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CONFORMAL WELDINGS OF RANDOM SURFACES: SLE AND THE QUANTUM GRAVITY ZIPPER

The Annals of probability, 2016-09, Vol.44 (5), p.3474-3545

Sheffield, Scott

2016

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

Probability theory and related fields, 2017-12, Vol.169 (3-4), p.729-869

2017

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Imaginary geometry I: interacting SLEs

Probability theory and related fields, 2016-04, Vol.164 (3-4), p.553-705

2016

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A contour line of the continuum Gaussian free field

Probability theory and related fields, 2013-10, Vol.157 (1-2), p.47-80

2013

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Contour lines of the two-dimensional discrete Gaussian free field

Acta mathematica, 2009-03, Vol.202 (1), p.21-137

2009

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TUG-OF-WAR AND THE INFINITY LAPLACIAN

Journal of the American Mathematical Society, 2009-01, Vol.22 (1), p.167-210

2009

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QUANTUM GRAVITY AND INVENTORY ACCUMULATION

The Annals of probability, 2016-11, Vol.44 (6), p.3804-3848

Sheffield, Scott

2016

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The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to $$\sqrt{8/3}$$-Liouville Quantum Gravity

Communications in mathematical physics, 2020-03, Vol.374 (2), p.735-784

2020

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Liouville quantum gravity and the Brownian map I: the QLE(8/3,0) metric

Inventiones mathematicae, 2020, Vol.219 (1), p.75-152

2020

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CLE PERCOLATIONS

Forum of mathematics. Pi, 2017, Vol.5, Article e4

2017

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Duality and the Knizhnik-Polyakov-Zamolodchikov relation in Liouville quantum gravity

Physical review letters, 2009-04, Vol.102 (15), p.150603-150603, Article 150603

2009

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Logarithmic fluctuations for internal DLA

Journal of the American Mathematical Society, 2012-01, Vol.25 (1), p.271-301

2012

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Gaussian free fields for mathematicians

Probability theory and related fields, 2007-11, Vol.139 (3-4), p.521-541

SHEFFIELD, Scott

2007

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

The Annals of probability, 2021-11, Vol.49 (6), Article 2732

2021

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Liouville quantum gravity and KPZ

Inventiones mathematicae, 2011-08, Vol.185 (2), p.333-393

2011

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Random surfaces

Astérisque, 2005

Sheffield, Scott

2005

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Imaginary geometry III: reversibility of \SLE_\kappa for \kappa \in (4,8)

Annals of mathematics, 2016-09, Vol.184 (2), p.455-486

2016

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Exploration trees and conformal loop ensembles

Duke mathematical journal, 2009-03, Vol.147 (1), p.79-129

Sheffield, Scott

2009

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A NATURAL PARAMETRIZATION FOR THE SCHRAMM—LOEWNER EVOLUTION

The Annals of probability, 2011-09, Vol.39 (5), p.1896-1937

2011

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

Probability theory and related fields, 2021-04, Vol.179 (3-4), p.1183-1211

2021

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IMAGINARY GEOMETRY II: REVERSIBILITY OF SLEκ(ρ1; ρ2) FOR κ ∈ (0, 4)

The Annals of probability, 2016-05, Vol.44 (3), p.1647-1722

2016

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Quantum Loewner evolution

Duke mathematical journal, 2016-11, Vol.165 (17)

2016

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

Annals of mathematics, 2012-11, Vol.176 (3), p.1827-1917

2012

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

The Annals of probability, 2016-05, Vol.44 (3)

2016

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Liouville quantum gravity spheres as matings of finite-diameter trees

Annales de l'I.H.P. Probabilités et statistiques, 2019-08, Vol.55 (3)

2019

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CONFORMAL WELDINGS OF RANDOM SURFACES: SLE AND THE QUANTUM GRAVITY ZIPPER

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

Imaginary geometry I: interacting SLEs

A contour line of the continuum Gaussian free field

Contour lines of the two-dimensional discrete Gaussian free field

TUG-OF-WAR AND THE INFINITY LAPLACIAN

QUANTUM GRAVITY AND INVENTORY ACCUMULATION

The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to $$\sqrt{8/3}$$-Liouville Quantum Gravity

Liouville quantum gravity and the Brownian map I: the QLE(8/3,0) metric

CLE PERCOLATIONS

Duality and the Knizhnik-Polyakov-Zamolodchikov relation in Liouville quantum gravity

Logarithmic fluctuations for internal DLA

Gaussian free fields for mathematicians

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

Liouville quantum gravity and KPZ

Random surfaces

Imaginary geometry III: reversibility of \SLE_\kappa for \kappa \in (4,8)

Exploration trees and conformal loop ensembles

A NATURAL PARAMETRIZATION FOR THE SCHRAMM—LOEWNER EVOLUTION

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

IMAGINARY GEOMETRY II: REVERSIBILITY OF SLEκ(ρ1; ρ2) FOR κ ∈ (0, 4)

Quantum Loewner evolution

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

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

Liouville quantum gravity spheres as matings of finite-diameter trees

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