Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Author "Berestycki, Nathanael Edouard"
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Critical Exponents on Fortuin-Kasteleyn Weighted Planar Maps
Berestycki, Nathanael Edouard; Laslier, Benoit; Ray, Gourab (SpringerCOMMUNICATIONS IN MATHEMATICAL PHYSICS, 2017-10-01)In this paper we consider random planar maps weighted by the self-dual Fortuin--Kasteleyn model with parameter $q \in (0,4)$. Using a bijection due to Sheffield and a connection to planar Brownian motion in a cone we obtain ...
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RANDOM WALKS ON THE RANDOM GRAPH
Berestycki, Nathanael Edouard; Lubetzky, Eyal; Peres, Yuval; Sly, Allan (ANNALS OF PROBABILITY, 2018-01)
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The Rohde--Schramm theorem, via the Gaussian free field
Berestycki, Nathanael Edouard; Jackson, Henry