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math.PR2020
-moments suffice to characterise the GFF
Nathanaël Berestycki, Ellen Powell, Gourab Ray
We show that there is "no stable free field of index ", in the following sense. It was proved in a previous work by the authors, that subject to a \emph{fourth moment a…
math.PR2020
Random walks on mated-CRT planar maps and Liouville Brownian motion
Nathanael Berestycki, Ewain Gwynne
We prove a scaling limit result for random walk on certain random planar maps with its natural time parametrization. In particular, we show that for , the random walk o…