Quenched point-to-point free energy for random walks in random potentials
نویسندگان
چکیده
منابع مشابه
Quenched point-to-point free energy for random walks in random potentials
We consider a random walk in a random potential on a square lattice of arbitrary dimension. The potential is a function of an ergodic environment and steps of the walk. The potential is subject to a moment assumption whose strictness is tied to themixing of the environment, the best case being the i.i.d. environment.We prove that the infinite volume quenched point-to-point free energy exists an...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2013
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-013-0494-z