The density of imaginary multiplicative chaos is positive

DOI10.1214/24-ecp630MaRDI QIDQ6654853

Janne Junnila, Antoine Jego, Juhan Aru

Publication date: 20 December 2024

Published in: Electronic Communications in Probability (Search for Journal in Brave)

zbMATH Keywords

Malliavin calculusdensityGaussian multiplicative chaoslog-correlated fields

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Generalized stochastic processes (60G20) Stochastic calculus of variations and the Malliavin calculus (60H07)

Cites Work

• Unnamed Item
• Density minoration of a strongly non-degenerated random variable
• Density of imaginary multiplicative chaos via Malliavin calculus
• The Fyodorov-Bouchaud formula and Liouville conformal field theory
• Complex Gaussian multiplicative chaos
• Positivity and lower bounds for the density of Wiener functionals
• Imaginary multiplicative chaos: moments, regularity and connections to the Ising model
• The Malliavin Calculus and Related Topics
• Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential

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