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arXiv · 1404.1253

General slit Löwner chains

Georgy Ivanov·Alexey Tochin·Alexander Vasil'ev
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Abstract

We use general Löwner theory to define general slit Löwner chains in the unit disk, which in the stochastic case lead to slit holomorphic stochastic flows. Radial, chordal and dipolar SLE are classical examples of such flows. Our approach, however, allows to construct new processes of SLE type that possess conformal invariance and the domain Markov property.The local behavior of these processes is similar to that of the classical SLE.

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Georgy Ivanov, Alexey Tochin, Alexander Vasil'ev. 2014-04-04. General slit Löwner chains. https://arxiv.org/abs/1404.1253

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