Liouville quantum gravity weighted by conformal loop ensemble nesting statistics

Random fields (60G60) Random graphs (graph-theoretic aspects) (05C80) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Liouville quantum gravity on the Riemann sphere
Imaginary geometry. I: Interacting SLEs
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact metric measure spaces
The Hausdorff dimension of the CLE gasket
Gaussian multiplicative chaos and applications: a review
Compact Brownian surfaces. I: Brownian disks
Liouville quantum gravity and KPZ
The perimeter cascade in critical Boltzmann quadrangulations decorated by an \(O(n)\) loop model
Tightness of Liouville first passage percolation for \(\gamma \in (0,2)\)
Conformal radii for conformal loop ensembles
The conformal loop ensemble nesting field
Counting surfaces. CRM Aisenstadt chair lectures
Exploration trees and conformal loop ensembles
Infinite conformal symmetry in two-dimensional quantum field theory
Classification of coharmonic and coinvariant functions for a Levy process
The Brownian loop soup
Scaling limits of loop-erased random walks and uniform spanning trees
Liouville quantum gravity on the unit disk
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
Conformal loop ensembles: the Markovian characterization and the loop-soup construction
Natural parametrization of SLE: the Gaussian free field point of view
Liouville quantum gravity surfaces with boundary as matings of trees
Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces
Conformal welding for critical Liouville quantum gravity
Simple conformal loop ensembles on Liouville quantum gravity
Integrability of boundary Liouville conformal field theory
Existence and uniqueness of the Liouville quantum gravity metric for \(\gamma \in (0, 2)\)
Integrability of Liouville theory: proof of the DOZZ formula
Non-simple SLE curves are not determined by their range
Decomposition of Brownian loop-soup clusters
On conformally invariant CLE explorations
An elementary approach to Gaussian multiplicative chaos
Gaussian free fields for mathematicians
Liouville quantum gravity and the Brownian map. III: The conformal structure is determined
Random Measures, Theory and Applications
A recursive approach to theO(n) model on random maps via nested loops
ON BOUNDED-TYPE THIN LOCAL SETS OF THE TWO-DIMENSIONAL GAUSSIAN FREE FIELD
CLE PERCOLATIONS
Tauberian Theory
Liouville quantum gravity as a mating of trees
Unit boundary length quantum disk: a study of two different perspectives and their equivalence
Topological recursion in enumerative geometry and random matrices
Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity
Conformal welding of quantum disks
The trunks of \(\mathrm{CLE}(4)\) explorations
Nesting statistics in the \(O(n)\) loop model on random planar maps
Integrability of SLE via conformal welding of random surfaces

This page was built for publication: Liouville quantum gravity weighted by conformal loop ensemble nesting statistics