A characterisation of the Gaussian free field

• 成果类型: Article
• 署名作者: Berestycki, Nathanael; Powell, Ellen; Ray, Gourab
• 署名单位: University of Vienna; Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Victoria
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-019-00939-9
• 发表日期: 2020
• 页码: 1259-1301
• 关键词: quantum-gravity; bridges; sle

摘要

We prove that a random distribution in two dimensions which is conformally invariant and satisfies a natural domain Markov property is a multiple of the Gaussian free field. This result holds subject only to a fourth moment assumption.