Semigroup of matrices acting on the max-plus projective space

DOI10.1016/j.laa.2009.03.029zbMath1189.15020OpenAlexW2007825437MaRDI QIDQ848573

Glenn Merlet

Publication date: 4 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.029

zbMATH Keywords

random matricesspectral theorycentral limit theoremtropical algebraaction of semigroupsmax-plus projective space

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Algebraic systems of matrices (15A30) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (11)

Semigroup identities of tropical matrix semigroups of maximal rank ⋮ Tropical matrix groups ⋮ On common eigenvectors for semigroups of matrices in tropical and traditional linear algebra ⋮ Identities in upper triangular tropical matrix semigroups and the bicyclic monoid ⋮ Two cores of a nonnegative matrix ⋮ Tropical plactic algebra, the cloaktic monoid, and semigroup representations ⋮ Multiplicative structure of \(2\times 2\) tropical matrices ⋮ Tropical linear maps on the plane ⋮ Max-algebraic attraction cones of nonnegative irreducible matrices ⋮ Comparison of max-plus automata and joint spectral radius of tropical matrices ⋮ The ultimate rank of tropical matrices

Cites Work

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• Some Relations Between Nonexpansive and Order Preserving Mappings
• Products of Irreducible Random Matrices in the (Max, +) Algebra
• Towards a (max,+) control theory for public transportation networks

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