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math.PR2020
Cluster size in bond percolation on the Platonic solids
Nicolas Lanchier, Axel La Salle
The main objective of this paper is to study the size of a typical cluster of bond percolation on each of the five Platonic solids: the tetrahedron, the cube, the octahedron, the d…
math.PR2020
Probability of consensus in the multivariate Deffuant model on finite connected graphs
Nicolas Lanchier, Hsin-Lun Li
The Deffuant model is a spatial stochastic model for the dynamics of opinions in which individuals are located on a connected graph representing a social network and characterized…