no. 3
On metric properties of substitutions
Compositio Mathematica, Tome 65 (1988) no. 3, pp. 241-263 
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     title = {On metric properties of substitutions},
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     publisher = {Kluwer Academic Publishers},
     volume = {65},
     number = {3},
     mrnumber = {932072},
     zbl = {0696.28009},
     language = {en},
     url = {https://www.numdam.org/item/CM_1988__65_3_241_0/}
}
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Lemańczyk, Mariusz; Mentzen, Mieczystaw K. On metric properties of substitutions. Compositio Mathematica, Tome 65 (1988) no. 3, pp. 241-263. https://www.numdam.org/item/CM_1988__65_3_241_0/

1 F.M. Dekking, The spectrum of dynamical systems arising from substitutions of constant length, Z. Wahr. Verw. Gcb. 41 (1978) 221-239. | Zbl | MR

2 S. Ferenczi, Systèmes localment de rang un, Ann. Inst. H. Poincaré 20 no 1 (1984). | Zbl | MR | Numdam

3 N. Friedman, Introduction to ergodic theory, Van Nostrand Reinholds Studies no 29, New York (1970). | Zbl | MR

4 H. Fürstenberg, Disjointness in ergodic theory, minimal sets and a problem in diophantine approximation, Math. Syst. Theory 1 (1967) 1-49. | Zbl | MR

5 A. Del Junco, Transformations with discrete spectrum are stacking transformations, Can. J. Math. 28 (1976) 836-839. | Zbl | MR

6 A. Del Junco, A transformation with simple spectrum which is not rank one, Can. J. Math. XXIX (1977) 655-663. | Zbl | MR

7 A. Del Junco and D.J. Rudolph, On ergodic actions whose self-joinings are graphs, preprint. | MR

8 J. King, The commutant is the weak closure of the powers for rank 1 transformations, Erg. Th. Dyn. Syst. 6 (1986) 363-384. | Zbl | MR

9 J. King, For mixing transformations rank (Tk) = k · rank (T), Isr. J. Math. 56 (1986) 102-122. | Zbl | MR

10 M. Lemańczyk, The centralizer of Morse shifts, Ann. Univ. Clermont-Ferrand 4 (1985) 43-56. | Zbl | MR | Numdam

11 M. Lemańczyk, The rank of regular Morse dynamical systems, Z. Wahr. Verw. Geb. 70 (1985) 33-48. | Zbl | MR

12 M. Lemańczyk and A. Sikorski, A class of not local rank one automorphisms arising from continuous substitutions, Prob. Theory and Rel. Fields 76 (1987) 421-428. | Zbl | MR

13 D. Newton, Coalescence and spectrum of automorphisms of a Lebesgue space, Z. Wahr. Verw. Geb. 19 (1971) 117-122. | Zbl | MR

14 D. Newton, On canonical factors of ergodic dynamical systems, J. London Math. Soc. (2) 19 (1979) 129-136. | Zbl | MR

15 M. Queffelec, Contribution á l'etude spectrale de suite arithmétiques, thesis (1984).

16 D. Rudolph, The second centralizer of a Bernoulli shifts is just its powers, Isr. J. Math. 29 (1978) 167-178. | Zbl | MR