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

Quantum Loewner evolution
J Miller, S Sheffield
– Duke Mathematical Journal
(2016)
165,
3241
Imaginary geometry III: reversibility of \SLE_\kappa for \kappa \in (4,8)
J Miller, S Sheffield
– Annals of Mathematics
(2016)
184,
455
Convergence of the self-avoiding walk on random quadrangulations to SLE$_{8/3}$ on $\sqrt{8/3}$-Liouville quantum gravity
E Gwynne, J Miller
(2016)
Imaginary geometry II: Reversibility of $\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})$ for $\kappa\in(0,4)$
J Miller, S Sheffield
– The Annals of Probability
(2016)
44,
1647
Uniformity of the late points of random walk on ${\mathbb {Z}}_{n}^{d}$ Z n d for $d \ge 3$ d ≥ 3
J Miller, P Sousi
– Probability Theory and Related Fields
(2016)
167,
1001
Imaginary geometry I: interacting SLEs
J Miller, S Sheffield
– Probability Theory and Related Fields
(2016)
164,
553
Extreme nesting in the conformal loop ensemble
J Miller, SS Watson, DB Wilson
– The Annals of Probability
(2016)
44,
1013
Intersections of SLE Paths: the double and cut point dimension of SLE
J Miller, H Wu
– Probability Theory and Related Fields
(2016)
167,
45
The conformal loop ensemble nesting field
J Miller, SS Watson, DB Wilson
– Probability Theory and Related Fields
(2015)
163,
769
Uniform mixing time for random walk on lamplighter graphs
J Komjathya, J Miller, Y Peres
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(2014)
50,
1140
  • <
  • 5 of 6
  • >

Room

D2.02

Telephone

01223 337951