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math.PR2017
The Rohde--Schramm theorem, via the Gaussian free field
Nathanael Berestycki, Henry Jackson
The Rohde--Schramm theorem states that Schramm--Loewner Evolution with parameter (or SLE for short) exists as a random curve, almost surely, if . Here we give a ne…
math.PR2017
Random Hermitian Matrices and Gaussian Multiplicative Chaos
Nathanaël Berestycki, Christian Webb, Mo Dick Wong
We prove that when suitably normalized, small enough powers of the absolute value of the characteristic polynomial of random Hermitian matrices, drawn from one-cut regular unitary…