Random spanning forests and hyperbolic symmetry

DOI10.1007/s00220-020-03921-yzbMath1470.60270arXiv1912.04854OpenAlexW3108053224WikidataQ115608982 ScholiaQ115608982MaRDI QIDQ2658938

Nicholas Crawford, Andrew Swan, Roland Bauerschmidt, Tyler Helmuth

Publication date: 25 March 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04854

zbMATH Keywords

random forestsErdős-Rényi random graph

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Inequalities of FKG type
• Anderson localization for a supersymmetric sigma model
• Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
• The edge correlation of random forests
• The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\)
• Edge-reinforced random walk, vertex-reinforced jump process and the supersymmetric hyperbolic sigma model
• Elliptic stochastic quantization
• Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
• The arboreal gas and the supersphere sigma model
• Mean field frozen percolation
• Density and uniqueness in percolation
• Fourier analysis on a hyperbolic supermanifold with constant curvature
• Branched polymers and dimensional reduction
• Phase transition in the spanning-hyperforest model on complete hypergraphs
• Polynomial localization of the 2D-vertex reinforced jump process
• Dynkin isomorphism and Mermin-Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process
• Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities
• Localization for linearly edge reinforced random walks
• Towards a theory of negative dependence
• Probability on Trees and Networks
• Spanning forests andOSP(N|2M) -invariantσ-models
• Negative correlation and log-concavity
• Lectures on the Ising and Potts Models on the Hypercubic Lattice
• Hyperforests on the complete hypergraph by Grassmann integral representation
• Negative Correlation in Graphs and Matroids
• Components of Random Forests
• Critical random forests
• Negative association in uniform forests and connected graphs
• Riemannian symmetric superspaces and their origin in random-matrix theory
• Grassmann integral representation for spanning hyperforests
• The Random-Cluster Model
• Reinforced random walk
• A normal law for matchings

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