Large deviations of products of random topical operators.

DOI10.1214/aoap/1015961166zbMath1073.60027OpenAlexW1992312493MaRDI QIDQ1872415

Fergal Toomey

Publication date: 6 May 2003

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1015961166

zbMATH Keywords

nonnegative matricesmax-plus algebradiscrete event systems

Mathematics Subject Classification ID

Large deviations (60F10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Random nonlinear operators (47H40) Random dynamical systems (37H99)

Related Items (2)

Tail asymptotics for discrete event systems ⋮ Tails for (max, plus) recursions under subexponentiality

Cites Work

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• Eigenvalues of dynamic max-min systems
• Min-max functions
• Some Relations Between Nonexpansive and Order Preserving Mappings
• Products of Irreducible Random Matrices in the (Max, +) Algebra
• Stochastic vector difference equations with stationary coefficients
• Thermodynamic probability theory: some aspects of large deviations
• On the exponentiality of stochastic linear systems under the max-plus algebra

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