Hamiltonians on random walk trajectories
نویسندگان
چکیده
منابع مشابه
Hamiltonians on random walk trajectories
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 co...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1998
ISSN: 0304-4149
DOI: 10.1016/s0304-4149(98)00052-0