2 papers
math.PR2025
Liouville Brownian motion and quantum cones in dimension
Federico Bertacco, Ewain Gwynne
For and , we study the Liouville Brownian motion associated with the whole-space log-correlated Gaussian field in . We compute its spectr…
math.PR2023
Scaling limits of planar maps under the Smith embedding
Federico Bertacco, Ewain Gwynne, Scott Sheffield
The Smith embedding of a finite planar map with two marked vertices, possibly with conductances on the edges, is a way of representing the map as a tiling of a finite cylinder by r…