Probability Theory and Related Fields

, Volume 147, Issue 3–4, pp 565–581

Randomized polynuclear growth with a columnar defect

  • Vincent Beffara
  • Vladas Sidoravicius
  • Maria Eulalia Vares

DOI: 10.1007/s00440-009-0216-8

Cite this article as:
Beffara, V., Sidoravicius, V. & Vares, M.E. Probab. Theory Relat. Fields (2010) 147: 565. doi:10.1007/s00440-009-0216-8


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.


Poly-nuclear growth Interacting random walks Zero-temperature Glauber dynamics Polymer pinning 

Mathematics Subject Classification (2000)

60K35 60K37 

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Vincent Beffara
    • 1
  • Vladas Sidoravicius
    • 2
    • 3
  • Maria Eulalia Vares
    • 4
  1. 1.UMPA, ENS LyonLyon Cedex 07France
  2. 2.CWIAmsterdamThe Netherlands
  3. 3.IMPARio de JaneiroBrazil
  4. 4.CBPFRio de JaneiroBrazil

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