Planar random-cluster model: fractal properties of the critical phase

DOI10.1007/s00440-021-01060-6zbMath1475.60195arXiv2007.14707OpenAlexW3174868032MaRDI QIDQ2052704

Ioan Manolescu, Hugo Duminil-Copin, Vincent Tassion

Publication date: 26 November 2021

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14707

zbMATH Keywords

Bernoulli percolationFK-Ising model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (8)

Spatial networks and percolation. Abstracts from the workshop held January 17--23, 2021 (hybrid meeting) ⋮ Planar random-cluster model: scaling relations ⋮ Noise sensitivity of percolation via differential inequalities ⋮ Upper bounds on the one-arm exponent for dependent percolation models ⋮ Long-range order for critical Book-Ising and Book-percolation ⋮ An upper bound on the two-arms exponent for critical percolation on \(\mathbb{Z}^d\) ⋮ Convergence of fermionic observables in the massive planar FK-Ising model ⋮ Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\)

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