Superdiffusivity for a Brownian polymer in a continuous Gaussian environment

• 成果类型: Article
• 署名作者: Bezerra, Sergio; Tindel, Samy; Viens, Frederi
• 署名单位: Universite de Lorraine; Purdue University System; Purdue University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/07-AOP363
• 发表日期: 2008
• 页码: 1642-1675
• 关键词: directed polymers; diffusion; exponent; SPACE

摘要

This paper provides information about the asymptotic behavior of a one-dimensional Brownian polymer ill random medium represented by a Gaussian field W on R+ x R which is white noise in time and function-valued space. According to the behavior of the spatial covariance of W, we give a lower bound on the power growth (wandering exponent) of the polymer when the time parameter goes to infinity: the polymer is proved to be superdiffusive, with a wandering exponent exceeding any alpha < 3/5.