skip to content

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

Convergence of the self-avoiding walk on random quadrangulations to SLE$_{8/3}$ on $\sqrt{8/3}$-Liouville quantum gravity
E Gwynne, J Miller
(2019)
Liouville quantum gravity spheres as matings of finite-diameter trees
JP Miller, S Sheffield
– Annales de l'institut Henri Poincare (B) Probability and Statistics
(2019)
55,
1712
Liouville quantum gravity spheres as matings of finite-diameter trees
J Miller, S Sheffield
– Annales De L Institut Henri Poincare B Probability and Statistics
(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
– The Annals of Probability
(2019)
47,
2303
Harmonic functions on mated-CRT maps
E Gwynne, J Miller, S Sheffield
– Electronic Journal of Probability
(2019)
24,
1
Bipolar orientations on planar maps and $\mathrm{SLE}_{12}$
R Kenyon, J Miller, S Sheffield, DB Wilson
– 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
  • <
  • 4 of 7
  • >

Research Groups

Probability
Statistical Laboratory

Room

D2.02

Telephone

01223 337951