A disjointness theorem involving topological entropy

François Blanchard

Bulletin de la Société Mathématique de France (1993)

  • Volume: 121, Issue: 4, page 465-478
  • ISSN: 0037-9484

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Blanchard, François. "A disjointness theorem involving topological entropy." Bulletin de la Société Mathématique de France 121.4 (1993): 465-478. <http://eudml.org/doc/87674>.

@article{Blanchard1993,
author = {Blanchard, François},
journal = {Bulletin de la Société Mathématique de France},
keywords = {topological entropy; disjointness; standard cover; entropy pair; diagonal flow; minimal zero-entropy flows},
language = {eng},
number = {4},
pages = {465-478},
publisher = {Société mathématique de France},
title = {A disjointness theorem involving topological entropy},
url = {http://eudml.org/doc/87674},
volume = {121},
year = {1993},
}

TY - JOUR
AU - Blanchard, François
TI - A disjointness theorem involving topological entropy
JO - Bulletin de la Société Mathématique de France
PY - 1993
PB - Société mathématique de France
VL - 121
IS - 4
SP - 465
EP - 478
LA - eng
KW - topological entropy; disjointness; standard cover; entropy pair; diagonal flow; minimal zero-entropy flows
UR - http://eudml.org/doc/87674
ER -

References

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  1. [AKM] ADLER (R.L.), KONHEIM (A.G.) and MCANDREW (M.H.). — Topological entropy, Trans. Amer. Math. Soc., t. 114, 1965, p. 309-319. Zbl0127.13102MR30 #5291
  2. [Au] AUSLANDER (J.). — Minimal flows and their extensions. — North-Holland Math. Studies 153, North-Holland, Amsterdam, 1988. Zbl0654.54027MR89m:54050
  3. [B] BLANCHARD (F.). — Fully positive topological entropy and topological mixing, Symbolic Dynamics and Applications (in honour of R.L. Adler), AMS Contemporary Mathematics, Providence, RI, 1992. Zbl0783.54033MR93k:58134
  4. [BL] BLANCHARD (F.) and LACROIX (Y.). — Zero-entropy factors of topological flows, to appear in Proc. AMS. Zbl0787.54040
  5. [DGS] DENKER (M.), GRILLENBERGER (C.) and SIGMUND (K.). — Ergodic theory on compact spaces, Lecture Notes in Math., t. 527, Springer, Berlin, 1976. Zbl0328.28008MR56 #15879
  6. [F] FURSTENBERG (H.). — Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation, Math. Systems Th., t. 1, 1967, p. 1-55. Zbl0146.28502MR35 #4369
  7. [GW] GLASNER (G.) and WEISS (B.). — Strictly ergodic, uniform positive entropy models, to appear in Bull. Soc. Math. France. Zbl0833.54022
  8. [HK] HAHN (F.) and KATZNELSON (Y.). — On the entropy of uniquely ergodic transformations, Trans. Amer. Math. Soc., t. 126, 1967, p. 335-360. Zbl0191.21502MR34 #7772
  9. [P] PETERSEN (K.). — Disjointness and weak mixing of minimal sets, Proc. Amer. Math. Soc., t. 24, 1970, p. 278-280. Zbl0188.55503MR40 #3522
  10. [We] WEISS (B.). — Topological transitivity and ergodic measures, Math. Systems Th., t. 5, 1971, p. 71-75. Zbl0212.40103MR45 #5987
  11. [Wi] WILLIAMS (S.). — Tœplitz minimal flows which are not uniquely ergodic, Z. Wahrscheinlichkeitsth. verw. Gebiete, t. 57, 1984, p. 95-107. Zbl0584.28007MR86k:54062

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