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Department of Pure Mathematics and Mathematical Statistics

Professor of Probability

Research Interests: Probability theory. More specifically, Gaussian free field, SLE, dimer model, Liouville quantum gravity, random graphs, random walks and mixing times, branching and coalescing systems, and relation to partial differential equations.

Publications

The Rohde–Schramm theorem via the Gaussian free field
N Berestycki, H Jackson
– Israel Journal of Mathematics
(2018)
228,
973
Random Hermitian matrices and Gaussian multiplicative chaos
N Berestycki, C Webb, MD Wong
– Probability Theory and Related Fields
(2018)
172,
103
Critical Exponents on Fortuin-Kasteleyn Weighted Planar Maps
N Berestycki, B Laslier, G Ray
– Communications in Mathematical Physics
(2017)
355,
427
An elementary approach to Gaussian multiplicative chaos
N Berestycki
– Electronic Communications in Probability
(2017)
22,
ARTN 27
Random walks on the random graph
N Berestycki, E Lubetzky, Y Peres, A Sly
– The Annals of Probability
(2018)
46,
456
Equivalence of Liouville measure and Gaussian free field
N Berestycki, S Sheffield, X Sun
Cutoff for conjugacy-invariant random walks on the permutation group
N Berestycki, B Sengul
– Probability Theory and Related Fields
(2019)
173,
1197
KPZ formula derived from Liouville heat kernel
N Berestycki, C Garban, R Rhodes, V Vargas
– Journal of the London Mathematical Society
(2016)
94,
186
Coalescing Brownian flows: A new approach
N Berestycki, C Garban, A Sen
– The Annals of Probability
(2015)
43,
3177
The shape of multidimensional brunet–derrida particle systems
N Berestycki, LZ Zhao
– The Annals of Applied Probability
(2018)
28,
651
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Room

D2.07

Telephone

01223 337962