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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

Liouville quantum gravity spheres as matings of finite-diameter trees
J Miller, S Sheffield
– Annales de l Institut Henri Poincaré Probabilités et Statistiques
(2019)
55,
1712
UNIQUENESS of the WELDING PROBLEM for SLE and LIOUVILLE QUANTUM GRAVITY
O McEnteggart, J Miller, W Qian
– Journal of the Institute of Mathematics of Jussieu
(2019)
20,
757
Metric gluing of Brownian and $\sqrt{8/3}$-Liouville quantum gravity surfaces
EN Gwynne, J Miller
– Annals of Probability
(2019)
47,
2303
Harmonic functions on mated-CRT maps
E Gwynne, J Miller, S Sheffield
– Electronic Journal of Probability
(2019)
54,
58
Bipolar orientations on planar maps and SLE$_{12}$
R Kenyon, J Miller, S Sheffield, DB Wilson
– The Annals of Probability
(2019)
47,
1240
Cut-off for lamplighter chains on tori: dimension interpolation and Phase transition
A Dembo, J Ding, JP Miller, Y Peres
– Probability Theory and Related Fields
(2019)
173,
605
Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk
E Gwynne, J Miller
– Annales de l Institut Henri Poincaré Probabilités et Statistiques
(2019)
55,
551
Connection Probabilities for Conformal Loop Ensembles
JP Miller, W Werner
– Communications in Mathematical Physics
(2018)
362,
415
Almost sure multifractal spectrum of Schramm-Loewner evolution
E Gwynne, J Miller, X Sun
– Duke Mathematical Journal
(2018)
167,
1099
Dimension of the SLE light cone, the SLE fan, and SLE$_κ(ρ)$ for $κ\in (0,4)$ and $ρ\in [\tfracκ{2}-4,-2)$
J Miller
– Communications in Mathematical Physics
(2018)
360,
1083
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Research Groups

Probability
Statistical Laboratory

Room

D2.02

Telephone

01223 337951