skip to content

Faculty of Mathematics

 

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

An invariance principle for ergodic scale-free random environments
E Gwynne, J Miller, S Sheffield
– Acta Mathematica
(2022)
228,
303
Convergence of percolation on uniform quadrangulations with boundary to SLE$ _{6}$ on $ \sqrt{8/3}$-Liouville quantum gravity
E Gwynne, J Miller
– Astérisque
(2022)
1
Characterizations of SLE$_{\kappa}$ for $\kappa \in (4,8)$ on Liouville quantum gravity
E Gwynne, J Miller
– Asterisque
(2022)
429,
129
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
J Miller, S Sheffield
– Annals of Probability
(2021)
49,
2732
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces
J Miller, S Sheffield, W Werner
– Probab Theory Relat Fields
(2021)
181,
669
Conformal covariance of the Liouville quantum gravity metric
E Gwynne, J Miller
– Annales de l Institut Henri Poincaré Probabilités 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
– 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'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
  • 1 of 6
  • >

Research Groups

Probability
Applied Probability
Mathematical Finance and Operational Research
Statistical Laboratory

Room

D2.02

Telephone

01223 337951