Pacific Northwest Probability Seminar: A Characterization Theorem for the Gaussian Free Field

Update: 2017-11-20

Description

We prove that any random distribution satisfying conformal invariance and a form of domain Markov property and having a finite moment condition must be the Gaussian free field. We also present some open problems regarding what happens beyond the Gaussian free field. Ongoing joint work with Nathanael Berestycki and Ellen Powell.

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Pacific Northwest Probability Seminar: A Characterization Theorem for the Gaussian Free Field

#box-pro-ellipsis-176031019465658{-webkit-line-clamp:2;}Pacific Northwest Probability Seminar: A Characterization Theorem for the Gaussian Free Field

Pacific Northwest Probability Seminar: A Characterization Theorem for the Gaussian Free Field

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Pacific Northwest Probability Seminar: A Characterization Theorem for the Gaussian Free Field