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Statistical Laboratory

Publications

The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
E Gwynne, J Miller, S Sheffield
– Annals of Probability
(2021)
49,
1677
Conformal covariance of the Liouville quantum gravity metric for γ ∈ (0, 2)
E Gwynne, J Miller
– Annales De L Institut Henri Poincare B Probability and Statistics
(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
– The 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 École Normale Supérieure
(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 Ecole Polytechnique Mathematiques
(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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Frontpage talks

22
Oct
16:30 - 17:30: Title to be confirmed
Peter Whittle Lecture

22
Oct
16:30 - 17:30: Title to be confirmed
Peter Whittle Lecture

23
Oct
14:00 - 15:30: Title to be confirmed
Statistics

Research Group

Statistical Laboratory

Room

D2.02

Telephone

01223 337951