ODED SCHRAMM'S CONTRIBUTIONS TO NOISE SENSITIVITY

• 成果类型: Article
• 署名作者: Garban, Christophe
• 署名单位: Ecole Normale Superieure de Lyon (ENS de LYON); Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/10-AOP582
• 发表日期: 2011
• 页码: 1702-1767
• 关键词: 1st passage percolation; conformal-invariance; critical exponents; SCALING LIMITS

摘要

We survey in this paper the main contributions of Oded Schramm related to noise sensitivity. We will describe in particular his various works which focused on the spectral analysis of critical percolation (and more generally of Boolean functions), his work on the shape-fluctuations of first passage percolation and finally his contributions to the model of dynamical percolation.