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math-ph2004
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…
math-ph2001
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…