Absence of site percolation at criticality in Z2 x {0,1}

M. Damron, Charles M. Newman, Vladas Sidoravicius

Research output: Contribution to journalArticle

Abstract

In this note we consider site percolation on a two dimensional sandwich of thickness two, the graph Z^2 x {0,1}. We prove that there is no percolation at the critical point. The same arguments are valid for a sandwich of thickness three with periodic boundary conditions. It remains an open problem to extend this result to other sandwiches.
Original languageUndefined
Article number1211.4138
JournalarXiv
StatePublished - Nov 17 2012

Keywords

  • math.PR

Cite this

Damron, M., Newman, C. M., & Sidoravicius, V. (2012). Absence of site percolation at criticality in Z2 x {0,1}. arXiv, [1211.4138].