234 citations · 529 across the 15 of their papers we have counts for
3 papers · 1 filter
Multiple equilibria of nonhomogeneous Markov chains and self-validating web rankings
Marianne Akian, Stephane Gaubert, Laure Ninove
PageRank is a ranking of the web pages that measures how often a given web page is visited by a random surfer on the web graph, for a simple model of web surfing. It seems realisti…
Cyclic projectors and separation theorems in idempotent convex geometry
Stephane Gaubert, Sergei Sergeev
Semimodules over idempotent semirings like the max-plus or tropical semiring have much in common with convex cones. This analogy is particularly apparent in the case of subsemimodu…
An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations
Jean Clairambault, Stephane Gaubert, Benoit Perthame
For monotone linear differential systems with periodic coefficients, the (first) Floquet eigenvalue measures the growth rate of the system. We define an appropriate arithmetico-geo…