# 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

An almost sure KPZ relation for SLE and Brownian motion
E Gwynne, N Holden, J Miller
– Annals of Probability
(2020)
48,
527
Conformal invariance of $\CLE_\kappa$ on the Riemann sphere for $\kappa \in (4,8)$
E Gwynne, J Miller, W Qian
– International Mathematics Research Notices
(2020)
Random Surfaces and Liouville Quantum Gravity
E Gwynne
– Notices of the American Mathematical Society
(2020)
67,
1
The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds
J Ding, E Gwynne
– Communications in Mathematical Physics
(2020)
374,
1877
Dimension transformation formula for conformal maps into the complement of an SLE curve
E Gwynne, N Holden, J Miller
– Probability Theory and Related Fields
(2020)
176,
649
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $\sqrt{8/3}$-Liouville quantum gravity
E Gwynne, J Miller, S Sheffield
– Communications in Mathematical Physics
(2020)
374,
735
Metric gluing of Brownian and $\sqrt{8/3}$-Liouville quantum gravity surfaces
E Gwynne, J Miller
– The Annals of Probability
(2019)
47,
2303
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
Harmonic functions on mated-CRT maps
E Gwynne, J Miller, S Sheffield
– Electronic Journal of Probability
(2019)
54,
58
• 1 of 2
• >

D2.04

01223 337949