Mean-Field Criticality for Percolation on Planar Non-Amenable Graphs
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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.
KeywordsCritical Exponent Transitive Graph Independent Percolation
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