Trees and matchings.
Kenyon, Richard W., Propp, James G., Wilson, David B. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Directed animals and gas models revisited.”
Trees and matchings.
Generating random elements of finite distributive lattices.
Propp, James (1997)
The Electronic Journal of Combinatorics [electronic only]
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Bootstrap percolation and diffusion in random graphs with given vertex degrees.
Amini, Hamed (2010)
The Electronic Journal of Combinatorics [electronic only]
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On disagreement percolation and maximality of the critical value for iid percolation.
Jonasson, Johan (2001)
Electronic Journal of Probability [electronic only]
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A monotonicity result for hard-core and Widom-Rowlinson models on certain -dimensional lattices.
Häggström, Olle (2002)
Electronic Communications in Probability [electronic only]
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The jammed phase of the Biham-Middleton-Levine traffic model.
Angel, Omer, Holroyd, Alexander E., Martin, James B. (2005)
Electronic Communications in Probability [electronic only]
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Near-minimal spanning trees : a scaling exponent in probability models
David J. Aldous, Charles Bordenave, Marc Lelarge (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We study the relation between the minimal spanning tree (MST) on many random points and the “near-minimal” tree which is optimal subject to the constraint that a proportion of its edges must be different from those of the MST. Heuristics suggest that, regardless of details of the probability model, the ratio of lengths should scale as 1+( ). We prove this in the model of the lattice with random edge-lengths and in the euclidean model.
Random even graphs.
Grimmett, Geoffrey, Janson, Svante (2009)
The Electronic Journal of Combinatorics [electronic only]
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Lattice paths, sampling without replacement, and limiting distributions.
Kuba, M., Panholzer, A., Prodinger, H. (2009)
The Electronic Journal of Combinatorics [electronic only]
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Aperiodic non-isomorphic lattices with equivalent percolation and random-cluster models.
Markström, Klas, Wierman, John C. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Markov chain model of phytoplankton dynamics
Radosław Wieczorek (2010)
International Journal of Applied Mathematics and Computer Science
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A discrete-time stochastic spatial model of plankton dynamics is given. We focus on aggregative behaviour of plankton cells. Our aim is to show the convergence of a microscopic, stochastic model to a macroscopic one, given by an evolution equation. Some numerical simulations are also presented.