Lukas Schoug

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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…

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

Conformal removability of non-simple Schramm-Loewner evolutions

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