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The objective of this note is to study the probability that the total mass of a sub-critical Gaussian multiplicative chaos (GMC) with arbitrary base measure $\sigma$ is small.
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C. Garban, G. Pete, O. Schramm. The Fourier spectrum of critical percolation. Acta Mathematica
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B. Duplantier, S. Sheffield. Liouville quantum gravity and KPZ. Inventiones mathematicae
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Equivalence of Liouville measure and Gaussian free field
N. Berestycki, S. Sheffield, X. Sun · 2014
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R. Rhodes, V. Vargas. Gaussian multiplicative chaos and applications: a review. Probability Surveys
2014
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On Gaussian multiplicative chaos
A. Shamov · 2016
Gaussian multiplicative chaos through the lens of the 2D Gaussian free field
J. Aru · 2017
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N. Berestycki. An elementary approach to Gaussian multiplicative chaos. Electronic communications in Probability
2017
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G. Remy. The Fyodorov-Bouchaud formula and Liouville conformal field theory. arXiv preprint
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2017
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Liouville dynamical percolation
C. Garban, N. Holden, A. Sepúlveda, X. Sun · 2018
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