The scaling limit of critical Ising interfaces is $\mathrm{CLE}_{3}$

Stéphane Benoist, Clément Hongler

Type: Article

Publication Date: 2019-07-01

Citations: 16

DOI: https://doi.org/10.1214/18-aop1301

View Publication

Locations

The Annals of Probability - View
Project Euclid (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	The scaling limit of critical Ising interfaces is CLE(3)	2016	Stéphane Benoist Clément Hongler
+	Connection Probabilities of Multiple FK-Ising Interfaces	2022	Yu Feng Eveliina Peltola Hao Wu
+ PDF Chat	The incipient infinite cluster of the FK-Ising model in dimensions $d\geq 3$ and the susceptibility of the high-dimensional Ising model	2024	Romain Panis
+	Configurations of FK Ising interfaces and hypergeometric SLE	2017	Antti Kemppainen Stanislav Smirnov
+	Configurations of FK Ising interfaces and hypergeometric SLE	2017	Antti Kemppainen Stanislav Smirnov
+ PDF Chat	Configurations of FK Ising interfaces and hypergeometric SLE	2018	Antti Kemppainen Stanislav Smirnov
+ PDF Chat	Polychromatic Arm Exponents for the Critical Planar FK-Ising Model	2018	Hao Wu
+ PDF Chat	Conformal Invariance of Boundary Touching Loops of FK Ising Model	2019	Antti Kemppainen Stanislav Smirnov
+ PDF Chat	PLANAR ISING MODEL AT CRITICALITY: STATE-OF-THE-ART AND PERSPECTIVES	2019	Dmitry Chelkak
+ PDF Chat	CLE PERCOLATIONS	2017	Jason Miller Scott Sheffield⋆ Wendelin Werner
+ PDF Chat	Convergence of Ising interfaces to Schrammʼs SLE curves	2014	Dmitry Chelkak Hugo Duminil‐Copin Clément Hongler Antti Kemppainen Stanislav Smirnov
+ PDF Chat	CONFORMAL INVARIANCE OF ISING MODEL CORRELATIONS	2013	Clément Hongler
+	Convergence of the Critical Planar Ising Interfaces to Hypergeometric SLE	2016	Hao Wu
+	Ising model and s-embeddings of planar graphs	2020	Dmitry Chelkak
+	Random curves, scaling limits and Loewner evolutions	2012	Antti Kemppainen Stanislav Smirnov
+	Random curves, scaling limits and Loewner evolutions	2012	Antti Kemppainen Stanislav Smirnov
+ PDF Chat	Random Planar Maps coupled to Spin Systems	2018	Linxiao Chen
+	Conformal invariance of CLE$_κ$ on the Riemann sphere for $κ\in (4,8)$	2018	Ewain Gwynne Jason Miller Wei Qian
+ PDF Chat	On multiple SLE for the FK–Ising model	2022	Konstantin Izyurov
+	Random curves, scaling limits and Loewner evolutions	2017	Antti Kemppainen Stanislav Smirnov

Works That Cite This (17)

Action	Title	Year	Authors
+ PDF Chat	Conformal Measure Ensembles for Percolation and the FK–Ising Model	2019	Federico Camia René Conijn Demeter Kiss
+ PDF Chat	On the Crossing Estimates for Simple Conformal Loop Ensembles	2022	Tianyi Bai Yijun Wan
+ PDF Chat	Global and Local Multiple SLEs for $${\kappa \leq 4}$$ κ ≤ 4 and Connection Probabilities for Level Lines of GFF	2019	Eveliina Peltola Hao Wu
+	Existence and uniqueness of the conformally covariant volume measure on conformal loop ensembles	2024	Jason Miller Lukas Schoug
+ PDF Chat	Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces	2021	Jason Miller Scott Sheffield⋆ Wendelin Werner
+ PDF Chat	Exact correlation functions in the Brownian Loop Soup	2020	Federico Camia Valentino F. Foit Alberto Gandolfi Matthew Kleban
+ PDF Chat	Universality of spin correlations in the Ising model on isoradial graphs	2023	Dmitry Chelkak Konstantin Izyurov Rémy Mahfouf
+	Exponential Decay in the Loop O(n) Model on the Hexagonal Lattice for n > 1 and $$x<\tfrac {1}{\sqrt {3}}+\varepsilon (n)$$	2020	Alexander Glazman Ioan Manolescu
+ PDF Chat	The two-dimensional continuum random field Ising model	2022	Adam Bowditch Rongfeng Sun
+ PDF Chat	Brownian half‐plane excursion and critical Liouville quantum gravity	2022	Juhan Aru Nina Holden Ellen Powell Xin Sun

Works Cited by This (32)

Action	Title	Year	Authors
+ PDF Chat	Conformal invariance of crossing probabilities for the Ising model with free boundary conditions	2016	Stéphane Benoist Hugo Duminil‐Copin Clément Hongler
+	Towards conformal invariance of 2D lattice models	2007	Stanislav Smirnov
+ PDF Chat	Conformally Invariant Processes in the Plane	2008	Gregory F. Lawler
+	The Random-Cluster Model	2006	Geoffrey Grimmett
+ PDF Chat	Exploration trees and conformal loop ensembles	2009	Scott Sheffield⋆
+	Crossing probabilities in topological rectangles for the critical planar FK-Ising model	2016	Dmitry Chelkak Hugo Duminil‐Copin Clément Hongler
+ PDF Chat	CONFORMAL INVARIANCE OF ISING MODEL CORRELATIONS	2013	Clément Hongler
+ PDF Chat	Ising interfaces and free boundary conditions	2013	Clément Hongler Kalle Kytölä
+ PDF Chat	Interface, Surface Tension and Reentrant Pinning Transition in the 2D Ising Model	1999	C.-E. Pfister Yvan Velenik
+ PDF Chat	Smirnov’s Observable for Free Boundary Conditions, Interfaces and Crossing Probabilities	2015	Konstantin Izyurov