Roberto H. Schonmann
Mean-field criticality for percolation on planar non-amenable graphs
(208K, postcript)
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.