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Randomized polynuclear growth with a columnar defect
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  • Published: 16 April 2009

Randomized polynuclear growth with a columnar defect

  • Vincent Beffara1,
  • Vladas Sidoravicius2,3 &
  • Maria Eulalia Vares4 

Probability Theory and Related Fields volume 147, pages 565–581 (2010)Cite this article

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  • 5 Citations

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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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Author information

Authors and Affiliations

  1. UMPA, ENS Lyon, 46 Allée d’Italie, 69364, Lyon Cedex 07, France

    Vincent Beffara

  2. CWI, Kruislaan 413, 1098SJ, Amsterdam, The Netherlands

    Vladas Sidoravicius

  3. IMPA, Estrada Dona Castorina 110, Rio de Janeiro, RJ, 22460-320, Brazil

    Vladas Sidoravicius

  4. CBPF, Rua Dr. Xavier Sigaud 150, Rio de Janeiro, RJ, 22290-180, Brazil

    Maria Eulalia Vares

Authors
  1. Vincent Beffara
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  2. Vladas Sidoravicius
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  3. Maria Eulalia Vares
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Corresponding author

Correspondence to Vincent Beffara.

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Cite this article

Beffara, V., Sidoravicius, V. & Vares, M.E. Randomized polynuclear growth with a columnar defect. Probab. Theory Relat. Fields 147, 565–581 (2010). https://doi.org/10.1007/s00440-009-0216-8

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  • Received: 01 February 2007

  • Revised: 03 March 2009

  • Published: 16 April 2009

  • Issue Date: July 2010

  • DOI: https://doi.org/10.1007/s00440-009-0216-8

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Keywords

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

Mathematics Subject Classification (2000)

  • 60K35
  • 60K37
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