Dynamics of products of nonnegative matrices

• S. Jayaraman ^[1] ; Y.K. Prajapaty ^[1] ; Shrihari Sridharan ^[1]
  1. [1] Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), India
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 37, Nº 2, 2022, págs. 223-242
• Idioma: inglés
• DOI: 10.17398/2605-5686.37.2.223
• Enlaces
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• Resumen

  • The aim of this manuscript is to understand the dynamics of products of nonnegative matrices. We extend a well known consequence of the Perron-Frobenius theorem on the periodic points of a nonnegative matrix to products of finitely many nonnegative matrices associated to a word and later to products of nonnegative matrices associated to a word, possibly of infinite length.

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