Description

Book Synopsis
Based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held in 2017. The articles give an introduction to the most-studied models; first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation.

Table of Contents
  • M. Damron, Random growth models: Shape and convergence rate
  • J. Hanson, Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation
  • P. Sosoe, Fluctuations in first-passage percolation
  • F. Rassoul-Agha, Busemann functions, geodesics, and the competition interface for directed last-passage percolation
  • T. Seppalainen, The corner growth model with exponential weights
  • I. Corwin, Exactly solving the KPZ equation
  • Index.

    Random Growth Models

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    Order before 4pm tomorrow for delivery by Wed 21 Jan 2026.

    A Hardback by Michael Damron, Firas Rassoul-Agha, Timo Seppalainen

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      View other formats and editions of Random Growth Models by Michael Damron

      Publisher: MP-AMM American Mathematical
      Publication Date: 11/30/2018 12:00:00 AM
      ISBN13: 9781470435530, 978-1470435530
      ISBN10: 1470435535
      Also in:
      Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis
      Based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held in 2017. The articles give an introduction to the most-studied models; first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation.

      Table of Contents
      • M. Damron, Random growth models: Shape and convergence rate
      • J. Hanson, Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation
      • P. Sosoe, Fluctuations in first-passage percolation
      • F. Rassoul-Agha, Busemann functions, geodesics, and the competition interface for directed last-passage percolation
      • T. Seppalainen, The corner growth model with exponential weights
      • I. Corwin, Exactly solving the KPZ equation
      • Index.

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