/0702012},
year = {2009}
}