A remark on a central limit theorem for non-symmetric random walks on crystal lattices

Recently, Ishiwata, Kawabi and Kotani [4] proved two kinds of central limit theorems for non-symmetric random walks on crystal lattices from the view point of discrete geometric analysis developed by Kotani and Sunada. In the present paper, we establish yet another kind of the central limit theorem for them. Our argument is based on a measure-change technique due to Alexopoulos [1].

Mathematics Subject Classication. Primary 60J10; Secondary 60F05.