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Nina Holden (MIT)
Tuesday 02 June 2015, 15:00-16:00
A KPZ formula for SLE and Brownian motion
- đ¤ Speaker: Nina Holden (MIT)
- đ Date & Time: Tuesday 02 June 2015, 15:00 - 16:00
- đ Venue: MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB
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John Shimmon
Abstract
We prove a KPZ -type formula which relates the a.s. Hausdorff dimension of any set associated with the Schramm-Loewner evolution (SLE) or the conformal loop ensemble (CLE) to the a.s. Hausdorff dimension of a time set for a two-dimensional correlated Brownian motion. As applications of our formula we get new short proofs of the Hausdorff dimension of a number of special sets for SLE . Based on a joint work with Ewain Gwynne and Jason Miller.
Series This talk is part of the Probability series.
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