Cover Image

Near-critical and finite-size scaling for high-dimensional lattice trees and animals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Liu, Yucheng, Slade, Gordon
Format:	Preprint
Published:	2024
Subjects:	Probability Mathematical Physics 60K35, 82B27, 82B41, 82B43
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Crossover from subcritical to critical decay: random walk, self-avoiding walk, percolation
by: Liu, Yucheng, et al.
Published: (2026)

Gaussian deconvolution and the lace expansion for spread-out models
by: Liu, Yucheng, et al.
Published: (2023)

Gaussian deconvolution and the lace expansion
by: Liu, Yucheng, et al.
Published: (2023)

High-dimensional long-range statistical mechanical models have random walk correlation functions
by: Liu, Yucheng
Published: (2025)

An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions $d>6$
by: Duminil-Copin, Hugo, et al.
Published: (2024)

Decay of connection probability in high-dimensional continuum percolation
by: Dickson, Matthew, et al.
Published: (2025)

The torus plateau for the high-dimensional Ising model
by: Liu, Yucheng, et al.
Published: (2024)

Entropic repulsion and scaling limit for a finite number of non-intersecting subcritical FK interfaces
by: D'Alimonte, Lucas
Published: (2023)

A general approach to massive upper bound for two-point function with application to self-avoiding walk torus plateau
by: Liu, Yucheng
Published: (2023)

Boundary conditions and universal finite-size scaling for the hierarchical $|φ|^4$ model in dimensions 4 and higher
by: Michta, Emmanuel, et al.
Published: (2023)

One-arm exponents of the high-dimensional Ising model
by: van Engelenburg, Diederik, et al.
Published: (2025)

One-arm exponents of high-dimensional percolation revisited
by: van Engelenburg, Diederik, et al.
Published: (2025)

The incipient infinite cluster of the FK-Ising model in dimensions $d\geq 3$ and the susceptibility of the high-dimensional Ising model
by: Panis, Romain
Published: (2024)

Isoperimetric lower bounds for critical exponents for long-range percolation
by: Bäumler, Johannes, et al.
Published: (2022)

Spectral dimensions for one-dimensional critical long-range percolation
by: Fan, Zherui, et al.
Published: (2025)

The polynomial growth of effective resistances in one-dimensional critical long-range percolation
by: Ding, Jian, et al.
Published: (2025)

Polynomial lower bound on the effective resistance for the one-dimensional critical long-range percolation
by: Ding, Jian, et al.
Published: (2024)

Boundary conditions and the two-point function plateau for the hierarchical $|φ|^4$ model in dimensions 4 and higher
by: Park, Jiwoon, et al.
Published: (2024)

Comparison of arm exponents in planar FK-percolation
by: Gassmann, Loïc, et al.
Published: (2024)

An upper bound on geodesic length in 2D critical first-passage percolation
by: Bates, Erik, et al.
Published: (2023)

Uniqueness and dimension for the geodesic of the critical long-range percolation metric
by: Ding, Jian, et al.
Published: (2025)

An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $d>4$
by: Duminil-Copin, Hugo, et al.
Published: (2024)

Near-critical Ornstein--Zernike theory for the planar random-cluster model
by: D'Alimonte, Lucas, et al.
Published: (2025)

The Wulff crystal of self-dual FK-percolation becomes round when approaching criticality
by: Manolescu, Ioan, et al.
Published: (2026)

Conformally covariant probabilities, operator product expansions, and logarithmic correlations in two-dimensional critical percolation
by: Camia, Federico, et al.
Published: (2024)

Exploring the phase transition of planar FK-percolation
by: Manolescu, Ioan
Published: (2025)

Critical scaling profile for trees and connected subgraphs on the complete graph
by: Liu, Yucheng, et al.
Published: (2024)

Characterizing the limiting critical Potts measures on locally regular-tree-like expander graphs
by: Du, Hang, et al.
Published: (2025)

Limiting distribution of the chemical distance in high dimensional critical percolation
by: Chatterjee, Shirshendu, et al.
Published: (2025)

Robust construction of the incipient infinite cluster in high dimensional critical percolation
by: Chatterjee, Shirshendu, et al.
Published: (2025)

$SLE_6$ and 2-d critical bond percolation on the square lattice
by: Zhou, Wang
Published: (2024)

Asymptotics for the percolation threshold of finitary random interlacements in four and higher dimensions
by: Bi, Yijie, et al.
Published: (2025)

Sharp bounds on the half-space two-point function for high-dimensional Bernoulli percolation
by: Panis, Romain, et al.
Published: (2025)

Percolation critical probabilities of matching lattice-pairs
by: Grimmett, Geoffrey R., et al.
Published: (2022)

New lower bounds for the (near) critical Ising and $φ^4$ models' two-point functions
by: Duminil-Copin, Hugo, et al.
Published: (2024)

Scaling limit of the cluster size distribution for the random current measure on the complete graph
by: Krachun, Dmitrii, et al.
Published: (2023)

Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor
by: Gheissari, Reza, et al.
Published: (2021)

On level line fluctuations of SOS surfaces above a wall
by: Caddeo, Patrizio, et al.
Published: (2023)

The limiting law of the Discrete Gaussian level-lines
by: Chen, Joseph, et al.
Published: (2025)

On an epidemic model on finite graphs
by: Benjamini, Itai, et al.
Published: (2016)