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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 ${{\rm SLE}_\kappa(\rho)}$ 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
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 $κ> 8$
E Gwynne, N Holden, JP Miller, X Sun
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(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
– Phys Rev 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