Matrix semigroups with constant spectral radius

DOI10.1016/j.laa.2016.10.013zbMath1359.15010arXiv1407.6568OpenAlexW2342327755MaRDI QIDQ344918

A. S. Voynov, Vladimir Yu. Protasov

Publication date: 25 November 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6568

zbMATH Keywords

fractal curvesspectral radiusconvex bodypolynomial algorithmellipsoidlinear switching systemsmultiplicative semigroupfinite matrix groupjoint spectral characteristics

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30) Matrices of integers (15B36)

Related Items (11)

Some observations on K\"aenm\"aki measures ⋮ Uniformity of singular value exponents for typical cocycles ⋮ Hausdorff dimensions for graph-directed measures driven by infinite rooted trees ⋮ Computing the spectral gap of a family of matrices ⋮ On the gap between deterministic and probabilistic Lyapunov exponents for continuous-time linear systems ⋮ Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles ⋮ On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems ⋮ Uniformity of Lyapunov exponents for non-invertible matrices ⋮ Unnamed Item ⋮ On arithmetic sums of fractal sets in Rd ⋮ On the semigroup property for some structured iterations

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