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20022026
most citedIncomplete ordering of the voter model on small-world networks

251 citations · 1.1k across the 37 of their papers we have counts for

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cond-mat.stat-mech2006★ 17 cited

Universality class of triad dynamics on a triangular lattice

Filippo Radicchi, Daniele Vilone, Hildegard Meyer-Ortmanns

We consider triad dynamics as it was recently considered by Antal \emph{et al.} [T. Antal, P. L. Krapivsky, and S. Redner, Phys. Rev. E {\bf 72}, 036121 (2005)] as an approach to s…

cond-mat.stat-mech2005★ 4 cited

Breakdown of metastable step-flow growth on vicinal surfaces induced by nucleation

Daniele Vilone, Claudio Castellano, Paolo Politi

We consider the growth of a vicinal crystal surface in the presence of a step-edge barrier. For any value of the barrier strength, measured by the length l_es, nucleation of island…

cond-mat.stat-mech2003★ 107 cited

Solution of voter model dynamics on annealed small-world networks

Daniele Vilone, Claudio Castellano

An analytical study of the behavior of the voter model on the small-world topology is performed. In order to solve the equations for the dynamics, we consider an annealed version o…

cond-mat.stat-mech2002★ 60 cited

Ordering phase transition in the one-dimensional Axelrod model

Daniele Vilone, Alessandro Vespignani, Claudio Castellano

We study the one-dimensional behavior of a cellular automaton aimed at the description of the formation and evolution of cultural domains. The model exhibits a non-equilibrium tran…

cond-mat.stat-mech2002★ 251 cited

Incomplete ordering of the voter model on small-world networks

Claudio Castellano, Daniele Vilone, Alessandro Vespignani

We investigate how the topology of small-world networks affects the dynamics of the voter model for opinion formation. We show that, contrary to what occurs on regular topologies w…