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Showing 1 to 4 of 4 for “"Uniform spanning tree"”.
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Conformally invariant scaling limits of random curves and correlations
… thesis, we study two related random models, the uniform spanning tree (UST) and the loop-erased random walk (LERW). We obtain conformally covariant expressions for the scaling limit probabilities of certain UST branch connectivities and of LERW boundary visits. These expressions are solutions to …
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Continuum Methods and Tightness Results for Non-Simple SLE and CLE: Existence, Interactions, and Metric Approximations
… discrete methods, namely the convergence of the uniform spanning tree (UST) to SLE8. We bypass discrete models by using the imaginary geometry framework, in which SLE curves arise as flow lines of the Gaussian Free Field (GFF). We work with whole-plane space-filling SLEκ parameterized by Lebesgue …
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A Walk through the Forest: the Geometry and Topology of Random Systems
… and dynamic random conductance 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 …