Cover Image

One-arm exponents of the high-dimensional Ising model

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	van Engelenburg, Diederik, Garban, Christophe, Panis, Romain, Severo, Franco
Format:	Preprint
Published:	2025
Subjects:	Probability Mathematical Physics 60K35, 82B20, 82B27, 82B43
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

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)

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

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

Triviality of the scaling limits of critical Ising and $φ^4$ models with effective dimension at least four
by: Panis, Romain
Published: (2023)

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

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

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

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

Near-critical and finite-size scaling for high-dimensional lattice trees and animals
by: Liu, Yucheng, et al.
Published: (2024)

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 weakly self-avoiding walks in dimensions $d>4$
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)

Slab percolation for the Ising model revisited
by: Severo, Franco
Published: (2023)

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)

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

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

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

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

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

Behavior of the distance exponent for $\frac{1}{|x-y|^{2d}}$ long-range percolation
by: Bäumler, Johannes
Published: (2022)

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

Uniform analyticity of local observables in FK-percolation and analyticity of the Ising spontaneous magnetisation
by: D'Alimonte, Lucas, et al.
Published: (2026)

Percolation on the stationary distributions of the voter model with stirring
by: Astoquillca, Jhon, et al.
Published: (2024)

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)

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

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

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

Non-uniqueness of phase transitions for graphical representations of the Ising model on tree-like graphs
by: Hansen, Ulrik Thinggaard, et al.
Published: (2024)

The supercritical phase of the $φ^4$ model is well behaved
by: Gunaratnam, Trishen S., et al.
Published: (2025)

A General Coupling for Ising Models and Beyond
by: Hansen, Ulrik Thinggaard, et al.
Published: (2025)

Absence of weak disorder for directed polymers on supercritical percolation clusters
by: Nitzschner, Maximilian
Published: (2022)

The random field Ising chain domain-wall structure in the large interaction limit
by: Collin, Orphée, et al.
Published: (2024)

The polynomial growth of the infinite long-range percolation cluster
by: Bäumler, Johannes
Published: (2023)

The Uniform Even Subgraph and Its Connection to Phase Transitions of Graphical Representations of the Ising Model
by: Hansen, Ulrik Thinggaard, et al.
Published: (2023)

Random tangled currents for $φ^4$: translation invariant Gibbs measures and continuity of the phase transition
by: Gunaratnam, Trishen S., et al.
Published: (2022)