Ewain Gwynne

Most-cited papers

The Fractal Dimension of Liouville Quantum Gravity: Universality, Monotonicity, and Bounds
Jian Ding, Ewain Gwynne
2018Communications in Mathematical Physics87 citations Open access
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Mating of trees for random planar maps and Liouville quantum gravity: a survey
Ewain Gwynne, N. Holden, Xin Sun
201981 citations
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Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0,2)$$ γ ∈ ( 0 ,
Ewain Gwynne, Jason Miller
2019Inventiones Mathematicae75 citations Open access
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The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
Ewain Gwynne, Jason Miller, S. Sheffield
2017Annals of Probability66 citations Open access
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Weak LQG metrics and Liouville first passage percolation
Julien Dub'edat, Hugo Falconet, Ewain Gwynne, Joshua Pfeffer +1 more
2019Probability theory and related fields60 citations Open access
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Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology
Ewain Gwynne, Jason Miller
201651 citations Open access
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KPZ formulas for the Liouville quantum gravity metric
Ewain Gwynne, Joshua Pfeffer
2019Transactions of the American Mathematical Society50 citations Open access
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A mating-of-trees approach for graph distances in random planar maps
Ewain Gwynne, N. Holden, Xin Sun
2017Probability theory and related fields48 citations Open access
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An almost sure KPZ relation for SLE and Brownian motion
Ewain Gwynne, N. Holden, Jason Miller
2015Annals of Probability48 citations Open access
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Confluence of geodesics in Liouville quantum gravity for γ ∈ ( 0 , 2 )
Ewain Gwynne, Jason Miller
201946 citations
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Random walk on random planar maps: Spectral dimension, resistance and displacement
Ewain Gwynne, Jason Miller
201745 citations Open access
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A distance exponent for Liouville quantum gravity
Ewain Gwynne, N. Holden, Xin Sun
201644 citations Open access
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Local metrics of the Gaussian free field
Ewain Gwynne, Jason Miller
2019Annales de l'Institut Fourier43 citations Open access
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Convergence of the self-avoiding walk on random quadrangulations to SLE$_{8/3}$ on $\sqrt{8/3}$-Liouville quantum gravity
Ewain Gwynne, Jason Miller
2016Annales Scientifiques de l'Ecole Normale Supérieure42 citations Open access
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Scaling limits for the critical Fortuin-Kastelyn model on a random planar map III: finite volume case
Ewain Gwynne, Xin Sun
201542 citations
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Conformal covariance of the Liouville quantum gravity metric for γ∈(0,2)
Ewain Gwynne, Jason Miller
2019Annales De L Institut Henri Poincare-probabilites Et Statistiques39 citations Open access
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Active Spanning Trees with Bending Energy on Planar Maps and SLE-Decorated Liouville Quantum Gravity for $${\kappa > 8}$$κ>8
Ewain Gwynne, Adrien Kassel, Jason Miller, D. B. Wilson
201637 citations Open access
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Random Surfaces and Liouville Quantum Gravity
Ewain Gwynne
201936 citations Open access
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Bounds for distances and geodesic dimension in Liouville first passage percolation
Ewain Gwynne, Joshua Pfeffer
2019Electronic Communications in Probability36 citations Open access
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Liouville Quantum Gravity with Matter Central Charge in (1, 25): A Probabilistic Approach
Ewain Gwynne, N. Holden, Joshua Pfeffer, G. Remy
2019Communications in Mathematical Physics35 citations Open access
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Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk
Ewain Gwynne, Jason Miller
2017Annales De L Institut Henri Poincare-probabilites Et Statistiques35 citations Open access
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Scaling limits for the critical Fortuin-Kastelyn model on a random planar map II: local estimates and empty reduced word exponent
Ewain Gwynne, Xin Sun
201534 citations Open access
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Introduction to the Liouville quantum gravity metric
Jian Ding, Julien Dubédat, Ewain Gwynne
202133 citations
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Harmonic functions on mated-CRT maps
Ewain Gwynne, Jason Miller, S. Sheffield
2018Electronic Journal of Probability33 citations Open access
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Scaling limits for the critical Fortuin–Kasteleyn model on a random planar map I: Cone times
Ewain Gwynne, Cheng Mao, Xin Sun
2015Annales De L Institut Henri Poincare-probabilites Et Statistiques31 citations Open access
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The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to $$\sqrt{8/3}$$-Liouville Quantum Gravity
