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A central limit theorem for Gibbs measures relative to Brownian motion

โœ Scribed by Volker Betz; Herbert Spohn


Publisher
Springer
Year
2004
Tongue
English
Weight
230 KB
Volume
131
Category
Article
ISSN
1432-2064

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โœฆ Synopsis


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 central limit theorem.


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