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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

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
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
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
(2017)
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 Komjáthy, J Miller, Y Peres
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(2014)
50,
1140
The Hausdorff dimension of the CLE gasket
J Miller, N Sun, DB Wilson
– The Annals of Probability
(2014)
42,
1644
Painting a graph with competing random walks
J Miller
– The Annals of Probability
(2013)
41,
636
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Room

D2.02

Telephone

01223 337951