The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Spectral properties of G-symbolic Morse shifts

Jan Kwiatkowski; Andrzej Sikorski

Bulletin de la Société Mathématique de France (1987)

  • Volume: 115, page 19-33
  • ISSN: 0037-9484

How to cite

top

Kwiatkowski, Jan, and Sikorski, Andrzej. "Spectral properties of G-symbolic Morse shifts." Bulletin de la Société Mathématique de France 115 (1987): 19-33. <http://eudml.org/doc/87528>.

@article{Kwiatkowski1987,
author = {Kwiatkowski, Jan, Sikorski, Andrzej},
journal = {Bulletin de la Société Mathématique de France},
keywords = {G-symbolic Morse dynamical systems; spectral properties of Morse shifts over finite Abelian groups; shift transformation; Morse sequences; maximal spectral multiplicity},
language = {eng},
pages = {19-33},
publisher = {Société mathématique de France},
title = {Spectral properties of G-symbolic Morse shifts},
url = {http://eudml.org/doc/87528},
volume = {115},
year = {1987},
}

TY - JOUR
AU - Kwiatkowski, Jan
AU - Sikorski, Andrzej
TI - Spectral properties of G-symbolic Morse shifts
JO - Bulletin de la Société Mathématique de France
PY - 1987
PB - Société mathématique de France
VL - 115
SP - 19
EP - 33
LA - eng
KW - G-symbolic Morse dynamical systems; spectral properties of Morse shifts over finite Abelian groups; shift transformation; Morse sequences; maximal spectral multiplicity
UR - http://eudml.org/doc/87528
ER -

References

top
  1. [1] BAXTER (J. R.). — A class of ergodic transformations having simple spectra, P.A.M.S., Vol. 27, 1971, pp. 275-279. Zbl0206.06404MR43 #2187
  2. [2] COQUET (J.), KAMAE (T.) et MENDES-FRANCE (M.). — Sur la mesure spectrale de certaines suites arithmétiques, Bull. Soc. Math. France, Vol. 105, 1977, pp. 369-384. Zbl0383.10035MR57 #12439
  3. [3] DEL JUNCO (A.). — A transformation with simple spectrum which is not rank one, Can. J. Math., Vol. 29, No. 3, 1977, pp. 653-663. Zbl0335.28010MR57 #6367
  4. [4] GOODSON (G. R.). — On the spectral multiplicity of a class of finite rank transformation, preprint, 1984. 
  5. [5] KAKUTANI (S.). — Strictly ergodic symbolic dynamical systems, Proc. 6th Berkeley Symp., Vol. 2, pp. 319-326. Zbl0262.28014MR53 #8383
  6. [6] KEANE (M.). — Generalized Morse sequences, Z. Wahr. verw. Geb., Vol. 10, 1968, pp. 335-353. Zbl0162.07201MR39 #406
  7. [7] KEANE (M.). — Strongly mixing g-measures, Inventiones Math., Vol. 16, No. 4, 1972, pp. 309-324. Zbl0241.28014MR46 #9295
  8. [8] KWIATKOWSKI (J.). — Spectral isomorphism of Morse dynamical systems, Bull. Acad. Pol. Sc., serie sc. math., Vol. XXIX, No. 3-4, 1981, pp. 105-114. Zbl0496.28019MR83g:28033
  9. [9] KWIATKOWSKI (J.). — Isomorphism of regular Morse dynamical systems induced by arbitrary blocks, Studia Math., Vol. 84, No. 3 (to appear). Zbl0674.58023MR88g:28020a
  10. [10] LEMANCZYK (M.). — The centralizer of Morse shifts. Zbl0587.28016
  11. [11] MARTIN (J. C.). — Generalized Morse sequences on n-symbols, P.A.M.S., Vol. 54, 1976, pp. 379-383. Zbl0317.54054MR52 #11880
  12. [12] MARTIN (J. C.). — The structure of generalized Morse minimal sets on n-symbols, P.A.M.S., Vol. 2, 1977, pp. 343-355. Zbl0375.28010MR57 #3352
  13. [13] QUEFFELEC (M.). — Mesures spectrales associées à certaines suites arithmétiques, Bull. Soc. Math. France, Vol. 107, 1979, pp. 385-421. Zbl0435.42007MR81c:10071
  14. [14] QUEFFELEC (M.). — Contribution à l'étude spectrale de suites arithmétiques, Thèse, 1984. 
  15. [15] PARRY (W.). — Topics in ergodic theory, Cambridge, University Press, 1981. Zbl0449.28016MR83a:28018
  16. [16] ROBINSON (E. R.). — Ergodic measure preserving transformations with arbitrary finite spectral multiplicity, Preprint, University of Maryland, 1982. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.