Cover Image

Supercritical percolation on finite transitive graphs I: Uniqueness of the giant component

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Easo, Philip, Hutchcroft, Tom
Format:	Preprint
Published:	2021
Subjects:	Probability Mathematical Physics Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Existence of a percolation threshold on finite transitive graphs
by: Easo, Philip
Published: (2022)

Non-triviality of the phase transition for percolation on finite transitive graphs
by: Hutchcroft, Tom, et al.
Published: (2021)

Critical long-range percolation I: High effective dimension
by: Hutchcroft, Tom
Published: (2025)

Critical long-range percolation II: Low effective dimension
by: Hutchcroft, Tom
Published: (2025)

Critical long-range percolation III: The upper critical dimension
by: Hutchcroft, Tom
Published: (2025)

A discontinuous percolation phase transition on the hierarchical lattice
by: Bäumler, Johannes, et al.
Published: (2025)

Pointwise two-point function estimates and a non-pertubative proof of mean-field critical behaviour for long-range percolation
by: Hutchcroft, Tom
Published: (2024)

Recursive Packing Bounds for Supercritical Disconnection in Bernoulli Site Percolation
by: Li, Zhongyang
Published: (2026)

Dimension dependence of critical phenomena in long-range percolation
by: Hutchcroft, Tom
Published: (2025)

Gaussian to log-normal transition for independent sets in a percolated hypercube
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2024)

Geometry of critical discrete structures: percolation on the hierarchical lattice
by: Sen, Sanchayan
Published: (2025)

Uniqueness of the infinite tree in low-dimensional random forests
by: Halberstam, Noah, et al.
Published: (2023)

Sharpness and locality for percolation on finite transitive graphs
by: Easo, Philip
Published: (2024)

Decoupling of clusters in independent sets in a percolated hypercube
by: Chowdhury, Mriganka Basu Roy, et al.
Published: (2025)

Self-avoiding walks on cubic graphs and local transformations
by: Grant, Benjamin, et al.
Published: (2026)

Percolation transition for random forests in $d\geq 3$
by: Bauerschmidt, Roland, et al.
Published: (2021)

Shotgun assembly of random graphs
by: Johnston, Tom, et al.
Published: (2022)

The geometry of the giant component of random geometric graphs
by: Dubin, Karoline, et al.
Published: (2026)

Supercritical sharpness for Voronoi percolation
by: Dembin, Barbara, et al.
Published: (2023)

Logarithmic corrections to the Alexander-Orbach conjecture for the four-dimensional uniform spanning tree
by: Halberstam, Noah, et al.
Published: (2022)

Uniform finite presentation for groups of polynomial growth
by: Easo, Philip, et al.
Published: (2023)

Supercritical sharpness of percolation
by: Diskin, Sahar, et al.
Published: (2026)

On the critical fugacity of the hard-core model on regular bipartite graphs
by: Hadas, Daniel, et al.
Published: (2026)

Phase transition for Minesweeper
by: Louf, Baptiste
Published: (2025)

Uniqueness of the infinite cluster for monotone percolation models without insertion tolerance
by: Panagiotis, Christoforos, et al.
Published: (2026)

Diameters and mixing times for giant components of random graphs with given degrees
by: Addario-Berry, Louigi, et al.
Published: (2026)

Emergence in graphs with near-extreme constraints
by: Radin, Charles, et al.
Published: (2024)

Spin systems with hyperbolic symmetry: a survey
by: Bauerschmidt, Roland, et al.
Published: (2021)

Convergence of the Environment Seen from Geodesics in Exponential Last-Passage Percolation
by: Martin, James B., et al.
Published: (2021)

Edge Statistics for Lozenge Tilings of Polygons, II: Airy Line Ensemble
by: Aggarwal, Amol, et al.
Published: (2021)

The skew Brownian permuton: a new universality class for random constrained permutations
by: Borga, Jacopo
Published: (2021)

Identity between Restricted Cauchy Sums for the $q$-Whittaker and Skew Schur Polynomials
by: Imamura, Takashi, et al.
Published: (2021)

Counting words without strictly increasing subwords of fixed length
by: Sekhon, Senan
Published: (2025)

Permutons, meanders, and SLE-decorated Liouville quantum gravity
by: Borga, Jacopo, et al.
Published: (2022)

Fluctuations in the Aztec diamonds via a space-like maximal surface in Minkowski 3-space
by: Chelkak, Dmitry, et al.
Published: (2020)

Liouville Quantum Duality and Random Planar Maps
by: Duplantier, Bertrand, et al.
Published: (2025)

Scaling limits of critical FK-decorated random planar maps with $q=4$
by: Da Silva, William, et al.
Published: (2025)

Ising model with external magnetic field on random planar maps: Critical exponents
by: Tokka, Nicolas
Published: (2025)

Liouville Quantum Duality and Random Planar Maps II
by: Duplantier, Bertrand, et al.
Published: (2026)

Interface fluctuations associated with split Fermi seas
by: Walsh, Harriet
Published: (2023)