Analyticity of Gaussian free field percolation observables

DOI10.1007/S00220-022-04463-1zbMath1502.82008arXiv2108.05294OpenAlexW3190649540WikidataQ114230899 ScholiaQ114230899MaRDI QIDQ2089736

Franco Severo, Christoforos Panagiotis

Publication date: 24 October 2022

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

Full work available at URL: https://arxiv.org/abs/2108.05294

zbMATH Keywords

percolationGaussian free fieldhypercubic lattice

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Equality of critical parameters for percolation of Gaussian free field level sets ⋮ Locality of percolation for graphs with polynomial growth ⋮ On the radius of Gaussian free field excursion clusters

Cites Work

• Coupling and an application to level-set percolation of the Gaussian free field
• Solidification of porous interfaces and disconnection
• Disconnection and level-set percolation for the Gaussian free field
• The probability of a large cluster in supercritical Bernoulli perlocation
• Analyticity properties and power law estimates of functions in percolation theory
• Level-set percolation for the Gaussian free field on a transient tree
• The sign clusters of the massless Gaussian free field percolate on \(\mathbb{Z}^{d}\), \(d \geqslant 3\) (and more)
• Sharpness of the phase transition in percolation models
• Percolation in strongly correlated systems: The massless Gaussian field
• Phase transition and level-set percolation for the Gaussian free field
• Disconnection by level sets of the discrete Gaussian free field and entropic repulsion
• Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution
• On macroscopic holes in some supercritical strongly dependent percolation models
• On decoupling inequalities and percolation of excursion sets of the Gaussian free field
• Existence of phase transition for percolation using the Gaussian free field
• On chemical distances and shape theorems in percolation models with long-range correlations
• The supercritical phase of percolation is well behaved
• Analyticity Results in Bernoulli Percolation
• Unnamed Item
• Unnamed Item

This page was built for publication: Analyticity of Gaussian free field percolation observables