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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

The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to $\sqrt{8/3}$8/3-Liouville Quantum Gravity
E Gwynne, J Miller, S Sheffield
– Communications in Mathematical Physics
(2020)
374,
735
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)
1
The geodesics in Liouville quantum gravity are not Schramm–Loewner evolutions
J Miller, W Qian
– Probability Theory and Related Fields
(2019)
1
Connection probabilities for conformal loop ensembles
J Miller, W Werner
– Communications in Mathematical Physics
(2018)
362,
415
Dimension of the SLE Light Cone, the SLE Fan, and ${{\rm SLE}_\kappa(\rho)}$ SLE κ ( ρ ) for ${\kappa \in (0,4)}$ κ ∈ ( 0 , 4 ) and ${\rho \in}$ ρ ∈ ${\big[{\tfrac{\kappa}{2}}-4,-2\big)}$ [ κ 2 - 4 , - 2 )
J Miller
– Communications in Mathematical Physics
(2018)
360,
1083
Brownian motion correlation in the peanosphere for $κ> 8$
E Gwynne, N Holden, J Miller, X Sun
– Annales de l'institut Henri Poincare (B) Probability and Statistics
(2017)
53,
1866
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
J Miller, S Sheffield
– Probability Theory and Related Fields
(2017)
169,
729
Six-vertex model and Schramm-Loewner evolution
R Kenyon, J Miller, S Sheffield, DB Wilson
– Physical Review E
(2017)
95,
052146
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
(2017)
167,
1001
CLE PERCOLATIONS
J MILLER, S SHEFFIELD, W WERNER
– Forum of Mathematics, Pi
(2017)
5,
e4
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Room

D2.02

Telephone

01223 337951