Coincidence for substitutions of Pisot type

Bulletin de la Societe Mathematique de France

Volumn 130, Issue 4, 2002, Pages 619-626

  Barge, Marcy ^a   Diamond, Beverly ^b  

^a MONTANA STATE UNIVERSITY   (United States)

^b Department of Teacher Education and Department of Sociology and Anthropology   (United States)

Author keywords

Coincidence conjecture; Dynamical system; Pisot; Pure discrete spectrum; Substitution

Indexed keywords

EID: 0013290568     PISSN: 00379484     EISSN: None     Source Type: Journal    
DOI: 10.24033/bsmf.2433     Document Type: Article

References (13)

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3. BERTHÉ (V.), FERENCZI (S.), MAUDUIT (C.) & SIEGEL (A.), eds. Introduction to Finite Automata and Substitutions Dynamical Systems. Lectures Notes in Mathematics, Springer-Verlag, to appear, http://iml. univ-mrs.fr/editions/preprint00/book/prebookdac.html.
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8. LIVSHITS (A.N.) - On the spectra of adic transformations of Markov compact sets, Uspekhi Mat. Nauk, t. 42 (1987), pp. 189-190, English translation: Russian Math. Surveys 42 (1987), p. 222-223.
9. LIVSHITS (A.N.) - On the spectra of adic transformations of Markov compact sets, Uspekhi Mat. Nauk, t. 42 (1987), pp. 189-190, English translation: Russian Math. Surveys 42 (1987), p. 222-223.
10. _, Sufficient conditions for weak mixing of substitutions and of stationary adic transformations, Mat. Zametki, t. 44 (1988), pp. 785-793, 862, English translation: Math. Notes 44 (1988), p. 920-925.
11. _, Sufficient conditions for weak mixing of substitutions and of stationary adic transformations, Mat. Zametki, t. 44 (1988), pp. 785-793, 862, English translation: Math. Notes 44 (1988), p. 920-925.
12. SIEGEL (A.) - Représentation des systèmes dynamiques substitutifs non unimodulaires, preprint to appear in Ergodic Theory and Dynamical Systems.
13. _, Représentation géométrique, comminatoire et arithmétique des substitutions de type Pisot, Ph.D. Thesis, Université de la Méditerranée, 2000.