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Communications in Mathematical Physics

, Volume 225, Issue 3, pp 453–463 | Cite as

Mean-Field Criticality for Percolation on Planar Non-Amenable Graphs

  • Roberto H. Schonmann

Abstract:

The critical exponents β, γ, δ and Δ are proved to exist and to take their mean-field values for independent percolation on the following classes of infinite, locally finite, connected transitive graphs: (1) Non-amenable planar with one end. (2) Unimodular with infinitely many ends.

Keywords

Critical Exponent Transitive Graph Independent Percolation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Roberto H. Schonmann
    • 1
  1. 1.Department of Mathematics, University of California at Los Angeles, Los Angeles, CA 90095, USA.¶E-mail: rhs@math.ucla.eduUS

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