Matrices of Polynomials, Positivity, and Finite Equivalence of Markov Chains

DOI10.2307/2152796zbMath0766.28008OpenAlexW4238767991MaRDI QIDQ4038327

Brian Marcus, Selim Tuncel

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2152796

zbMATH Keywords

Markov chainspositivityPerron-Frobenius theoremmatrices of polynomials\(\beta\)- function of a matrixcomplete invariant of finite equivalenceHandelman polynomials

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Entropy and other invariants (28D20) Positive matrices and their generalizations; cones of matrices (15B48) Matrices over function rings in one or more variables (15A54)

Related Items (7)

Strong shift equivalence theory and the shift equivalence problem ⋮ Characterization of polynomials whose large powers have fully positive coefficients ⋮ Boundary measures of Markov chains ⋮ Characterization of polynomials whose large powers have all positive coefficients ⋮ The mathematical research of William Parry FRS ⋮ The shift equivalence problem. ⋮ Powers of positive polynomials and codings of Markov chains onto Bernoulli shifts

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