Steep points of Gaussian free fields in any dimension

DOI10.1007/s10959-020-01028-7zbMath1484.60057arXiv1802.03034OpenAlexW3046890843MaRDI QIDQ2664529

Linan Chen

Publication date: 17 November 2021

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03034

zbMATH Keywords

exceptional setHausdorff dimensionGaussian free fieldthick pointregularization processessteep point

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15)

Cites Work

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• Gaussian multiplicative chaos and KPZ duality
• Extreme values for two-dimensional discrete Gaussian free field
• Gaussian multiplicative chaos and applications: a review
• Liouville quantum gravity and KPZ
• Convergence of the centered maximum of log-correlated Gaussian fields
• Maximum of a log-correlated Gaussian field
• Thick points of the Gaussian free field
• Multidimensional multifractal random measures
• Thick points of high-dimensional Gaussian free fields
• Thick points for a Gaussian free field in 4 dimensions
• Renormalization of critical Gaussian multiplicative chaos and KPZ relation
• Gaussian free fields and KPZ relation in \(\mathbb{R}^4\)
• Sample functions of the Gaussian process
• Majorizing measures: The generic chaining
• Gaussian free fields for mathematicians
• Additive Functions and Gaussian Measures
• A geometric treatment of log-correlated Gaussian free fields
• KPZ formula for log-infinitely divisible multifractal random measures
• Random Fields and Geometry
• Probability Theory

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