Guyon et al.: Percolation

Zitat

“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

Guyon, Étienne/Pedregosa, Alice/Salviat, Béatrice, Matière et matériaux. De quoi est fait le monde? (Pour la Science). Paris: Belin 2010.

Grimmett: Percolation Theory

Zitat

“Percolation theory is concerned primarily with the existence of such ‚open paths‘.” (p. 1) #Grimmett #percolation

Grimmett, Geoffrey R., Percolation. With 76 Illustrations. New York: Springer 1989. 296 S., ISBN 978-1-4757-4210-7.

Guyon et al.: Percolation

Zitat

“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

Guyon, Étienne/Pedregosa, Alice/Salviat, Béatrice, Matière et matériaux. De quoi est fait le monde? (Pour la Science). Paris: Belin 2010.

Manneville: Percolation

Zitat

“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

Manneville, Paul, Rayleigh–Bénard Convection: Thirty Years of Experimental, Theoretical, and Modeling Work, in: Innocent Mutabazi/José Eduardo Wesfreid/Étienne Guyon (Hgg.), Dynamics of Spatio-Temporal Cellular Structures. Henri Benard Centenary Review. New York: Springer 2006, 41–65.

Zheng: Phase Transition

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„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

Zheng, Zhiming, Supervisor’s Foreword, in: Explosive Percolation in Random Networks. Berlin/Heidelberg: Springer 2014, vii–viii.