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

Confluence of geodesics in Liouville quantum gravity for $\gamma \in (0,2)$
E Gwynne, J Miller
– Annals of Probability
Random surfaces and Liouville quantum gravity
E Gwynne
– Notices of the American Mathematical Society
Conformal invariance of $\CLE_\kappa$ on the Riemann sphere for $\kappa \in (4,8)$
E Gwynne, J Miller, W Qian
– International Mathematics Research Notices
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
Metric gluing of Brownian and $\sqrt{8/3}$-Liouville quantum gravity surfaces
EN Gwynne, J Miller
– Annals of Probability
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
Bounds for distances and geodesic dimension in Liouville first passage percolation
E Gwynne, J Pfeffer
– Electronic Communications in Probability
An almost sure KPZ relation for SLE and Brownian motion
E Gwynne, N Holden, J Miller
– Annals of Probability
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