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Department of Pure Mathematics and Mathematical Statistics

Reader in Probability

Research Interests: Schramm-Loewner evolution, Gaussian free field, Liouville quantum gravity, random planar maps, random walks, mixing times for Markov chains.

Publications

The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
E Gwynne, J Miller, S Sheffield
– The Annals of Probability
(2021)
49,
1677
Conformal covariance of the Liouville quantum gravity metric
E Gwynne, J Miller
– L'Institut Henri Poincare, Annales B: Probabilites et Statistiques
(2021)
57,
1016
Local metrics of the Gaussian free field
E Gwynne, J Miller
– Annales de l'Institut Fourier
(2021)
70,
2049
Random walk on random planar maps: spectral dimension, resistance, and displacement
E Gwynne, J Miller
– Annals of Probability
(2021)
49,
1097
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
(2021)
54,
305
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
J Miller, S Sheffield
– Probability Theory and Related Fields
(2021)
179,
1183
An axiomatic characterization of the Brownian map
J Miller, S Sheffield
– Journal de l’École polytechnique — Mathématiques
(2021)
8,
609
Liouville quantum gravity as a mating of trees
B Duplantier, J Miller, S Sheffield
– Asterisque
(2021)
V
Existence and uniqueness of the Liouville quantum gravity metric for $\gamma \in (0,2)$
E Gwynne, J Miller
– Inventiones mathematicae
(2020)
223,
213
Confluence of geodesics in Liouville quantum gravity for $\gamma \in (0,2)$
E Gwynne, J Miller
– Annals of Probability
(2020)
48,
1861
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Research Groups

Probability
Statistical Laboratory

Room

D2.02

Telephone

01223 337951