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Showing 1 to 2 of 2 for “"Arboreal gas"”.
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A Walk through the Forest: the Geometry and Topology of Random Systems
… models, the uniform spanning forest, the arboreal gas and countable Markov chains, and we will be interested in both the qualitative and quantitative behaviour of these systems over large scales. The quantitative properties of both the random system and its underlying medium are in this …
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Superprobability on Graphs
… hyperbolic sigma models to study the arboreal gas. This is a model of unrooted random forests on a graph, where the probability of a forest $F$ with $|F|$ edges is multiplicatively weighted by a parameter $\beta^{|F|} > 0$. In simple terms, it can be defined to be Bernoulli bond …