Introduction to the Gaussian Free Field and Liouville Quantum Gravity
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Introduction to the Gaussian Free Field and Liouville Quantum Gravity Nathanaël Berestycki [Draft lecture notes: July 19, 2016] 1 Contents 1 Definition and properties of the GFF 6 1.1 Discrete case∗ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Green function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.3 GFF as a stochastic process . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.4 GFF as a…
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