1 citations · 1 across the 2 of their papers we have counts for
4 papers
Gibbs measures on Brownian paths: Theory and applications
Volker Betz, Jozsef Lorinczi, Herbert Spohn
We review our investigations on Gibbs measures relative to Brownian motion, in particular the existence of such measures and their path properties, uniqueness, resp. non-uniqueness…
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…
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…
Ground state properties of the Nelson Hamiltonian - A Gibbs measure-based approach
Volker Betz, Fumio Hiroshima, Jozsef Lorinczi +2
We study properties of the ground state of the Nelson model through functional integration. We obtain bounds on the average and the variance of the Bose field both in position and…