253 citations · 892 across the 16 of their papers we have counts for
7 papers · 1 filter
Analytical approach to the dynamics of facilitated spin models on random networks
Peter G. Fennell, James P. Gleeson, Davide Cellai
Facilitated spin models were introduced some decades ago to mimic systems characterized by a glass transition. Recent developments have shown that a class of facilitated spin model…
Weak percolation on multiplex networks
Gareth J. Baxter, Sergey N. Dorogovtsev, José F. F. Mendes +1
Bootstrap percolation is a simple but non-trivial model. It has applications in many areas of science and has been explored on random networks for several decades. In single layer…
Singularities in ternary mixtures of k-core percolation
Davide Cellai, James P. Gleeson
Heterogeneous k-core percolation is an extension of a percolation model which has interesting applications to the resilience of networks under random damage. In this model, the not…
Critical phenomena in heterogeneous k-core percolation
Davide Cellai, Aonghus Lawlor, Kenneth A. Dawson +1
-core percolation is a percolation model which gives a notion of network functionality and has many applications in network science. In analysing the resilience of a network und…
Tricritical point in heterogeneous k-core percolation
Davide Cellai, Aonghus Lawlor, Kenneth A. Dawson +1
k-core percolation is an extension of the concept of classical percolation and is particularly relevant to understand the resilience of complex networks under random damage. A new…
Crystallization in the vicinity of dynamical arrest
Davide Cellai, Andrzej Z. Fima, Aonghus Lawlor +1
Dating from experiments more than 20 years ago, it has been realized that the crystallization of hard colloidal particles in the vicinity of dynamical arrest has several anomalies,…