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Matrices of Perron numbers

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Publication:1183264
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DOI10.1016/0022-314X(92)90040-VzbMath0748.11051MaRDI QIDQ1183264

Douglas Lind

Publication date: 28 June 1992

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

eigenvectorspectral radiuspositive matrixalgebraic integerPerron numberaperiodic matrix


Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Matrices, determinants in number theory (11C20)


Related Items

Substitutions, abstract number systems and the space filling property ⋮ On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number



Cites Work

  • Unnamed Item
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  • On the Perron-Frobenius eigenvector for nonnegative integral matrices whose largest eigenvalue is integral
  • Factors and extensions of full shifts
  • The entropies of topological Markov shifts and a related class of algebraic integers
  • The maximal modulus of an algebraic integer
  • Subsystems, Perron numbers, and continuous homomorphisms of Bernoulli shifts
  • Algorithms for sliding block codes - An application of symbolic dynamics to information theory
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