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Faculty of Mathematics

 

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

Almost sure multifractal spectrum of Schramm–Loewner evolution
E Gwynne, J Miller, X Sun
– Duke Mathematical Journal
(2018)
167,
1099
Dimension of the SLE light cone, the SLE fan, and SLE$_κ(ρ)$ for $κ\in (0,4)$ and $ρ\in [\tfracκ{2}-4,-2)$
J Miller
– Communications in Mathematical Physics
(2018)
360,
1083
Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for $\kappa > 8$
E Gwynne, A Kassel, J Miller, DB Wilson
– Communications in Mathematical Physics
(2018)
358,
1065
Chordal SLE$_6$ explorations of a quantum disk
E Gwynne, J Miller
– Electronic Journal of Probability
(2018)
23,
ARTN 66
Brownian motion correlation in the peanosphere for $\kappa>8$
E Gwynne, N Holden, JP 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
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
E Gwynne, J Miller, S Sheffield
(2017)
Six-vertex model and Schramm-Loewner evolution
R Kenyon, J Miller, S Sheffield, DB Wilson
– Physical Review E
(2017)
95,
052146
Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology
E Gwynne, JP Miller
– Electronic Journal of Probability
(2017)
22,
84
CLE PERCOLATIONS
JP Miller, S Sheffield, W Werner
– Forum of Mathematics, Pi
(2017)
5,
e4
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Research Groups

Probability
Applied Probability
Mathematical Finance and Operational Research
Statistical Laboratory

Room

D2.02

Telephone

01223 337951