107 citations · 586 across the 55 of their papers we have counts for
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math.PR2018★ 5 cited
The random walk penalised by its range in dimensions
Nathanael Berestycki, Raphael Cerf
We study a self-attractive random walk such that each trajectory of length is penalised by a factor proportional to , where is the set of sites visited b…
math.PR2018★ 8 cited
A characterisation of the Gaussian free field
Nathanael Berestycki, Ellen Powell, Gourab Ray
We prove that a random distribution in two dimensions which is conformally invariant and satisfies a natural domain Markov property is a multiple of the Gaussian free field. This r…