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# Department of Pure Mathematics and Mathematical Statistics

Research Interests: Statistical mechanics, Schramm-Loewner evolution, random planar maps, Liouville quantum gravity, random walk in random environment

## Publications

The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to $\sqrt{8/3}$8/3-Liouville Quantum Gravity
E Gwynne, J Miller, S Sheffield
– Communications in Mathematical Physics
(2020)
374,
735
A distance exponent for Liouville quantum gravity
E Gwynne, N Holden, X Sun
– Probability Theory and Related Fields
(2019)
173,
931
Scaling limits for the critical Fortuin–Kasteleyn model on a random planar map I: Cone times
E Gwynne, C Mao, X Sun
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(2019)
55,
1
Almost sure multifractal spectrum of Schramm–Loewner evolution
E Gwynne, J Miller, X Sun
– Duke Mathematical Journal
(2018)
167,
1099
Brownian motion correlation in the peanosphere for $κ> 8$
E Gwynne, N Holden, J Miller, X Sun
– Annales de l'institut Henri Poincare (B) Probability and Statistics
(2017)
53,
1866
Scaling limits for the critical Fortuin-Kasteleyn model on a random planar map II: local estimates and empty reduced word exponent
E Gwynne, X Sun
– Electronic Journal of Probability
(2017)
22,
1
Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology
E Gwynne, J Miller
– Electronic Journal of Probability
(2017)
22,
84
Connectivity properties of the adjacency graph of SLE$_\kappa$ bubbles for $\kappa \in (4,8)$
E Gwynne, J Pfeffer
– Annals of Probability
Convergence of the self-avoiding walk on random quadrangulations to SLE$_{8/3}$ on $\sqrt{8/3}$-Liouville quantum gravity
E Gwynne, J Miller
– Annales Scientifiques de l'Ecole Normale Superieure
Dimension transformation formula for conformal maps into the complement of an SLE curve
E Gwynne, N Holden, J Miller
– Probability Theory and Related Fields
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