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

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 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
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
Metric gluing of Brownian and $\sqrt{8/3}$-Liouville quantum gravity surfaces
EN Gwynne, J Miller
– Annals of Probability
Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for $\kappa > 8$
E Gwynne, A Kassel, JP Miller, D Wilson
– Communications in Mathematical Physics
Harmonic functions on mated-CRT maps
E Gwynne, J Miller, S Sheffield
– Electronic Journal of Probability
The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
E Gwynne, J Ding
– Communications in Mathematical Physics
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