The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length

F. M. Dekking

Publications mathématiques et informatique de Rennes (1976)

  • Issue: 2, page 1-34

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Dekking, F. M.. "The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length." Publications mathématiques et informatique de Rennes (1976): 1-34. <http://eudml.org/doc/273774>.

@article{Dekking1976,
author = {Dekking, F. M.},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {2},
pages = {1-34},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length},
url = {http://eudml.org/doc/273774},
year = {1976},
}

TY - JOUR
AU - Dekking, F. M.
TI - The Spectrum of Dynamical Systems Arising from Substitutions of Constant Length
JO - Publications mathématiques et informatique de Rennes
PY - 1976
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 2
SP - 1
EP - 34
LA - eng
UR - http://eudml.org/doc/273774
ER -

References

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  1. 1. E. Coven and G.A. Hedlund, Sequences with minimal block growth, Math. Systems Theory7 (1973), 138 - 153. Zbl0256.54028MR322838
  2. 2. E. Coven and M. Keane, The structure of substitution minimal sets, Trans. Amer. Math. Soc.162 (1971), 89 - 102. Zbl0205.28303MR284995
  3. 3. M. Dekking, P. Michel and M. Keane, Substitutions, Seminar, Rennes (1977), unpublished manuscript. 
  4. 4. Robert Ellis and W.H. Gottschalk, Homomorphisms of transformation groups, Trans. Amer. Math . Soc.94 (1960), 258 - 271. Zbl0094.17401MR123635
  5. 5. W.H. Gottschalk, Substitution minimal sets, Trans. Amer. Math. Soc.109 (1963), 467 - 491. Zbl0121.18002MR190915
  6. 6. S. Kakutani, Induced measure preserving transformations, Proc. Imp. Acad. Tokyo19 (1943), 635 - 641. Zbl0060.27406MR14222
  7. 7. Teturo Kamae, A topological invariant of substitution minimal sets, J. Math. Soc. Japan24 (1972), 285 - 306. Zbl0232.54052MR293611
  8. 8. Benjamin G.Klein, Homomorphisms of symbolical dynamical systems, Math. Systems Theory6 (1972), 107 - 122. Zbl0235.54042MR305383
  9. 9. John C. Martin, Substitution minimal flows, Amer. J. Math93 (1971), 503 - 526. Zbl0221.54039MR300261
  10. 10. John C. Martin, Minimal flows arising from substitutions of nonconstant length, Math. Systems Theory7 (1973), 73 - 82. Zbl0256.54026MR324679
  11. 11. P. Michel, Stricte ergodicité d'ensembles minimaux de substitutions, C.R.A.S.278 (1974), 811 - 813. Zbl0274.60028MR362276
  12. 12. P. Michel, Coincidence values and spectra of substitutions, preprint (1977). Zbl0357.54030MR486421
  13. 13. K. Petersen and L. Shapiro, Induced flows, Trans. Amer. Math. Soc.177 (1973), 375-389. Zbl0229.54036MR322839
  14. 14. B.L. van der Waerden, Modern algebra, vol. 1, second edition, Frederick Ungar Publishing CoNew York (1949). Zbl0039.00902

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