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Statistical Laboratory

Publications

Geodesics in the Brownian Map: Strong Confluence and Geometric Structure
J Miller, W Qian
– Memoirs of the American Mathematical Society
(2025)
315,
Equivalence of metric gluing and conformal welding in γ-Liouville quantum gravity for γ E (0,2)
L Hughes, J Miller
– Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
(2025)
61,
1961
Regularity of the SLE4 uniformizing map and the SLE8 trace
K Kavvadias, J Miller, L Schoug
– Proceedings of the London Mathematical Society
(2025)
131,
e70056
Existence and uniqueness of the conformally covariant volume measure on conformal loop ensembles
J Miller, L Schoug
– Annales De L Institut Henri Poincare B Probability and Statistics
(2024)
60,
2267
An invariance principle for ergodic scale-free random environments
E Gwynne, J Miller, S Sheffield
– Acta Mathematica
(2022)
228,
303
Simple conformal loop ensembles on Liouville quantum gravity
J Miller, S Sheffield, W Werner
– The Annals of Probability
(2022)
50,
905
Convergence of percolation on uniform quadrangulations with boundary to SLE$_{6}$ on $\sqrt{8/3}$-Liouville quantum gravity
E GWYNNE, J MILLER
– Astérisque
(2022)
1
Characterizations of SLE$_{\kappa}$ for $\kappa \in (4,8)$ on Liouville quantum gravity
E Gwynne, J Miller
– Asterisque
(2022)
429,
129
Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding
J Miller, S Sheffield
– The Annals of Probability
(2021)
49,
2732
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces
J Miller, S Sheffield, W Werner
– Probability Theory and Related Fields
(2021)
181,
669
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Frontpage talks

Research Group

Statistical Laboratory

Room

D2.02

Telephone

01223 337951