A note on palindromicity

Letters in Mathematical Physics

Volumn 49, Issue 3, 1999, Pages 217-227

  Baake, Michael ^a  

^a UNIVERSITY OF TÜBINGEN   (Germany)

Author keywords

Quasicrystals; Schr dinger operators; Singular continuous spectra; Symbolic dynamics

Indexed keywords

EID: 0000212740     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007678316583     Document Type: Article

References (19)

1. Allouche, J.-P.: Schrödinger operators with Rudin-Shapiro potentials are not palindromic, J. Math. Phys. 38 (1997), 1843-1848.
2. Allouche, J.-P. and Shallit, J.: Complexité des suites de Rudin-Shapiro généralisées, Bull. Belg. Math. Soc. 1 (1994), 133-143.
3. Baake, M., Grimm, U. and Joseph, D.: Trace maps, invariants, and some of their applications. Internat. J. Modern Phys. B 7 (1993), 1527-1550.
4. Baake, M., Hermisson, J. and Pleasants, P. A. B.: The torus parametrization of quasiperiodic LI-classes, J. Phys. A 30 (1997), 3029-3056.
5. Baake, M., Moody, R. V. and Schlottmann, M.: Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces, J. Phys. A 31 (1998), 5755-5765.
6. Bovier, A. and Ghez, J.-M.: Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions. Comm. Math. Phys. 158 (1993), 45-66, and Comm. Math. Phys. 166 (1994), 431-432 (Erratum).
7. Bovier, A. and Ghez, J.-M.: Spectral properties of one-dimensional Schrödinger operators with potentials generated by substitutions. Comm. Math. Phys. 158 (1993), 45-66, and Comm. Math. Phys. 166 (1994), 431-432 (Erratum).
8. Damanik, D.: Singular continuous spectrum for the period doubling Hamiltonian on a set of full measure, Comm. Math. Phys. 196 (1998), 477-483.
9. Damanik, D.: Singular continuous spectrum for a class of substitution Hamiltonians, Lett. Math. Phys. 46 (1998), 303-311.
10. Damanik, D.: Gordon-type arguments in the spectral theory of one-dimensional quasicrystals, In: M. Baake and R. V. Moody (eds), Directions in Mathematical Quasicrystals, CRM Monogr. Ser., Amer. Math. Soc., Providence (2000), in press.
11. Damanik, D. and Zare, D.: Palindrome complexity bounds for primitive substitution sequences, preprint (1999).
12. Hof, A.: Uniform distribution and the projection method. In: J. Patera (ed.), Quasicrystals and Discrete Geometry, Fields Institute Monogr. 10, Amer. Math. Soc., Providence, 1998. pp. 201-206.
13. Hof, A., Knill, O. and Simon, B.: Singular continuous spectrum for palindromic Schrödinger operators, Comm. Math. Phys. 174 (1995), 149-159.
14. Jitomirskaya, S. and Simon, B.: Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators, Comm. Math. Phys. 165 (1994) 201-205.
15. Moody, R. V.: Meyer sets and their duals, In: R. V. Moody (ed.), The Mathematics of Long-Range Aperiodic Order, NATO ASI Series C 489, Kluwer Acad. Publ., Dordrecht 1997, pp. 403-441.
16. Petersen, K.: Ergodic Theory, 2nd corr. printing, Cambridge Univ. Press, Cambridge, 1989.
17. Queffélec, M.: Substitution Dynamical Systems - Spectral Analysis, Lecture Notes in Math. 1294, Springer, Berlin, 1987.
18. Schlottmann, M.: Cut-and-project sets in locally compact Abelian groups, In: J. Patera (ed.), Quasicrystals and Discrete Geometry, Fields Institute Monogr. 10, Amer. Math. Soc., Providence, 1998, pp. 247-264.
19. Süto, A.: Schrödinger difference equation with deterministic ergodic potentials, In: F. Axel and D. Gratias (eds), Beyond Quasicrystals, Springer, Berlin, 1995, pp. 481-549.