35 citations · 103 across the 13 of their papers we have counts for
3 papers · 1 filter
Dimension of two-valued sets via imaginary chaos
Lukas Schoug, Avelio Sepúlveda, Fredrik Viklund
Two-valued sets are local sets of the two-dimensional Gaussian free field (GFF) that can be thought of as representing all points of the domain that may be connected to the boundar…
Liouville dynamical percolation
Christophe Garban, Nina Holden, Avelio Sepúlveda +1
We construct and analyze a continuum dynamical percolation process which evolves in a random environment given by a -Liouville measure. The homogeneous counterpart of this proce…
Tree-decorated planar maps
Luis Fredes, Avelio Sepúlveda
We introduce the set of (non-spanning) tree-decorated planar maps, and show that they are in bijection with the Cartesian product between the set of trees and the set of maps with…