On the multiplicity function of ergodic group extensions of rotations

 Access to full text

 Full (PDF)

1. [1] O. N. Ageev, Dynamical systems with a Lebesgue component of even multiplicity in the spectrum, Mat. Sb. 136 (178) (1988), 307-319 (in Russian). 
2. [2] S. Ferenczi and J. Kwiatkowski, Rank and spectral multiplicity function, this volume, 201-224. Zbl0809.28013
3. [3] G. R. Goodson, On the spectral multiplicity of a class of finite rank transformations, Proc. Amer. Math. Soc. 93 (1985), 303-306. Zbl0551.28019
4. [4] G. R. Goodson and M. Lemańczyk, On the rank of a class of bijective substitutions, Studia Math. 96 (1990), 219-230. Zbl0711.28007
5. [5] A. B. Katok, Constructions in Ergodic Theory, Progr. Math., Birkhäuser, Boston, Mass., to appear. Zbl1030.37001
6. [6] M. Keane, Generalized Morse sequences, Z. Wahrsch. Verw. Gebiete 10 (1968), 335-353. Zbl0162.07201
7. [7] J. Kwiatkowski, Spectral isomorphism of Morse dynamical systems, Bull. Acad. Polon. Sci. 29 (1981), 105-114. Zbl0496.28019
8. [8] J. Kwiatkowski and A. Sikorski, Spectral properties of G-symbolic Morse shifts, Bull. Soc. Math. France 115 (1987), 19-33. Zbl0624.28014
9. [9] M. Lemańczyk, Toeplitz Z₂-extensions, Ann. Inst. H. Poincaré Probab. Statist. 24 (1988), 1-43. 
10. [10] J. C. Martin, Generalized Morse sequences on n symbols, Proc. Amer. Math. Soc. 54 (1976), 379-383. 
11. [11] J. C. Martin, The structure of generalized Morse minimal sets on n symbols, Trans. Amer. Math. Soc. 232 (1977), 343-355. Zbl0375.28010
12. [12] J. Mathew and M. G. Nadkarni, Measure preserving transformations whose spectra have a Lebesgue component of finite multiplicity, preprint. Zbl0515.28010
13. [13] D. Newton, On canonical factors of ergodic dynamical systems, J. London Math. Soc. 19 (1979), 129-136. Zbl0425.28012
14. [14] W. Parry, Compact abelian group extensions of discrete dynamical systems, Z. Wahrsch. Verw. Gebiete 13 (1969), 95-113. Zbl0184.26901
15. [15] M. Queffélec, Contribution à l'étude spectrale de suites arithmétiques, Thèse, 1984. 
16. [16] E. A. Robinson, Ergodic measure preserving transformations with arbitrary finite spectral multiplicities, Invent. Math. 72 (1983), 299-314. Zbl0519.28008
17. [17] E. A. Robinson, Transformations with highly nonhomogeneous spectrum of finite multiplicity, Israel J. Math. 56 (1986), 75-88. Zbl0614.28012
18. [18] E. A. Robinson, Spectral multiplicity for non-abelian Morse sequences, in: Lecture Notes in Math. 1342, Springer, 1988, 645-652. 
19. [19] E. A. Robinson, Non-abelian extensions have nonsimple spectra, Compositio Math. 65 (1988), 155-170. Zbl0641.28011

1. I. Filipowicz, Product ${\mathbb{Z}}^d$-actions on a Lebesgue space and their applications
2. Krzysztof Frączek, Cyclic space isomorphism of unitary operators
3. Mélanie Guenais, Spectres de M-extensions aléatoires
4. Jakub Kwiatkowski, Mariusz Lemańczyk, On the multiplicity function of ergodic group extensions, II
5. Sébastien Ferenczi, Jan Kwiatkowski, Rank and spectral multiplicity
6. Jan Kwiatkowski, Inverse limit of M -cocycles and applications
7. Jan Kwiatkowski, Yves Lacroix, Finite rank transformation and weak closure theorem