Imagen de Portada

The Supercritical Loop O(1) and Random Current models: Uniqueness and Mixing

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Hansen, Ulrik Thinggaard, Klausen, Frederik Ravn
Formato:	Preprint
Publicado:	2026
Materias:	Probability Mathematical Physics 82B05 82B20, 82B26, 82B43, 05C80, 60K35
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

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

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

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

Half-plane non-coexistence without FKG
por: Klausen, Frederik Ravn, et al.
Publicado: (2026)

Macroscopic loops in the loop O(n) model via the XOR trick
por: Crawford, Nicholas, et al.
Publicado: (2020)

Long-range order in discrete spin systems
por: Peled, Ron, et al.
Publicado: (2020)

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

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

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

Phase Transitions in Ising models: the Semi-infinite with decaying field and the Random Field Long-range
por: Maia, João
Publicado: (2024)

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

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

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

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

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

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

Ising model on a Galton-Watson tree with a sparse random external field
por: Ventura, Irene Ayuso, et al.
Publicado: (2023)

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

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

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

Isoperimetric Inequalities and Supercritical Percolation on High-dimensional Graphs
por: Diskin, Sahar, et al.
Publicado: (2023)

The Ising model: Highlights and perspectives
por: Kuelske, Christof
Publicado: (2025)

Phase Transitions in Multidimensional Long-Range Random Field Ising Models
por: Affonso, Lucas, et al.
Publicado: (2023)

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

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

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

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

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

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

Enlargement of subgraphs of infinite graphs by Bernoulli percolation
por: Okamura, Kazuki
Publicado: (2015)

Estimate of the exit time for the Long Range Ising model on random regular graphs
por: Jacquier, Vanessa
Publicado: (2025)

Aizenman-Wehr argument for a class of disordered gradient models
por: Buchholz, Simon, et al.
Publicado: (2023)

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

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

Evolution of Discordance
por: Hollander, F. den
Publicado: (2024)

Long-Range Ising Models: Contours, Phase Transitions and Decaying Fields
por: Affonso, Lucas, et al.
Publicado: (2021)

Phase Transitions on 1d Long-Range Ising Models with Decaying Fields: A Direct Proof via Contours
por: Affonso, Lucas, et al.
Publicado: (2024)

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

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

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