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most citedA central limit theorem for Gibbs measures relative to Brownian motion

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math.PR2003★ 1 cited

A central limit theorem for Gibbs measures relative to Brownian motion

Volker Betz, Herbert Spohn

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 th…

math.PR2001

Existence of Gibbs measures relative to Brownian motion

Volker Betz

We prove existence of infinite volume Gibbs measures relative to Brownian motion. We require the pair potential W to fulfill a uniform integrability condition, but otherwise our re…