84 citations · 143 across the 5 of their papers we have counts for
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cond-mat.stat-mech2016★ 8 cited
Graph spectral characterisation of the XY model on complex networks
Paul Expert, Sarah de Nigris, Taro Takaguchi +1
There is recent evidence that the spin model on complex networks can display three different macroscopic states in response to the topology of the network underpinning the int…
cond-mat.stat-mech2016★ 84 cited
Persistent Homology analysis of Phase Transitions
Irene Donato, Matteo Gori, Marco Pettini +4
Persistent homology analysis, a recently developed computational method in algebraic topology, is applied to the study of the phase transitions undergone by the so-called XY-mean f…
cond-mat.stat-mech2013★ 26 cited
Critical behaviour of the XY -rotors model on regular and small world networks
Sarah De Nigris, Xavier Leoncini
We study the XY-rotors model on small networks whose number of links scales with the system size , where . We first focus on regular one dimensional r…