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.