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cond-mat.stat-mech2006★ 31 cited
Planar Voronoi cells : the violation of Aboav's law explained
Hendrik-Jan Hilhorst
In planar cellular systems denotes the average sidedness of a cell neighboring an -sided cell. Aboav's empirical law states that is linear in . A downward curv…
cond-mat.stat-mech2006★ 6 cited
Single-site approximation for reaction-diffusion processes
L. Canet, H. J. Hilhorst
We consider the branching and annihilating random walk and with reaction rates and , respectively, and hopping rate , and study the phase diagram in t…