Chemical Distances for Percolation of Planar Gaussian Free Fields and Critical Random Walk Loop Soups

Jian Ding, Li Li

Type: Article

Publication Date: 2018-05-02

Citations: 20

DOI: https://doi.org/10.1007/s00220-018-3140-x

View Publication

Download PDF

Locations

Communications in Mathematical Physics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soups	2016	Jian Ding Li Li
+	Chemical distances for level-set percolation of two-dimensional discrete Gaussian free fields	2016	Jian Ding Li Li
+ PDF Chat	Percolation of discrete GFF in dimension two I. Arm events in the random walk loop soup	2024	Yifan Gao Pierre Nolin Wei Qian
+	Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup	2018	Caio César de Souza Alves Artëm Sapozhnikov
+	Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup	2018	Caio Alves Artëm Sapozhnikov
+ PDF Chat	Incipient infinite clusters and self-similarity for metric graph Gaussian free fields and loop soups	2024	Zhenhao Cai Jian Ding
+ PDF Chat	Percolation for level-sets of Gaussian free fields on metric graphs	2020	Jian Ding Mateo Wirth
+	Crossing exponent in the Brownian loop soup	2023	Antoine Jégo Titus Lupu Wei Qian
+	Percolation for level-sets of Gaussian free fields on metric graphs	2018	Jian Ding Mateo Wirth
+	Percolation for two-dimensional excursion clouds and the discrete Gaussian free field	2022	Alexander Drewitz Olof Elias Alexis Prévost Johan Tykesson Fredrik Viklund
+ PDF Chat	Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup	2019	Caio Alves Artëm Sapozhnikov
+ PDF Chat	On chemical distances and shape theorems in percolation models with long-range correlations	2014	Alexander Drewitz Balázs Ráth Artëm Sapozhnikov
+ PDF Chat	Critical level set percolation for the GFF in $d>6$: comparison principles and some consequences	2024	Shirshendu Ganguly K. Jing
+ PDF Chat	The Sign Clusters of the Massless Gaussian Free Field Percolate on $${\mathbb{Z}^{d}, d \geqslant 3}$$ Z d , d ⩾ 3 (and more)	2018	Alexander Drewitz Alexis Prévost Pierre‐François Rodriguez
+ PDF Chat	Critical one-arm probability for the metric Gaussian free field in low dimensions	2024	Alexander Drewitz Alexis Prévost Pierre‐François Rodriguez
+	Chemical subdiffusivity of critical 2D percolation	2020	Shirshendu Ganguly James R. Lee
+	From loop clusters and random interlacements to the free field	2016	Titus Lupu
+	Chemical subdiffusivity of critical 2D percolation	2020	Shirshendu Ganguly James R. Lee
+	On the chemical distance in critical percolation II	2016	Michael Damron Jack Hanson Philippe Sosoe
+ PDF Chat	Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets	2024	Yifan Gao Pierre Nolin Wei Qian

Works That Cite This (20)

Action	Title	Year	Authors
+	Comparison of discrete and continuum Liouville first passage percolation	2019	Morris Ang
+	Comparison of discrete and continuum Liouville first passage percolation	2019	Morris Ang
+	Strict Inequality for the Chemical Distance Exponent in <scp>Two‐Dimensional</scp> Critical Percolation	2020	Michael Damron Jack Hanson Philippe Sosoe
+ PDF Chat	Liouville Quantum Gravity with Matter Central Charge in (1, 25): A Probabilistic Approach	2020	Ewain Gwynne Nina Holden Joshua Pfeffer Guillaume Remy
+	Euclidean and chemical distances in ellipses percolation	2021	Marcelo R. Hilário Daniel Ungaretti
+ PDF Chat	Return Probability and Recurrence for the Random Walk Driven by Two-Dimensional Gaussian Free Field	2019	Marek Biskup Jian Ding Subhajit Goswami
+ PDF Chat	Distances in $$\frac{1}{\Vert x-y\Vert ^{2d}}$$ Percolation Models for all Dimensions	2023	Johannes Bäumler
+ PDF Chat	Upper Bounds on Liouville First‐Passage Percolation and Watabiki's Prediction	2019	Jian Ding Subhajit Goswami
+	On the chemical distance exponent for the two-sided level-set of the 2D Gaussian free field	2020	Yifan Gao Fuxi Zhang
+	Distances in $\frac{1}{\|x-y\|^{2d}}$ percolation models for all dimensions	2022	Johannes Bäumler

Works Cited by This (44)

Action	Title	Year	Authors
+	On the distortion of sets on a Jordan curve under conformal mapping	1973	Lennart Carleson
+ PDF Chat	Entropic Repulsion and the Maximum of the two-dimensional harmonic	2001	Erwin Bolthausen Jean‐Dominique Deuschel Giambattista Giacomin
+ PDF Chat	Random walk loop soup	2006	Gregory F. Lawler José A. Trujillo Ferreras
+	Topics in Occupation Times and Gaussian Free Fields	2012	Alain‐Sol Sznitman
+	Pinning of an interface by a weak potential	1992	Fran�ois Dunlop J. Le Magnen Vincent Rivasseau Philippe Roché
+ PDF Chat	Random Currents and Continuity of Ising Model’s Spontaneous Magnetization	2014	Michael Aizenman Hugo Duminil‐Copin Vladas Sidoravičius
+	On the length of the shortest crossing in the super-critical phase of Mandelbrot's percolation process	1996	L. Chayes
+	On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation	2002	H. J. Brascamp Élliott H. Lieb
+	On the Distortion of Boundary Sets Under Conformal Mappings	1985	Nikolai Makarov
+	Hitting probabilities of random walks on Zd	1987	Harry Kesten