Realization of joint spectral radius via ergodic theory

DOI10.3934/ERA.2011.18.22zbMath1218.15004OpenAlexW2322987254MaRDI QIDQ543051

Xiongping Dai, Yu Huang, Mingqing Xiao

Publication date: 16 June 2011

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2011.18.22

zbMATH Keywords

joint spectral radiusfiniteness conjectureergodic Borel probability measurerandom product of matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Ergodic theorems, spectral theory, Markov operators (37A30) Multilinear algebra, tensor calculus (15A69)

Related Items (5)

The finite-step realizability of the joint spectral radius of a pair of \(d \times d\) matrices one of which being rank-one ⋮ A Gel'fand-type spectral radius formula and stability of linear constrained switching systems ⋮ Extremal ergodic measures and the finiteness property of matrix semigroups ⋮ Zero temperature limits of Gibbs states for almost-additive potentials ⋮ Periodically switched stability induces exponential stability of discrete-time linear switched systems in the sense of Markovian probabilities

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