3 citations · 3 across the 8 of their papers we have counts for
10 papers
Level lines of the Gaussian free field and degenerate conformal blocks
Alex Karrila, Eveliina Peltola, Lukas Schoug
We consider Gaussian free field (GFF) on simply connected domains with piecewise constant Dirichlet boundary data. We show that the crossing probabilities for its level lines are d…
Scaling properties of a random Yule tree embedded in
Lukas Schoug
We study a random tree, which was introduced by Ajazi et al. as part of a model of a neuronal network. Realising a scaling relation for the law of the tree, we can use elementary t…
A Gaussian free field approach to the natural parametrisation of SLE
Vlad Margarint, Lukas Schoug
We construct the natural parametrisation of SLE using the Gaussian free field, complementing the corresponding results for SLE for by Benoist and for $κ\in (4,…
Conformal removability of non-simple Schramm-Loewner evolutions
Konstantinos Kavvadias, Jason Miller, Lukas Schoug
We consider the Schramm-Loewner evolution (SLE) for , which is the regime that the curve is self-intersecting but not space-filling. We let be the se…
Conformal removability of SLE
Konstantinos Kavvadias, Jason Miller, Lukas Schoug
We consider the Schramm-Loewner evolution (SLE) with , the critical value of at or below which SLE is a simple curve and above which it is self-intersecting. We…
Existence and uniqueness of the conformally covariant volume measure on conformal loop ensembles
Jason Miller, Lukas Schoug
We prove the existence and uniqueness of the canonical conformally covariant volume measure on the carpet/gasket of a conformal loop ensemble (CLE, ) which respec…