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Space-time covariance of KPZ growth models

By Patrik Ferrari

Appears in collection : Advances in Statistical Mechanics / Avancées en mécanique statistique

For some growth models in the Kardar-Parisi-Zhang universality class, the large time limit process of the interface profile is well established. Correlations in space-time are much less understood. Along special space-time lines, called characteristics, there is a sort of ageing. We study the covariance of the interface process along characteristic lines for generic initial conditions. Joint work with A. Occelli (arXiv:1807.02982).

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Citation data

  • DOI 10.24350/CIRM.V.19441703
  • Cite this video Ferrari Patrik (8/30/18). Space-time covariance of KPZ growth models. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19441703
  • URL https://dx.doi.org/10.24350/CIRM.V.19441703


  • Ferrari, Patrik L. and Alessandra Occelli. "Time-time covariance for last passage percolation with generic initial profile." arXiv, 9 July 2018 - https://arxiv.org/abs/1807.02982

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