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- W2891888707 abstract "Motivated by the study of trace for Schramm-Loewner evolutions, we consider evolutions of planar domains governed by ordinary differential equations with holomorphic vector fields $F$ defined on the upper half plane $mathbb{H}$. We show a smoothing effect of the presence of noise on the boundary behaviour of associated conformal maps. More precisely, if $F$ is Holder, we show that evolving domains vary continuously in uniform topology and their boundaries are continuously differentiable Jordan arcs. This is in contrast with examples from deterministic setting where the corner points on the boundary of domain $F(mathbb{H})$ may give rise to corner points on the boundaries of corresponding evolving domains." @default.
- W2891888707 created "2018-09-27" @default.
- W2891888707 creator A5016956272 @default.
- W2891888707 date "2018-09-24" @default.
- W2891888707 modified "2023-09-27" @default.
- W2891888707 title "Smoothing of Boundary Behaviour in Stochastic Planar Evolutions" @default.
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