Localization in log-gamma polymers with boundaries
نویسندگان
چکیده
منابع مشابه
Localization in log-gamma polymers with boundaries
Consider the directed polymer in one space dimension in log-gamma environment with boundary conditions, introduced by Seppäläinen [35]. In the equilibrium case, we prove that the end point of the polymer converges in law as the length increases, to a density proportional to the exponent of a zero-mean random walk. This holds without space normalization, and the mass concentrates in a neighborho...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2015
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-015-0662-4