an:00612364
Zbl 0820.68092
Ferenczi, S.
Tiling and local rank properties of the Morse sequence
EN
Theor. Comput. Sci. 129, No. 2, 369-383 (1994).
00021016
1994
j
68R15
Morse sequence
Summary: We study some combinatoric properties of the Morse sequence, linked with its ergodic properties of local rank one and local funny rank one; we show that the maximum part of the Morse sequence that may be covered by disjoint translates of one word is exactly of density 2/3, even allowing for some errors in the tiling; when we replace words by patterns (words with holes), 2/3 can be replaced by at least 5/6.