Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential
The present paper was written earlier than the authors' [Commun. Math. Phys. 220, 583-621 (2001; Zbl 0994.82044)] in which a stronger result on the title problem than in the present paper was obtained by a different proof method. Although the cited paper is selfconsistent, the present paper develops the situation in greater detail preparing the main result (Theorem 6.2). Several lemmata and propositions concerning partial problems are proved and nine figures help to understand it. Moreover, in the final section the concept of semialgebraic sets is introduced and three theorems, proved elsewhere, are stated.
scientific article; zbMATH DE number 1786646
scientific article