The centralizer of Morse shifts
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1985)
- Volume: 87, Issue: 4, page 43-56
- ISSN: 0246-1501
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topLemanczyk, Mariusz. "The centralizer of Morse shifts." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 87.4 (1985): 43-56. <http://eudml.org/doc/80626>.
@article{Lemanczyk1985,
author = {Lemanczyk, Mariusz},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {coalescence; measurable flows; centralizer of Morse shifts; regular Morse sequence; mirror map; ergodic automorphisms},
language = {eng},
number = {4},
pages = {43-56},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {The centralizer of Morse shifts},
url = {http://eudml.org/doc/80626},
volume = {87},
year = {1985},
}
TY - JOUR
AU - Lemanczyk, Mariusz
TI - The centralizer of Morse shifts
JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY - 1985
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 87
IS - 4
SP - 43
EP - 56
LA - eng
KW - coalescence; measurable flows; centralizer of Morse shifts; regular Morse sequence; mirror map; ergodic automorphisms
UR - http://eudml.org/doc/80626
ER -
References
top- [1] L.M. Abramov, V.A. Rohlin, The entropy of a skew product of measure preserving transformations, Vesta, Len. Univ.7 /1962/, 5-17 / in Russian / Zbl0156.06102MR140660
- [2] J.R. Blum, N. Friedman, Commuting transformations and roots, Proc. Amer. Mat. Soc.7 /1966/, 1370-1374 Zbl0185.29002MR204612
- [3] E. Coven, Endomorphisms of substitution minimal sets, Z. Wahr. verw. Geb.20 /1971/, 129-133 Zbl0211.56405MR307212
- [4] -, M. Keane, The structure of substitution minimal sets, Trans. Amer. Mat. Soc.62/1971/, 89-102 Zbl0205.28303MR284995
- [5] P.R. Halmos, Introduction to Hilbert space, Chelsea1951
- [6] -, Lectures on Ergodic Theory, Mosoou 1959 / in Russian /
- [7] A. del Junco, A transformation with simple spectrum which is not rank one, Can. J. Math.29 no 3 /1977/, 655-663 Zbl0335.28010MR466489
- [81 -, A simple measure preserving transformation with trivial centralizer, Pacific J. Math.79 /1978/, 357-362 Zbl0368.28019MR531323
- [9] B. Kamiński, Some properties of coalescent automorphisms of a Lebesgue space, Ann. Soc. Math. Pol. Ser. I Comm. Math.2 /1979/, 95-99 Zbl0435.28016MR577675
- [10] A.B. Katok, A.M. Stepin, Approximation in Ergodic Theory, |spiekhiMat. Nauk225 /137/ /1967/, 81-105 Zbl0172.07202MR219697
- [11] A.B. Katok, Ya.G. Sinai, A.M. Stepin, Theory of dynamical systems and general transformation groups with invariant measure, Itogi Nauki Tech. Ser. Mat. Anal.13 /1975/, 129-262 Zbl0399.28011MR584389
- [12] M. Keane, Generalized Morse sequences, Z. Wahr. verw. Geb.10 /1968/, 335-353 Zbl0162.07201MR239047
- [13] J. Kwiatkowski, Spectral isomorphism Of Morse dynamical systems, Bull. L'Acad. Pol.29 no 3-4 /1981/, 105-114 Zbl0496.28019MR638749
- [14] M. Lemańczyk, The rank of regular Morse dynamical systems, / to appear / Zbl0549.28026MR795787
- [15] M. Lemańczyk, The sequence entropy for Morse shifts and some counterexamples, Studia Math. /to appear/ Zbl0594.28022MR825480
- [16] J.C. Martin, Generalized Morse sequences on n-symbols, Proc. Amer. Math. Soc.54 /1976 /, 379-383 Zbl0317.54054MR391058
- [17] -, The structure of generalized Morse minimal seta on n-symbols, Trans. Amer. Math. Soc.2 /1977/, 343-355 Zbl0375.28010MR463400
- [18] D. Newton, Coalescence and spectrum of automorphisms of a Lebesgue space, Z. Wahr. verw. Geb.19 /1971/, 117-122 Zbl0209.36302MR289748
- [19] M. Osikawa, Centralizer of an ergodio Measure preserving transformation, Publ. Res. Inst. Math. Sc. Kyoto U.18 no1/1982/ 35-48 Zbl0494.28006MR660821
- [20] D. Rudolph, An example of a measure-preserving map with minimal self-joinings and applications, J. d'Analyze Math.35 /1980/, 97-122 Zbl0446.28018MR555301
- [21] P. Walters, Some invariant 6-algebras for measure-preserving transformatios, Trans. Amer. Math. Soc.163 /1972/,357-368 Zbl0227.28011MR291413
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