84 citations · 143 across the 5 of their papers we have counts for
5 papers
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…
Onset of anomalous diffusion from local motion rules
Sarah de Nigris, Timoteo Carletti, Renaud Lambiotte
Anomalous diffusion processes, in particular superdiffusive ones, are known to be efficient strategies for searching and navigation by animals and also in human mobility. One way t…
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…
Crafting networks to achieve, or not achieve, chaotic states
Sarah De Nigris, Xavier Leoncini
The influence of networks topology on collective properties of dynamical systems defined upon it is studied in the thermodynamic limit. A network model construction scheme is propo…
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…