Ewain Gwynne, Jason Miller, S. Sheffield
2018Communications in Mathematical Physics30 citations Open access
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Anomalous diffusion of random walk on random planar maps
Ewain Gwynne, Tom Hutchcroft
2018Probability theory and related fields29 citations Open access
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Brownian motion correlation in the peanosphere for κ > 8
Ewain Gwynne, N. Holden, Jason Miller, Xin Sun
201629 citations
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Tightness of supercritical Liouville first passage percolation
Jian Ding, Ewain Gwynne
2020Journal of the European Mathematical Society (Print)26 citations Open access
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Permutons, meanders, and SLE-decorated Liouville quantum gravity
Jacopo Borga, Ewain Gwynne, Xin Sun
2022Journal of the European Mathematical Society (Print)22 citations Open access
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Uniqueness of the critical and supercritical Liouville quantum gravity metrics
Jian Ding, Ewain Gwynne
2022Proceedings of the London Mathematical Society20 citations Open access
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Liouville quantum gravity surfaces with boundary as matings of trees
M. Ang, Ewain Gwynne
2019Annales De L Institut Henri Poincare-probabilites Et Statistiques20 citations Open access
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Submitted to the Annals of Probability METRIC GLUING OF BROWNIAN AND √ 8 / 3-LIOUVILLE QUANTUM GRAVITY SURFACES
Ewain Gwynne, Jason Miller
201820 citations
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Convergence of percolation on uniform quadrangulations with boundary to SLE$ _{6}$ on $ \sqrt{8/3}$-Liouville quantum gravity
Ewain Gwynne, Jason Miller
2017Astérisque20 citations Open access
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Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense
Ewain Gwynne, N. Holden, Xin Sun
2019Electronic Journal of Probability19 citations Open access
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Joint Scaling Limit of a Bipolar-Oriented Triangulation and Its Dual in the Peanosphere Sense
Ewain Gwynne, N. Holden, Xin Sun
2016Acta Mathematica Sinica. English series17 citations Open access
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Brownian motion correlation in the peanosphere for $\kappa > 8$
Ewain Gwynne, N. Holden, Jason Miller, Xin Sun
201517 citations Open access
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Geodesics and metric ball boundaries in Liouville quantum gravity
Ewain Gwynne, Joshua Pfeffer, S. Sheffield
2020Probability theory and related fields16 citations Open access
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The Dimension of the Boundary of a Liouville Quantum Gravity Metric Ball
Ewain Gwynne
2019Communications in Mathematical Physics15 citations Open access
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Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion
N. Berestycki, Ewain Gwynne
2020Communications in Mathematical Physics14 citations Open access
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Connectivity properties of the adjacency graph of SLE κ bubbles for κ ∈ ( 4 , 8 )
Ewain Gwynne, Joshua Pfeffer
201914 citations
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Geodesic networks in Liouville quantum gravity surfaces
Ewain Gwynne
2020Probability and Mathematical Physics13 citations Open access
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External diffusion-limited aggregation on a spanning-tree-weighted random planar map
Ewain Gwynne, Joshua Pfeffer
201913 citations Open access
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An invariance principle for ergodic scale-free random environments
Ewain Gwynne, Jason Miller, S. Sheffield
2018Acta Mathematica13 citations Open access
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Almost sure multifractal spectrum of Schramm–Loewner evolution
Ewain Gwynne, Jason Miller, Xin Sun
201813 citations Open access
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The distance exponent for Liouville first passage percolation is positive
Jian Ding, Ewain Gwynne, Avelio Sepúlveda
2020Probability theory and related fields12 citations Open access
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Regularity and confluence of geodesics for the supercritical Liouville quantum gravity metric
Jian Ding, Ewain Gwynne
2021Probability and Mathematical Physics11 citations Open access
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Confluence of geodesics in Liouville quantum gravity for $\gamma \in (0,2)$
Ewain Gwynne, Jason Miller
2019Annals of Probability10 citations Open access
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Metric gluing of Brownian and $\sqrt{8/3}$-Liouville quantum gravity surfaces
Ewain Gwynne, Jason Miller
2016Annals of Probability10 citations Open access
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Conformal Invariance of CLEΚ on the Riemann Sphere for Κ ∈(4,8)
Ewain Gwynne, Jason Miller, Wei Qian
2018International mathematics research notices9 citations Open access
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