Lecture notes on the Gaussian free field /
"The Gaussian Free Field (GFF) in the continuum appears to be the natural generalisation of Brownian motion, when one replaces time by a multidimensional continuous parameter. While Brownian motion can be viewed as the most natural random real-valued function defined on R+ with B(0)=0, the GFF...
| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Paris :
Société mathématique de France,
[2021]
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| Series: | Collection SMF Cours spécialisés ;
no 28. Collection SMF Cours spécialisés ; no 28. Collection SMF Cours spécialisés ; no 28. |
| Subjects: |
Table of Contents:
- Warm-up
- The discrete GFF
- Loop-soups and the discrete GFF
- The continuum GFF
- The Markov property and local sets in the continuum
- Topography of the continuum Gaussian Free Field
- Quick review of further related results