Critical Gaussian multiplicative chaos: a review

Powell, Ellen

Abstract

This review-style article presents an overview of recent progress in constructing and studying critical Gaussian multiplicative chaos. A proof that the critical measure in any dimension can be obtained as a limit of subcritical measures is given.

Citation

Powell, E. (2021). Critical Gaussian multiplicative chaos: a review. Markov processes and related fields, 27(4), 557-606

• Journal Article Type: Article
• Publication Date: 2021
• Deposit Date: Jul 19, 2021
• Publicly Available Date: Jul 20, 2021
• Journal: Markov Processes and Related Fields
• Print ISSN: 1024-2953
• Publisher: Polymat
• Peer Reviewed: Peer Reviewed
• Volume: 27
• Issue: 4
• Pages: 557-606
• Publisher URL: http://math-mprf.org/journal/articles/id1621/
• Related Public URLs: https://drive.google.com/file/d/1rXPKaB6obMC8ayBKkOZ85740TaopCcJR/view?usp=sharing