Anderson localization for Schrödinger operators on Z2 with quasi-periodic potential

[1]  Saugata Basu,et al.  On Bounding the Betti Numbers and Computing the Euler Characteristic of Semi-Algebraic Sets , 1996, STOC '96.

[2]  Yurii Lyubarskii,et al.  Lectures on entire functions , 1996 .

[3]  Y. Yomdin Ck-resolution of semialgebraic mappings. Addendum toVolume growth and entropy , 1987 .

[4]  R. Carmona,et al.  Spectral Theory of Random Schrödinger Operators , 1990 .

[5]  J. Fröhlich,et al.  Localization for a class of one dimensional quasi-periodic Schrödinger operators , 1990 .

[6]  On nonperturbative localization with quasi-periodic potential , 2000, math-ph/0011053.

[7]  J. Bourgain,et al.  Anderson Localization for Schrödinger Operators on ℤ with Strongly Mixing Potentials , 2000 .

[8]  L. Eliasson Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum , 1997 .

[9]  Michael Goldstein,et al.  Holder continuity of the integrated density of states for quasi-periodic Schrodinger equations and averages of shifts of subharmonic functions , 2001 .

[10]  Marie-Françoise Roy,et al.  Real algebraic geometry , 1992 .

[11]  F. Martinelli,et al.  Constructive proof of localization in the Anderson tight binding model , 1985 .

[12]  Alexander Figotin,et al.  Spectra of Random and Almost-Periodic Operators , 1991 .

[13]  Marie-Françoise Roy,et al.  On the combinatorial and algebraic complexity of Quanti erEliminationS , 1994 .

[14]  P. Anderson Absence of Diffusion in Certain Random Lattices , 1958 .

[15]  Wolff,et al.  Some rigorous results for the Anderson model. , 1985, Physical review letters.

[16]  Saugata Basu,et al.  New results on quantifier elimination over real closed fields and applications to constraint databases , 1999, JACM.

[17]  Y. Lévy,et al.  Anderson localization for multi-dimensional systems at large disorder or large energy , 1985 .

[18]  Y. Sinai Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential , 1987 .

[19]  J. Fröhlich,et al.  Absence of diffusion in the Anderson tight binding model for large disorder or low energy , 1983 .

[20]  J. Bourgain,et al.  Anderson Localization for Schrödinger Operators on ℤ with Potentials Given by the Skew–Shift , 2001 .

[21]  M. Aizenman,et al.  Localization at large disorder and at extreme energies: An elementary derivations , 1993 .

[22]  B. Simon Spectrum and continuum eigenfunctions of Schrödinger operators , 1981 .