Renormalization of crossing probabilities in the planar random-cluster model

zbMath1482.82034arXiv1901.08294MaRDI QIDQ5154978

Vincent Tassion, Hugo Duminil-Copin

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/1901.08294

zbMATH Keywords

percolationrandom-cluster modelcrossing probabilities

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Percolation (82B43) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (9)

Strict monotonicity, continuity, and bounds on the Kertész line for the random-cluster model on Zd ⋮ Spatial networks and percolation. Abstracts from the workshop held January 17--23, 2021 (hybrid meeting) ⋮ Planar random-cluster model: scaling relations ⋮ Schauder Estimates for Fractional Laplacians and NonLocal, One-Dimensional Singular SPDEs ⋮ Crossing probabilities for planar percolation ⋮ The emergence of a giant component in one-dimensional inhomogeneous networks with long-range effects ⋮ Structure of Gibbs measure for planar FK-percolation and Potts models ⋮ Distances in \(\frac{1}{\|x-y\|^{2d}}\) percolation models for all dimensions ⋮ Planar random-cluster model: fractal properties of the critical phase

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