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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

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
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
Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology
E Gwynne, J Miller
– Electronic Journal of Probability
(2017)
22,
84
CLE PERCOLATIONS
J MILLER, S SHEFFIELD, W WERNER
– Forum of Mathematics, Pi
(2017)
5,
e4
Quantum Loewner evolution
J Miller, S Sheffield
– Duke Mathematical Journal
(2016)
165,
3241
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Room

D2.02

Telephone

01223 337951