01-286 Roberto H. Schonmann
Mean-field criticality for percolation on planar non-amenable graphs (208K, postcript) Jul 25, 01
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. The critical exponents $\beta$, $\gamma$, $\delta$ and $\Delta$ 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.

Files: 01-286.src( 01-286.comments , 01-286.keywords , mfp.ps )