Spectral theorem for convex monotone homogeneous maps, and ergodic control
DOI10.1016/S0362-546X(02)00170-0zbMath1030.47048arXivmath/0110108OpenAlexW1967553012MaRDI QIDQ1863462
Stéphane Gaubert, Marianne Akian
Publication date: 11 March 2003
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0110108
Optimal stochastic control (93E20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Positive matrices and their generalizations; cones of matrices (15B48) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Max-plus and related algebras (15A80)
Related Items (28)
Cites Work
- Erratum: Periods of non-expansive operators on finite \(\ell_ 1\)-spaces
- Convexity and log convexity for the spectral radius
- Nonlinear models of diffusion on a finite space
- Periods of nonexpansive operators on finite \(\ell _ 1\)-spaces
- Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory
- Omega limit sets of nonexpansive maps: Finiteness and cardinality estimates
- Estimates of the periodic points for nonexpansive operators
- Minimax algebra
- A max version of the Perron-Frobenius theorem
- Min-max functions
- Some ergodic results on stochastic iterative discrete events systems
- Spectral theorem for convex monotone homogeneous maps, and ergodic control
- From max-plus algebra to nonexpansive mappings: A nonlinear theory for discrete event systems.
- Generalization of the Hilbert metric to the space of positive definite matrices
- The spectrum of a nonlinear operator associated with a matrix
- On the solvability of Bellman's functional equation for a Markovian decision process
- Dynamic Optimization of Long‐Term Growth Rate for a Portfolio with Transaction Costs and Logarithmic Utility
- A Nonlinear Perron-Frobenius Theorem
- Invariant families of cones and Lyapunov exponents
- Hilbert’s projective metric and iterated nonlinear maps
- Iterated nonlinear maps and Hilbert’s projective metric. II
- Invariant Half-Lines of Nonexpansive Piecewise-Linear Transformations
- Some Relations Between Nonexpansive and Order Preserving Mappings
- Convergence of iterates of a nonlinear operator arising in statistical mechanics
- The Asymptotic Solution of a Recursion Equation Occurring in Stochastic Games
- The Functional Equations of Undiscounted Markov Renewal Programming
- The Asymptotic Behavior of Undiscounted Value Iteration in Markov Decision Problems
- The duality theorem for min-max functions
- Generalizations of the Perron-Frobenius theorem for nonlinear maps
- Existence and uniqueness of diffusions on finitely ramified self-similar fractals
- Variational Analysis
- The Perron-Frobenius theorem for homogeneous, monotone functions
- Almost Sure Stabilizability and Riccati’s Equation of Linear Systems with Random Parameters
- Error bounds for rolling horizon policies in discrete-time Markov control processes
- Étude asymptotique des systèmes markoviens à commande
- Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
- An operator approach to zero-sum repeated games
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