Slightly supercritical percolation on non‐amenable graphs I: The distribution of finite clusters (Q6075038)

scientific article; zbMATH DE number 7740409

Language	Label	Description	Also known as
English	Slightly supercritical percolation on non‐amenable graphs I: The distribution of finite clusters	scientific article; zbMATH DE number 7740409

Statements

instance of

scholarly article

0 references

title

Slightly supercritical percolation on non‐amenable graphs I: The distribution of finite clusters (English)

0 references

author

Tom Hutchcroft

0 references

published in

Proceedings of the London Mathematical Society

0 references

publication date

20 September 2023

0 references

full work available at URL

https://arxiv.org/abs/2002.02916

0 references

zbMATH Keywords

supercritical percolation

0 references

finite clusters

0 references

non-amenable graph

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Most trees are short and fat

0 references

Sub-Gaussian tail bounds for the width and height of conditioned Galton-Watson trees

0 references

Sharpness of the phase transition in percolation models

0 references

Tree graph inequalities and critical behavior in percolation models

0 references

Percolation critical exponents under the triangle condition

0 references

Critical percolation on any nonamenable group has no infinite clusters

0 references

Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers

0 references

Paths in graphs

0 references

Random subgraphs of finite graphs: I. The scaling window under the triangle condition

0 references

Random subgraphs of finite graphs. II: The lace expansion and the triangle condition

0 references

Random subgraphs of finite graphs. III: The phase transition for the \(n\)-cube

0 references

The Wulff crystal in Ising and percolation models. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004

0 references

Restricted Percolation Critical Exponents in High Dimensions

0 references

The correlation length for the high-density phase of Bernoulli perlocation

0 references

Upper bounds on the percolation correlation length

0 references

Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\)

0 references

Sharp phase transition for the random-cluster and Potts models via decision trees

0 references

A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model

0 references

Hyperbolicity vs. amenability for planar graphs

0 references

Mean-field behavior for nearest-neighbor percolation in \(d>10\)

0 references

Percolation

0 references

The supercritical phase of percolation is well behaved

0 references

Mean-field critical behaviour for percolation in high dimensions

0 references

Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models.

0 references

Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution

0 references

Progress in high-dimensional percolation and random graphs

0 references

Slightly subcritical hypercube percolation

0 references

Percolation on hyperbolic graphs

0 references

The \(L^2\) boundedness condition in nonamenable percolation

0 references

Locality of the critical probability for transitive graphs of exponential growth

0 references

New critical exponent inequalities for percolation and the random cluster model

0 references

Nonuniqueness and mean-field criticality for percolation on nonunimodular transitive graphs

0 references

Scaling relations for 2D-percolation

0 references

The probability of a large cluster in supercritical Bernoulli perlocation

0 references

Percolation on a product of two trees

0 references

The Alexander-Orbach conjecture holds in high dimensions

0 references

Arm exponents in high dimensional percolation

0 references

Values of Brownian intersection exponents. I: Half-plane exponents

0 references

Values of Brownian intersection exponents. II: Plane exponents

0 references

Values of Brownian intersection exponents. III: Two-sided exponents

0 references

Q4850458

0 references

Probability on Trees and Networks

0 references

Q4722983

0 references

Non-amenable Cayley graphs of high girth have \(p_c < p_u\) and mean-field exponents

0 references

Gap exponents for percolation processes with triangle condition

0 references

On non-uniqueness of percolation on nonamenable Cayley graphs

0 references

Finite-energy infinite clusters without anchored expansion

0 references

Upper bound on the expected size of the intrinsic ball

0 references

Multiplicity of phase transitions and mean-field criticality on highly non-amenable graphs.

0 references

Scaling limits of loop-erased random walks and uniform spanning trees

0 references

Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits

0 references

Critical exponents for two-dimensional percolation

0 references

Unlacing hypercube percolation: a survey

0 references

Hypercube percolation

0 references

Q3376041

0 references

Identifiers

zbMATH Open document ID

0 references

0 references

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6075038