One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments

Mathematics – Probability

Scientific paper

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Scientific paper

10.1007/s10955-007-9397-7

The processes described in the title always have reversible stationary
distributions. In this paper, we give sufficient conditions for the existence
of, and for the nonexistence of, nonreversible stationary distributions. In the
case of an i.i.d. environment, these combine to give a necessary and sufficient
condition for the existence of nonreversible stationary distributions.

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