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Existence and uniqueness of the Liouville quantum gravity metric for γ∈(0,2)

Inventiones mathematicae, 2021, Vol.223 (1), p.213-333

2021

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The Dimension of the Boundary of a Liouville Quantum Gravity Metric Ball

Communications in mathematical physics, 2020-08, Vol.378 (1), p.625-689

Gwynne, Ewain

2020

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The Fractal Dimension of Liouville Quantum Gravity: Universality, Monotonicity, and Bounds

Communications in mathematical physics, 2020-03, Vol.374 (3), p.1877-1934

2020

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Anomalous diffusion of random walk on random planar maps

Probability theory and related fields, 2020-10, Vol.178 (1-2), p.567-611

2020

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Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion

Communications in mathematical physics, 2022-10, Vol.395 (2), p.773-857

2022

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A mating-of-trees approach for graph distances in random planar maps

Probability theory and related fields, 2020-08, Vol.177 (3-4), p.1043-1102

2020

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KPZ formulas for the Liouville quantum gravity metric

Transactions of the American Mathematical Society, 2022-12, Vol.375 (12), p.8297-8324

2022

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A distance exponent for Liouville quantum gravity

Probability theory and related fields, 2019-04, Vol.173 (3-4), p.931-997

2019

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On the Geometry of Uniform Meandric Systems

Communications in mathematical physics, 2023-11, Vol.404 (1), p.439-494

2023

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

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

2020

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The Critical Liouville Quantum Gravity Metric Induces the Euclidean Topology

Frontiers of Mathematics, 2024, Vol.19 (1), p.1-46

2024

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Up-to-constants comparison of Liouville first passage percolation and Liouville quantum gravity

Science China. Mathematics, 2023-05, Vol.66 (5), p.1053-1072

2023

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Liouville Quantum Gravity with Matter Central Charge in (1, 25): A Probabilistic Approach

Communications in mathematical physics, 2020-06, Vol.376 (2), p.1573-1625

2020

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Geodesics and metric ball boundaries in Liouville quantum gravity

Probability theory and related fields, 2022-04, Vol.182 (3-4), p.905-954

2022

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The Minkowski content measure for the Liouville quantum gravity metric

The Annals of probability, 2024-03, Vol.52 (2)

2024

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Weak LQG metrics and Liouville first passage percolation

Probability theory and related fields, 2020-10, Vol.178 (1-2), p.369-436

2020

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Active Spanning Trees with Bending Energy on Planar Maps and SLE-Decorated Liouville Quantum Gravity for κ>8

Communications in mathematical physics, 2018, Vol.358 (3), p.1065-1115

2018

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The distance exponent for Liouville first passage percolation is positive

Probability theory and related fields, 2021-12, Vol.181 (4), p.1035-1051

2021

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Dimension transformation formula for conformal maps into the complement of an SLE curve

Probability theory and related fields, 2020-02, Vol.176 (1-2), p.649-667

2020

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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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Random Surfaces and Liouville Quantum Gravity

Notices of the American Mathematical Society, 2020-04, Vol.67 (4), p.1

Gwynne, Ewain

2020

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CONFLUENCE OF GEODESICS IN LIOUVILLE QUANTUM GRAVITY FOR γ ∈ (0, 2)

The Annals of probability, 2020-07, Vol.48 (4), p.1861-1901

2020

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Geodesic networks in Liouville quantum gravity surfaces

Probability and mathematical physics (Berkeley, Calif. : Online), 2021-10, Vol.2 (3), p.643-684

Gwynne, Ewain

2021

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Random walk on random planar maps: Spectral dimension, resistance and displacement

The Annals of probability, 2021-05, Vol.49 (3)

2021

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Uniqueness of the critical and supercritical Liouville quantum gravity metrics

Proceedings of the London Mathematical Society, 2023-01, Vol.126 (1), p.216-333

2023

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Existence and uniqueness of the Liouville quantum gravity metric for γ∈(0,2)

The Dimension of the Boundary of a Liouville Quantum Gravity Metric Ball

The Fractal Dimension of Liouville Quantum Gravity: Universality, Monotonicity, and Bounds

Anomalous diffusion of random walk on random planar maps

Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion

A mating-of-trees approach for graph distances in random planar maps

KPZ formulas for the Liouville quantum gravity metric

A distance exponent for Liouville quantum gravity

On the Geometry of Uniform Meandric Systems

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

The Critical Liouville Quantum Gravity Metric Induces the Euclidean Topology

Up-to-constants comparison of Liouville first passage percolation and Liouville quantum gravity

Liouville Quantum Gravity with Matter Central Charge in (1, 25): A Probabilistic Approach

Geodesics and metric ball boundaries in Liouville quantum gravity

The Minkowski content measure for the Liouville quantum gravity metric

Weak LQG metrics and Liouville first passage percolation

Active Spanning Trees with Bending Energy on Planar Maps and SLE-Decorated Liouville Quantum Gravity for κ>8

The distance exponent for Liouville first passage percolation is positive

Dimension transformation formula for conformal maps into the complement of an SLE curve

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

Random Surfaces and Liouville Quantum Gravity

CONFLUENCE OF GEODESICS IN LIOUVILLE QUANTUM GRAVITY FOR γ ∈ (0, 2)

Geodesic networks in Liouville quantum gravity surfaces

Random walk on random planar maps: Spectral dimension, resistance and displacement

Uniqueness of the critical and supercritical Liouville quantum gravity metrics

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