Probabilities of randomly centered small balls and quantization in Banach spaces

• 成果类型: Article
• 署名作者: Dereich, S; Lifshits, MA
• 署名单位: Technical University of Berlin; Saint Petersburg State University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117905000000161
• 发表日期: 2005
• 页码: 1397-1421
• 关键词: gaussian measures; EXISTENCE

摘要

We investigate the Gaussian small ball probabilities with random centers, find their deterministic a.s.-equivalents and establish a relation to infinite-dimensional high-resolution quantization.