Lipshitz continuity of gap boundaries for Hofstadter-like spectra

Author:

Bellissard J.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference25 articles.

1. Avron, J.E., Simon, B.: Stability of gaps for periodic potentials under variation of a magnetic field. J. Phys. A.: Math. Gen.18, 2199–2205 (1985)

2. Avron, J., van Mouche, P.H.M., Simon, B.: On the measure of the spectrum for the almos Mathieu operator. Commun. Math. Phys.132, 103–118, (1990). Erratum in Commun. Math. Phys.139, 215 (1991)

3. Barelli, A.: Approche algébrique de la limite semi-classique: electrons bidimensionnels en champ magnétique et localisation dynamique. Thèse. Univ. Paul Sabatier, Toulouse, Sept. 1992

4. Barelli, A., Bellissard, J. Fleckinger, R.: 2D Bloch electrons in a uniform magnetic field. In preparation 1993

5. Bellissard, J.:C *-algebras in solid state Physics. In: “Operator algebras and applications”, Vol. II. Evans, D.E., Takesaki, (eds.) Cambridge: University Press, 1988

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