Probability Seminars——A characterisation of the Gaussian free field
主 题: Probability Seminars——A characterisation of the Gaussian free field
报告人: Professor Ellen Powell (ETH Zürich, Switzerland)
时 间: 2018-05-21 15:00-16:00
地 点: Room 1418, Sciences Building No. 1
Abstract: Over the last decades, the planar Gaussian free field has been conjectured, and in some cases proved, to arise as a universal scaling limit from a broad range of statistical physics models. I will discuss a recent work with Nathanael Berestycki and Gourab Ray, showing that any random distribution satisfying conformal invariance and a certain domain Markov property must be a multiple of the Gaussian free field. This result holds subject only to a fourth moment assumption on the field.