Publications (40)
Duality and separation theorems in idempotent semimodules
Guy Cohen, Stephane Gaubert, Jean-Pierre Quadrat
The max-plus Martin boundary
Marianne Akian, Stephane Gaubert, Cormac Walsh
A convergent hierarchy of non-linear eigenproblems to compute the joint spectral radius of nonnegative matrices
Stephane Gaubert, Nikolas Stott
A maximin characterization of the escape rate of nonexpansive mappings in metrically convex spaces
Stephane Gaubert, Guillaume Vigeral
The Perron-Frobenius Theorem for Homogeneous, Monotone Functions
Stephane Gaubert, Jeremy Gunawardena
Spectral Theorem for Convex Monotone Homogeneous Maps, and Ergodic Control
Marianne Akian, Stephane Gaubert
How to find horizon-independent optimal strategies leading off to infinity: a max-plus approach
Marianne Akian, Stephane Gaubert, Cormac Walsh
Checking the strict positivity of Kraus maps is NP-hard
Stephane Gaubert, Zheng Qu
Best approximation in max-plus semimodules
Marianne Akian, Stephane Gaubert, Viorel Nitica +1
Max-plus convex sets and functions
Guy Cohen, Stephane Gaubert, Jean-Pierre Quadrat +1
Computing the vertices of tropical polyhedra using directed hypergraphs
Xavier Allamigeon, Stephane Gaubert, Eric Goubault
Tropical polar cones, hypergraph transversals, and mean payoff games
Xavier Allamigeon, Stephane Gaubert, Ricardo D. Katz
Multiple equilibria of nonhomogeneous Markov chains and self-validating web rankings
Marianne Akian, Stephane Gaubert, Laure Ninove
Iteration of order preserving subhomogeneous maps on a cone
Marianne Akian, Stephane Gaubert, Bas Lemmens +1
Minimal half-spaces and external representation of tropical polyhedra
Stephane Gaubert, Ricardo D. Katz
A Universal Approximation Result for Difference of log-sum-exp Neural Networks
Giuseppe C. Calafiore, Stephane Gaubert, Member +1
Uniqueness of the fixed point of nonexpansive semidifferentiable maps
Marianne Akian, Stephane Gaubert, Roger Nussbaum
Cyclic projectors and separation theorems in idempotent convex geometry
Stephane Gaubert, Sergei Sergeev
The number of extreme points of tropical polyhedra
Xavier Allamigeon, Stephane Gaubert, Ricardo D. Katz
The tropical double description method
Xavier Allamigeon, Stephane Gaubert, Eric Goubault
The Minkowski Theorem for Max-plus Convex Sets
Stephane Gaubert, Ricardo Katz
Dobrushin's ergodicity coefficient for Markov operators on cones
Stephane Gaubert, Zheng Qu
Reachability problems for products of matrices in semirings
Stephane Gaubert, Ricardo Katz
Min-plus methods in eigenvalue perturbation theory and generalised Lidskii-Vishik-Ljusternik theorem
Marianne Akian, Ravindra Bapat, Stephane Gaubert
The level set method for the two-sided eigenproblem
Stephane Gaubert, Sergei Sergeev
Solutions of max-plus linear equations and large deviations
Marianne Akian, Stephane Gaubert, Vassili Kolokoltsov
Stability and convergence in discrete convex monotone dynamical systems
Marianne Akian, Stephane Gaubert, Bas Lemmens
Circadian rhythm and cell population growth
Jean Clairambault, Stephane Gaubert, Thomas Lepoutre
Set coverings and invertibility of Functional Galois Connections
Marianne Akian, Stephane Gaubert, Vassili Kolokoltsov
Demand Response in the Smart Grid: the Impact of Consumers Temporal Preferences
Paulin Jacquot, Olivier Beaude, Nadia Oudjane +1
A Collatz-Wielandt characterization of the spectral radius of order-preserving homogeneous maps on cones
Marianne Akian, Stephane Gaubert, Roger Nussbaum
The optimal assignment problem for a countable state space
Marianne Akian, Stephane Gaubert, Vassili Kolokoltsov
Duality between invariant spaces for max-plus linear discrete event systems
Michael Di Loreto, Stephane Gaubert, Ricardo D. Katz +1
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations
Jean Clairambault, Stephane Gaubert, Benoit Perthame
Rational semimodules over the max-plus semiring and geometric approach of discrete event systems
Stephane Gaubert, Ricardo Katz
Perturbation of eigenvalues of matrix pencils and optimal assignment problem
Marianne Akian, Ravindra Bapat, Stephane Gaubert
Linear independence over tropical semirings and beyond
Marianne Akian, Stephane Gaubert, Alexander Guterman
Tropical linear-fractional programming and parametric mean payoff games
Stephane Gaubert, Ricardo D. Katz, Sergei Sergeev
Tropical polyhedra are equivalent to mean payoff games
Marianne Akian, Stephane Gaubert, Alexander Guterman
Discrete max-plus spectral theory
Marianne Akian, Stephane Gaubert, Cormac Walsh