Coincidence Values and Spectra of Substitutions

P. Michel

Publications mathématiques et informatique de Rennes (1976)

  • Issue: 2, page 1-35

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Michel, P.. "Coincidence Values and Spectra of Substitutions." Publications mathématiques et informatique de Rennes (1976): 1-35. <http://eudml.org/doc/273770>.

@article{Michel1976,
author = {Michel, P.},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {2},
pages = {1-35},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Coincidence Values and Spectra of Substitutions},
url = {http://eudml.org/doc/273770},
year = {1976},
}

TY - JOUR
AU - Michel, P.
TI - Coincidence Values and Spectra of Substitutions
JO - Publications mathématiques et informatique de Rennes
PY - 1976
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 2
SP - 1
EP - 35
LA - eng
UR - http://eudml.org/doc/273770
ER -

References

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  1. [1] Coven - KeaneThe structure of substitution minimal sets. Trans, Amer. Math. Soc. vol. 162 (1971), 89 - 102 Zbl0205.28303MR284995
  2. [2] DekkingThe spectrum of dynamical systems arising from substitutions of constant length (1977)Preprint Zbl0348.54034MR461470
  3. [3] Dekking- Keane- MichelSubstitutions. Seminar.Rennes (1977). Unpublished manuscript 
  4. [4] GottshalkSubstitution minimal sets. Trans. Amer. Math. Soc. vol. 109, (1963), 467 - 491 Zbl0121.18002MR190915
  5. [5] Gottshalk- HedlundTopological dynamics. Amer. Math. Soc. Colloq. Publ. vol. 36, (1955) Zbl0067.15204MR74810
  6. [6] Jacobs- Keane 0-1 sequences of Toeplitz typeWahrscheinlichkeitstheorie und Verw. Geb.13 (1969) Zbl0195.52703MR255766
  7. [7] KakutaniErgodic theory of shift transformations. Proceedings of the fifth Berkeley symposium on Mathematical Statistics and Probability. Berkeley and Los Angeles University of California Press Zbl0217.38004
  8. [8] KakutaniStrictly ergodic symbolic dynamical systems. Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability. Berkeley and Los Angeles of California Press (1972) Zbl0262.28014MR404583
  9. [9] KamaeA topological invariant of substitution minimal sets. J. Math. Soc. Japan24 (1972), 285 - 306 Zbl0232.54052MR293611
  10. [10] KeaneGeneralized Morse sequences. Wahrscheinlichkeitstheorie und Verw. Geb.10 (1968), 335 - 353 Zbl0162.07201MR239047
  11. [11] KeaneStrongly mixing g-measures. Inventiones Math.16, Springer Verlag (1972), 309 - 324 Zbl0241.28014MR310193
  12. [12] KeaneSur les mesures quasi ergodiques des translations irrationnelles. CRAS272 (4/1/1971), 54 - 55 Zbl0202.33704MR272982
  13. [13] KeaneIrrational rotations and quasi-ergodic measuresPubl. Sem. Math. Rennes, vol. 1 (1971), 17 - 26 MR369659
  14. [14] KleinHomomorphisms of symbolic dynamical systemsMath. Systems Theory, vol. 6, n° 2 (1972), 107 - 122 Zbl0235.54042MR305383
  15. [15] MartinSubstitution minimal flows. Amer. J. Math.93, (1971), 503 - 526 Zbl0221.54039MR300261
  16. [16] MartinMinimal flows arising from substitutions of non constant lenght. Math. Systems Theory, Vol. 7, n° 1, (1973), 73 - 82 Zbl0256.54026MR324679
  17. [17] MichelStricte ergodicité d'ensembles minimaux de substitution. CRAS278 (1974), 811 - 813 Zbl0274.60028MR362276
  18. [18] MichelStricte ergodicité d'ensembles minimaux de substitution. Lecture Notes in Math.532, Springer Verlag (1976), 189 - 201 Zbl0331.54036MR480942
  19. [19] MichelSur les ensembles minimaux engendrés par les substitutions de longueur non constante. Thèse Université de Rennes (1975) 
  20. [20] MichelMinimal sets generated by a substitution of non constant length. Astérisque40 (1976) 143 - 146 Zbl0356.54044MR453979
  21. [21] MorseRecurrent geodesics on a surface of negative curvature. Trans. Amer. Math. Soc. vol. 22 (1921) JFM48.0786.06
  22. [22] Morse- HedlundSymbolic dynamics II. Sturmian trajectories. Amer. J. of Math.62 (1940), 1 - 42 Zbl0022.34003MR745JFM66.0188.03
  23. [23] NeveuSur les suites de Toeplitz. Wahrscheinlichkeitstheorie und Verw. Geb.13 (1969), 132 - 134 Zbl0195.52801MR412385

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