An SLE martingale from Rohde and Schramm
This will be a survey focusing on a particular martingale for reverse SLE that first arose in the seminal paper of Steffen Rohde and Oded Schramm on the existence of the SLE curve. I will show how it and some closely related variants have been used in the last twenty-five years to understand topics such as H¨older continuity, multifractal spectrum, Minkowski content, and quantum length. The last application uses the viewpoint of the martingale as the exponential of a Gaussian field.
Event Timeslots (1)
Tuesday
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