Lukas Schoug

collaborators

3 papers

math-ph2026

Level lines of the Gaussian free field and $c = 1$ 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…

math.PR2026

Regularity of the SLE $_{4}$ uniformizing map and the SLE $_{8}$ trace

Konstantinos Kavvadias, Jason Miller, Lukas Schoug

We show that the modulus of continuity of the SLE $_{4}$ uniformizing map is given by $(lo g I^´^{- 1})^{- 1/3 + o (1)}$ as $I^´ \to 0$ . As a consequence of our analysis, we show that the Jon…

math.PR2026

Conformal removability of non-simple Schramm-Loewner evolutions

Konstantinos Kavvadias, Jason Miller, Lukas Schoug

We consider the Schramm-Loewner evolution (SLE $_{I^} º$ ) for $I^º \in (4, 8)$ , which is the regime that the curve is self-intersecting but not space-filling. We let $K$ be the…

Level lines of the Gaussian free field and c=1 degenerate conformal blocks

Regularity of the SLE4​ uniformizing map and the SLE8​ trace

Conformal removability of non-simple Schramm-Loewner evolutions

Level lines of the Gaussian free field and $c = 1$ degenerate conformal blocks

Regularity of the SLE $_{4}$ uniformizing map and the SLE $_{8}$ trace