Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\) (Q2421815): Difference between revisions

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@@ Property / Recommended article @@
+Generating functions of bipartite maps on orientable surfaces (extended abstract)
+Normal rank
+Similarity Score: 0.8459507Amount 0.8459507
Unit 1
-Amount
+.8459507
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Generating functions of bipartite maps on orientable surfaces
+Normal rank
+Similarity Score: 0.83911973Amount 0.83911973
Unit 1
-Amount
+.83911973
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Eulerian orientations and the six-vertex model on planar maps
+Normal rank
+Similarity Score: 0.83535534Amount 0.83535534
Unit 1
-Amount
+.83535534
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+The scaling limit of uniform random plane maps, via the Ambjørn-Budd bijection
+Normal rank
+Similarity Score: 0.8333344Amount 0.8333344
Unit 1
-Amount
+.8333344
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Scaling limits of random bipartite planar maps with a prescribed degree sequence
+Normal rank
+Similarity Score: 0.83214164Amount 0.83214164
Unit 1
-Amount
+.83214164
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Invariance principles for random bipartite planar maps
+Normal rank
+Similarity Score: 0.83026844Amount 0.83026844
Unit 1
-Amount
+.83026844
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+A glimpse of the conformal structure of random planar maps
+Normal rank
+Similarity Score: 0.8283858Amount 0.8283858
Unit 1
-Amount
+.8283858
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Bijective counting of plane bipolar orientations and Schnyder woods
+Normal rank
+Similarity Score: 0.8271706Amount 0.8271706
Unit 1
-Amount
+.8271706
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Duality of random planar maps via percolation
+Normal rank
+Similarity Score: 0.8226924Amount 0.8226924
Unit 1
-Amount
+.8226924
 Unit
+Recommender Run: Recommender Run 3
@@ Property / Recommended article @@
+Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere
+Normal rank
+Similarity Score: 0.8224329Amount 0.8224329
Unit 1
-Amount
+.8224329
 Unit
+Recommender Run: Recommender Run 3

Latest revision as of 14:20, 6 May 2025

scientific article

Language	Label	Description	Also known as
English	Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\)	scientific article

Statements

scholarly article

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Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\) (English)

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Scott Sheffield

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David B. Wilson

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The Annals of Probability

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publication date

18 June 2019

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full work available at URL

https://arxiv.org/abs/1511.04068

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https://projecteuclid.org/euclid.aop/1556784019

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zbMATH Keywords

bipolar oriention

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random planar map

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Schramm-Loewner evolution

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Liouville quantum gravity

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continuum random tree

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MaRDI profile type

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Fixed-energy harmonic functions

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The continuum random tree. I

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The continuum random tree. III

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Two perspectives of the 2D unit area quantum sphere and their equivalence

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Baxter permutations and plane bipolar orientations

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Counting planar maps, coloured or uncoloured

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SLE for theoretical physicists

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Convergence of Ising interfaces to Schramm's SLE curves

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Planar Maps are Well Labeled Trees

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Liouville quantum gravity on the Riemann sphere

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Bipolar orientations revisited

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Duality of Schramm-Loewner evolutions

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Random Walks and Quantum Gravity in Two Dimensions

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Liouville quantum gravity as a mating of trees

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Liouville quantum gravity and KPZ

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Invariance principles for random walks in cones

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Bijections for Baxter families and related objects

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Bijective counting of plane bipolar orientations and Schnyder woods

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Brownian motion conditioned to stay in a cone

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Brownian motion correlation in the peanosphere for \(\kappa>8\)

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Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for \(\kappa>8\)

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Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map. I: Cone times

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Convergence of the self-avoiding walk on random quadrangulations to SLE$_{8/3}$ on $\sqrt{8/3}$-Liouville quantum gravity

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Metric gluing of Brownian and \(\sqrt{8/3}\)-Liouville quantum gravity surfaces

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Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk

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Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology

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Chordal \(\mathrm{SLE}_6\) explorations of a quantum disk

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The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity

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Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map. II: Local estimates and empty reduced word exponent

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The dimension of the planar Brownian frontier is \(4/3\)

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Values of Brownian intersection exponents. I: Half-plane exponents

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Values of Brownian intersection exponents. II: Plane exponents

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Values of Brownian intersection exponents. III: Two-sided exponents

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Conformal invariance of planar loop-erased random walks and uniform spanning trees.

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Uniqueness and universality of the Brownian map

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The Brownian map is the scaling limit of uniform random plane quadrangulations

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An axiomatic characterization of the Brownian map

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Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric

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Liouville quantum gravity spheres as matings of finite-diameter trees

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Liouville quantum gravity and the Brownian map. III: The conformal structure is determined

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Imaginary geometry. I: Interacting SLEs

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Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\)

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Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\)

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Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding

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Quantum Loewner evolution

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Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees

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On the Enumeration of Tree-Rooted Maps

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Scaling limits of loop-erased random walks and uniform spanning trees

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Contour lines of the two-dimensional discrete Gaussian free field

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A contour line of the continuum Gaussian free field

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Exploration trees and conformal loop ensembles

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Conformal weldings of random surfaces: SLE and the quantum gravity zipper

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Quantum gravity and inventory accumulation

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Conformal loop ensembles: the Markovian characterization and the loop-soup construction

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Excursions in a cone for two-dimensional Brownian motion

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Critical percolation in the plane: Conformal invariance, Cardy's formula, scaling limits

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Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model

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A Census of Planar Maps

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Chromatic Sums for Rooted Planar Triangulations: The Cases λ = 1 and λ = 2

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Duality of chordal SLE

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Generating functions of bipartite maps on orientable surfaces (extended abstract)

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Identifiers

zbMATH Open document ID

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10.1214/18-AOP1282

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2421815

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