Hamiltonians on random walk trajectories
نویسنده
چکیده
We consider Gibbs measures on the set of paths of nearest-neighbors random walks on Z+. The basic measure is the uniform measure on the set of paths of the simple random walk on Z+ and the Hamiltonian awards each visit to site x∈Z+ by an amount x ∈R, x∈Z+. We give conditions on ( x) that guarantee the existence of the (in nite volume) Gibbs measure. When comparing the measures in Z+ with the corresponding measures in Z, the so-called entropic repulsion appears as a counting e ect. c © 1998 Elsevier Science B.V. All rights reserved. AMS classi cation: 82B; 82C; 60K35
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تاریخ انتشار 1998