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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

Painting a graph with competing random walks
J Miller
– The Annals of Probability
(2013)
41,
636
Uniformity of the uncovered set of random walk and cutoff for lamplighter chains
J Miller, Y Peres
– The Annals of Probability
(2012)
40,
535
Fluctuations for the Ginzburg-Landau \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\nabla \phi}$\end{document} Interface Model on a Bounded Domain
J Miller
– Communications in Mathematical Physics
(2011)
308,
591
Thick points of the Gaussian free field
X Hu, J Miller, Y Peres
– The Annals of Probability
(2010)
38,
896
Local metrics of the Gaussian free field
E Gwynne, J Miller
– Annales de l'Institut Fourier
Almost sure multifractal spectrum of SLE
E Gwynne, JP Miller, X Sun
– Duke Mathematical Journal
Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for $\kappa > 8$
E Gwynne, A Kassel, JP Miller, D Wilson
– Communications in Mathematical Physics
Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk
E Gwynne, JP Miller
– Annales de l'institut Henri Poincare (B) Probability and Statistics
Liouville quantum gravity as a metric space and a scaling limit
JP Miller
– Proceedings of the International Congress of Mathematicians
Chordal SLE$_6$ explorations of a quantum disk
E Gwynne, JP Miller
– Electronic Journal of Probability
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D2.02

01223 337951