35 citations · 155 across the 12 of their papers we have counts for
12 papers
Many-to-few for non-local branching Markov process
Simon C. Harris, Emma Horton, Ellen Powell +1
We provide a many-to-few formula in the general setting of non-local branching Markov processes. This formula allows one to compute expectations of k-fold sums over functions of th…
Thick points of the planar GFF are totally disconnected for all
Juhan Aru, Léonie Papon, Ellen Powell
We prove that the set of -thick points of a planar Gaussian free field (GFF) with Dirichlet boundary conditions is a.s. totally disconnected for all . Our proof relies…
Mating of trees for critical Liouville quantum gravity
Juhan Aru, Nina Holden, Ellen Powell +1
In a groundbreaking work, Duplantier, Miller and Sheffield showed that subcritical Liouville quantum gravity (LQG) coupled with Schramm-Loewner evolutions (SLE) can be described by…
Critical Gaussian multiplicative chaos: a review
Ellen Powell
This review-style article presents an overview of recent progress in constructing and studying critical Gaussian multiplicative chaos. A proof that the critical measure in any dime…
-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…
Lecture notes on the Gaussian Free Field
Wendelin Werner, Ellen Powell
The Gaussian Free Field (GFF) in the continuum appears to be the natural generalisation of Brownian motion, when one replaces time by a multidimensional continuous parameter. The g…