206 citations · 940 across the 55 of their papers we have counts for
49 papers · 1 filter
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces
Jason Miller, Scott Sheffield, Wendelin Werner
We study the structure of the Liouville quantum gravity (LQG) surfaces that are cut out as one explores a conformal loop-ensemble CLE for in that is drawn on an…
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…
On clusters of Brownian loops in d dimensions
Wendelin Werner
We discuss random geometric structures obtained by percolation of Brownian loops, in relation to the Gaussian Free Field, and how their existence and properties depend on the dimen…
Simple Conformal Loop Ensembles on Liouville Quantum Gravity
Jason Miller, Scott Sheffield, Wendelin Werner
We show that when one draws a simple conformal loop ensemble (CLE for ) on an independent -Liouville quantum gravity (LQG) surface and explores the CLE in…
The law of a point process of Brownian excursions in a domain is determined by the law of its trace
Wei Qian, Wendelin Werner
We show the result that is stated in the title of the paper, which has consequences about decomposition of Brownian loop-soup clusters in two dimensions.
Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines
Wei Qian, Wendelin Werner
We point out a new simple way to couple the Gaussian Free Field (GFF) with free boundary conditions in a two-dimensional domain with the GFF with zero boundary conditions in the sa…