Compactness of eigenvectors for certain families of non-negative matrices

DOI10.1016/0022-247X(90)90114-UzbMath0729.15011MaRDI QIDQ805709

Boyarski, Abraham, Góra, Paweł

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Markov chainscompactnessFrobenius-Perron operatornonnegative matricesMarkov transformationsstochastic matrixpiecewise linearleft eigenvectorspiecewise expanding map

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51)

Cites Work

• Unnamed Item
• Matrices and eigenfunctions induced by Markov maps
• Non-negative matrices and Markov chains. 2nd ed
• Computing the stationary distribution for infinite Markov chains
• Constructive approximations to densities invariant under nonexpanding transformations.
• Bounds for Perron eigenvectors and subdominant eigenvalues of positive matrices
• Compactness of Invariant Densities for Families of Expanding, Piecewise Monotonic Transformations
• On a Class of Transformations which have Unique Absolutely Continuous Invariant Measures
• Invariant Densities for Random Maps of the Interval
• Probabilistic Properties of Deterministic Systems

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