Dynamics of products of nonnegative matrices

Autores/as

  • S. Jayaraman Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), India
  • Y.K. Prajapaty Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), India
  • S. Sridharan Indian Institute of Science Education and Research Thiruvananthapuram (IISER-TVM), India

DOI:

https://doi.org/10.17398/2605-5686.37.2.223

Palabras clave:

Products of nonnegative matrices, common eigenvectors, common periodic points, orbits of infinite matrix products

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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Referencias

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Publicado

2022-12-01

Número

Sección

Dynamical Systems

Cómo citar

Dynamics of products of nonnegative matrices. (2022). Extracta Mathematicae, 37(2), 223-242. https://doi.org/10.17398/2605-5686.37.2.223