Mixing Properties of Substitutions

F. M. Dekking; M. Keane

Publications mathématiques et informatique de Rennes (1976)

  • Volume: 42, Issue: 2, page 1-20

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Dekking, F. M., and Keane, M.. "Mixing Properties of Substitutions." Publications mathématiques et informatique de Rennes 42.2 (1976): 1-20. <http://eudml.org/doc/274556>.

@article{Dekking1976,
author = {Dekking, F. M., Keane, M.},
journal = {Publications mathématiques et informatique de Rennes},
language = {eng},
number = {2},
pages = {1-20},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Mixing Properties of Substitutions},
url = {http://eudml.org/doc/274556},
volume = {42},
year = {1976},
}

TY - JOUR
AU - Dekking, F. M.
AU - Keane, M.
TI - Mixing Properties of Substitutions
JO - Publications mathématiques et informatique de Rennes
PY - 1976
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 42
IS - 2
SP - 1
EP - 20
LA - eng
UR - http://eudml.org/doc/274556
ER -

References

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  1. 1. Chacon, R.V., Transformations having continuous spectrum. J. Math. Mech.16 (1966), 399 - 415. Zbl0154.30602MR207954
  2. 2. Coven, E.M. and Keane, M., The structure of substitution minimal sets. Trans. Amer. Math. Soc.162 (1971), 89 - 102. Zbl0205.28303MR284995
  3. 3. Dekking, F.M., The spectrum of dynamical systems arising from substitutions of constant length. Preprint (1977). Zbl0348.54034MR461470
  4. 4. Dekking, F.M., Keane, M. and Michel, P., Substitutions. Seminar manuscript, Rennes (1977). 
  5. 5. Friedman, N.A., Introduction to ergodic theory. Van Nostrand- Reinholt, New York (1970). Zbl0212.40004MR435350
  6. 6. Goodman, S. and Marcus B., Topological mixing of higher degrees. Preprint (1977). Zbl0408.54028MR509255
  7. 7. Gottschalk, W., and Hedlund, G.A., Topological dynamics. AMS Colloq. Publ. Vol. 36, Providence (1955). Zbl0067.15204
  8. 8. Halmos, P.R., Lectures on ergodic theory. Chelsea Publ. Co., New York (1956). Zbl0096.09004MR97489
  9. 9. Jacobs, K. and Keane, M., 0-1-Sequences of Toeplitz type. Z. Wahr. verw. Geb.13 (1969), 123 - 131. Zbl0195.52703MR255766
  10. 10. Kakutani, S., Strictly ergodic symbolic dynamical systems. Proc. VI Berk. Symp. vol. II (1972), 319 - 326. Zbl0262.28014MR404583
  11. 11. Kakutani, S., Examples of ergodic measure preserving transformations which are weakly mixing but not strongly mixing. SLN318 (1972) , 143 - 149. Zbl0267.28008MR396911
  12. 12. Michel, P., Stricte ergodicite d'ensembles minimaux de substitutions. CRAS278 (1974), 811 - 813. Zbl0274.60028MR362276
  13. 13. Neveu, J., Sur les suites de Toeplitz. Z. Wahr. verw. Geb.13 (1969), 132 - 134. Zbl0195.52801MR412385
  14. 14. Petersen, K.E., A topologically strongly mixing symbolic minimal set. Trans. Amer. Math. Soc.148 (1970), 603 - 612. Zbl0194.55001MR259884
  15. 15. Petersen, K.E. and Shapiro, L., Induced Flows. Trans. Amer. Math. Soc.177 (1973), 375 - 389. Zbl0229.54036MR322839

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