13 citations · 13 across the 1 of their papers we have counts for
5 papers
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…
Critical Liouville measure as a limit of subcritical measures
Juhan Aru, Ellen Powell, Avelio Sepúlveda
We study how the Gaussian multiplicative chaos (GMC) measures corresponding to the 2D Gaussian free field change when approaches the critical parameter . In particular…
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…