摘要
We consider the voter model with flip rates determined by {ue, e ∈ Ed}, where Ed is the set of all non-oriented nearest-neighbour edges in the Euclidean lattice Zd. Suppose that {ue, e ∈ Ed} are independent and identically distributed （i.i.d.） random variables satisfying ue ≥ 1. We prove that when d = 2, almost surely for all random environments, the voter model has only two extremal invariant measures： δ0 and δ1.
We consider the voter model with flip rates determined by {ue, e ∈ Ed}, where Ed is the set of all non-oriented nearest-neighbour edges in the Euclidean lattice Zd. Suppose that {ue, e ∈ Ed} are independent and identically distributed （i.i.d.） random variables satisfying ue ≥ 1. We prove that when d = 2, almost surely for all random environments, the voter model has only two extremal invariant measures： δ0 and δ1.
