Baxter permuton and Liouville quantum gravity

DOI10.1007/s00440-023-01193-wzbMath1517.05016arXiv2203.12176MaRDI QIDQ6158598

Jacopo Borga, Xin Sun, Nina Holden, Pu Yu

Publication date: 20 June 2023

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.12176

zbMATH Keywords

Schramm-Loewner evolutionsLiouville quantum gravityBaxter permutationspermutons

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Asymptotic enumeration (05A16) Stochastic (Schramm-)Loewner evolution (SLE) (60J67)

Cites Work

• Unnamed Item
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• Liouville quantum gravity on the Riemann sphere
• Imaginary geometry. I: Interacting SLEs
• Conformal weldings of random surfaces: SLE and the quantum gravity zipper
• A proof of factorization formula for critical percolation
• Compact Brownian surfaces. I: Brownian disks
• Baxter permutations and plane bipolar orientations
• Liouville quantum gravity and KPZ
• Schramm's proof of Watts' formula
• Critical percolation: The expected number of clusters in a rectangle
• A decorated tree approach to random permutations in substitution-closed classes
• The perimeter cascade in critical Boltzmann quadrangulations decorated by an \(O(n)\) loop model
• Conformal radii for conformal loop ensembles
• Boundary proximity of SLE
• The expected area of the filled planar Brownian loop is \(\pi/5\)
• Permutations with short monotone subsequences
• Excursion decompositions for SLE and Watts' crossing formula
• Gaussian multiplicative chaos revisited
• Aztec diamonds and Baxter permutations
• Infinite conformal symmetry in two-dimensional quantum field theory
• Baxter permutations rise again
• The number of Baxter permutations
• Four classes of pattern-avoiding permutations under one roof: Generating trees with two labels
• The Brownian loop soup
• Two- and three-point functions in Liouville theory
• Scaling limits of loop-erased random walks and uniform spanning trees
• Liouville quantum gravity on the unit disk
• The Brownian limit of separable permutations
• Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees
• Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk
• SLE as a mating of trees in Euclidean geometry
• A percolation formula
• Conformal bootstrap in Liouville field theory
• Some remarks on SLE bubbles and Schramm's two-point observable
• Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
• Almost square permutations are typically square
• The permuton limit of strong-Baxter and semi-Baxter permutations is the skew Brownian permuton
• Extremal distance and conformal radius of a \(\mathrm{CLE}_4\) loop
• Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes
• Scaling limits of permutation classes with a finite specification: a dichotomy
• The Fyodorov-Bouchaud formula and Liouville conformal field theory
• An almost sure KPZ relation for SLE and Brownian motion
• Universal limits of substitution-closed permutation classes
• Integrability of Liouville theory: proof of the DOZZ formula
• Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
• Schramm's formula and the Green's function for multiple SLE
• Polyakov's formulation of \(2d\) bosonic string theory
• Basic properties of SLE
• Two perspectives of the 2D unit area quantum sphere and their equivalence
• Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\)
• Bijections for Baxter families and related objects
• Gaussian free fields for mathematicians
• Square permutations are typically rectangular
• The runsort permuton
• Volume formulas for a spherical tetrahedron
• Selected Works of Oded Schramm
• SLE and the free field: Partition functions and couplings
• Thermodynamic limit for the Mallows model on Sn
• Hitting Lines with Two-Dimensional Brownian Motion
• Semi-Baxter and Strong-Baxter: Two Relatives of the Baxter Sequence
• The Green function for the radial Schramm–Loewner evolution
• KPZ formula for log-infinitely divisible multifractal random measures
• On the Brownian separable permuton
• Liouville quantum gravity as a mating of trees
• Unit boundary length quantum disk: a study of two different perspectives and their equivalence
• The Archimedean limit of random sorting networks
• Volumes of Polytopes in Spaces of Constant Curvature
• On Fixed Points of the Composite of Commuting Functions
• Towards conformal invariance of 2D lattice models
• The Expected Shape of Random Doubly Alternating Baxter Permutations

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