“On parle alors de percolation d’invasion, par référence au modèle mathématique de la percolation qui décrit des effets de connectivité dans des réseaux.” (p. 273) #Guyon #percolation #connectivité #réseaux
“Percolation theory is concerned primarily with the existence of such ‚open paths‘.” (p. 1) #Grimmett #percolation
“Les modèles de percolation utilisant des réseaux de liens partiellement connectés permettent de rendre compte de la transition entre un sol et un gel.” (p. 123) #Guyon #percolation #réseaux
“The theoretical account of this scenario follows Pomeau’s idea of an equivalence of STI with a time–oriented stochastic process known as directed percolation in statistical physics.” (p. 57) #Manneville #Pomeau #STI #StatisticalPhysics #percolation
„Percolation transition, the transition from a disconnected state to a connected one, has been regarded as a fundamental model of phase transitions in nonequilibrium systems. One of the most fundamental characteristics of a phase transition is its order, i.e., whether the macroscopic quantity affects changes continuously or discontinuously at the transition point. The percolation phase transitions in random networks were originally considered to be robust continuous phase transitions.“ (p. vii) #Zheng #percolation #PhaseTransition #random #network