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Any Shape Can Ultimately Cross Information on Two-Dimensional Abelian Sandpile Models

  • Viet-Ha Nguyen
  • Kévin Perrot
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10875)

Abstract

We study the abelian sandpile model on the two-dimensional grid with uniform neighborhood (a number-conserving cellular automata), and prove that any family of discrete neighborhoods defined as scalings of a continuous non-flat shape can ultimately perform crossing.

Keywords

Sandpile models Crossing information Prediction problem 

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Copyright information

© IFIP International Federation for Information Processing 2018

Authors and Affiliations

  • Viet-Ha Nguyen
    • 1
    • 2
  • Kévin Perrot
    • 2
  1. 1.École Normale Supérieure de Lyon, CS departmentLyonFrance
  2. 2.Aix-Marseille Université, CNRS, Centrale Marseille, LISMarseilleFrance

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