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  • Markus HeydenreichEmail author
  • Remco van der Hofstad
Chapter
Part of the CRM Short Courses book series (CRMSC)

Abstract

We discuss a range of related problems in high-dimensional percolation. These topics have attracted considerable attention in the past two decades, yet their investigation is far from complete. We discuss the relation between critical high-dimensional percolation clusters and super-processes, oriented percolation, and scaling limits of percolation backbones. We continue to discuss long-range percolation and the asymptotic expansion of the percolation threshold. We close this chapter by describing percolation on non-amenable graphs.

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Mathematisches InstitutLudwig-Maximilians-Universität MünchenMünchenGermany
  2. 2.Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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