Juhan Aru
A characterisation of the continuum Gaussian free field in arbitrary dimensions
Aru, Juhan; Powell, Ellen
Abstract
e prove that under certain mild moment and continuity assumptions, the d-dimensional continuum Gaussian free field is the only stochastic process satisfying the usual domain Markov property and a scaling assumption. Our proof is based on a decomposition of the underlying functional space in terms of radial processes and spherical harmonics
Citation
Aru, J., & Powell, E. (2022). A characterisation of the continuum Gaussian free field in arbitrary dimensions. Journal de l’École polytechnique — Mathématiques, 9, 1101-1120. https://doi.org/10.5802/jep.201
| Journal Article Type | Article |
|---|---|
| Acceptance Date | Jun 17, 2022 |
| Online Publication Date | Jun 30, 2022 |
| Publication Date | 2022 |
| Deposit Date | Jul 27, 2022 |
| Publicly Available Date | Jul 27, 2022 |
| Journal | Journal de l’École polytechnique — Mathématiques |
| Print ISSN | 2429-7100 |
| Publisher | École polytechnique |
| Peer Reviewed | Peer Reviewed |
| Volume | 9 |
| Pages | 1101-1120 |
| DOI | https://doi.org/10.5802/jep.201 |
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