Concepedia

Remarks on the Relation between Quantum Dynamics and Fractal Spectra

Jean-Marie Barbaroux, J. M. Combes, R Montcho

Journal of Mathematical Analysis and Applications · 1997 · 55 citations · 15 references

DOI

Concepts

References

15

Generalized harmonic analysis

Norbert Wiener · Acta Mathematica · 1930 · 1.8K citations · Full text

Dimension, entropy and Lyapunov exponents

Lai-Sang Young · Ergodic Theory and Dynamical Systems · 1982 · 645 citations · Full text

, , +15

Singular continuous spectrum under rank one perturbations and localization for random hamiltonians

Barry Simon, Tom Wolff · Communications on Pure and Applied Mathematics · 1986 · 347 citations

, , +13

Spectral properties of one dimensional quasi-crystals

Jean Bellissard, Bruno Iochum, Elisabetta Scoppola et al. · Communications in Mathematical Physics · 1989 · 290 citations

, , +10

Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization

Svetlana Jitomirskaya, Yoram Last, Barry Simon · Journal d Analyse Mathématique · 1996 · 285 citations

, , +13