Manneville: Universality

Zitat

“In particular, fundamental problems related to universality could be tackled, both for confine systems where the theory of dynamical systems is relevant (chaos and transition scenarios, e.g., the subharmonic cascade) and for extended systems where statistical physics is an appealing framework (Ginzburg–Landau formalism and nonlinear pattern selection, space–time intermittency and directed percolation).” (p. 61) #Manneville #universality #system #chaos #transition #StatisticalPhysics #percolation

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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.

Grimmett: Percolation

Zitat

“Suppose we immerse a large porous stone in a bucket of water. What is the probability that the centre of the stone is wetted? In formulating a simple stochastic model for such a situation, Broadbent and Hammersley (1957) gave birth to the ‚percolation model‘.” (p. 1) #Grimmett #Broadbent #Hammersley #percolation

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

Olsen: Archaeology

Zitat

“Archaeology has always been a force in the percolation of times by remixing the past in the present. Such polychronic simultaneities generate a time of successions.” (p. 155) #Olsen #Shanks #Webmoor #Witmore #Archaeology #percolation #time

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Olsen, Bjørnar u. a., Archaeology. The Discipline of Things. Berkeley/Los Angeles/London: University of California Press 2012.

Hammersley: Percolation and Diffusion Processes

Zitat

“A percolation process is the spread of a fluid through a medium under the influence of a random mechanism associated with the medium. This contrasts with a diffusion process, where the random mechanism is associated with the fluid.” (p. 790) #Hammersley #percolation #diffusion #process

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Hammersley, John M., Percolation Processes: Lower Bounds for the Critical Probability, in: The Annals of Mathematical Statistics 28 (1957), 790–795.