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Tuesday 30 May 2023, 14:00-15:00
On Lévy-driven Loewner Evolutions
- 👤 Speaker: Anne Schreuder (Statslab)
- 📅 Date & Time: Tuesday 30 May 2023, 14:00 - 15:00
- 📍 Venue: MR14
Abstract
This talk is about the behaviour of Loewner evolutions driven by a Lévy process. Schramm’s celebrated version (Schramm-Loewner evolution), driven by standard Brownian motion, has been a great success for describing critical interfaces in statistical physics. Loewner evolutions with other random drivers have been proposed, for instance, as candidates for finding extremal multifractal spectra, and some tree-like growth processes in statistical physics. Questions on how the Loewner trace behaves, e.g., whether it is generated by a (discontinuous) curve, whether it is locally connected, tree-like, or forest-like, have been partially answered in the symmetric alpha-stable case. We consider the case of general Levy drivers. Joint work with Eveliina Peltola (Bonn and Helsinki).
Series This talk is part of the Probability series.
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