Liouville quantum gravity surfaces with boundary as matings of trees
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Publication:2041785
DOI10.1214/20-AIHP1068zbMath1472.60017arXiv1903.09120OpenAlexW3137798193MaRDI QIDQ2041785
Publication date: 23 July 2021
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09120
Schramm-Loewner evolutionLiouville quantum gravityquantum diskmating of treespeanospherequantum wedge
Geometric probability and stochastic geometry (60D05) Brownian motion (60J65) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)
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Cites Work
- Unnamed Item
- Imaginary geometry. I: Interacting SLEs
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\)
- Uniqueness and universality of the Brownian map
- The Brownian map is the scaling limit of uniform random plane quadrangulations
- A contour line of the continuum Gaussian free field
- Gaussian multiplicative chaos and applications: a review
- Quantum gravity and inventory accumulation
- Compact Brownian surfaces. I: Brownian disks
- Liouville quantum gravity and KPZ
- Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\)
- A mating-of-trees approach for graph distances in random planar maps
- Connectivity properties of the adjacency graph of \(\text{SLE}_{\kappa}\) bubbles for \(\kappa\in(4,8)\)
- The perimeter cascade in critical Boltzmann quadrangulations decorated by an \(O(n)\) loop model
- Bijective counting of tree-rooted maps and shuffles of parenthesis systems
- Excursions in a cone for two-dimensional Brownian motion
- 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
- Brownian motion correlation in the peanosphere for \(\kappa>8\)
- Random walk on random planar maps: spectral dimension, resistance and displacement
- External diffusion-limited aggregation on a spanning-tree-weighted random planar map
- The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
- The Fyodorov-Bouchaud formula and Liouville conformal field theory
- An almost sure KPZ relation for SLE and Brownian motion
- The distribution of Gaussian multiplicative chaos on the unit interval
- Classification of scaling limits of uniform quadrangulations with a boundary
- Integrability of Liouville theory: proof of the DOZZ formula
- Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
- Harmonic functions on mated-CRT maps
- Liouville quantum gravity spheres as matings of finite-diameter trees
- Basic properties of SLE
- Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology
- Two perspectives of the 2D unit area quantum sphere and their equivalence
- Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for \(\kappa>8\)
- Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\)
- 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
- Duality of Schramm-Loewner evolutions
- Hitting Lines with Two-Dimensional Brownian Motion
- Gaussian multiplicative chaos through the lens of the 2D Gaussian free field
- On the Enumeration of Tree-Rooted Maps