A central limit theorem for Gibbs measures relative to Brownian motion
نویسندگان
چکیده
منابع مشابه
A central limit theorem for Gibbs measures relative to Brownian motion
We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in the infinite volume limit the Gibbs measure can be viewed as Brownian motion moving in a dynamic random environment. Thereby we are in a position to use the technique of Kipnis and Varadhan and to prove a functional cen...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2004
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-004-0381-8