A KPZ formula for SLE and Brownian motion

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• Nina Holden (MIT)
• Tuesday 02 June 2015, 15:00-16:00
• MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.

If you have a question about this talk, please contact John Shimmon.

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.

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