Perron-Frobenius theory and frequency convergence for reducible substitutions

Article, Preprint English OPEN
Lustig, Martin; Uyanik, Caglar;
(2016)
  • Publisher: HAL CCSD
  • Related identifiers: doi: 10.3934/dcds.2017015
  • Subject: reducible substitutions | Mathematics - Rings and Algebras | [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS] | Perron-Frobenius | primitive substitutions | Mathematics - Dynamical Systems | [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] | invariant measures | [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] | [ MATH.MATH-RA ] Mathematics [math]/Rings and Algebras [math.RA] | invariant-measures | matrices | frequencies | Perron-Frobenius theory

v.2 Minor revisions for submission; International audience; We prove a general version of the classical Perron-Frobenius convergence property for reducible matrices. We then apply this result to reducible substitutions and use it to produce limit frequencies for factors... View more
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