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18 papers · 1 filter
The max-plus Martin boundary
Marianne Akian, Stephane Gaubert, Cormac Walsh
We develop an idempotent version of probabilistic potential theory. The goal is to describe the set of max-plus harmonic functions, which give the stationary solutions of determini…
EURYDICE : A platform for unified access to documents
Serge Rouveyrol, Yves Chiaramella, Francesca Leinardi +4
In this paper we present Eurydice, a platform dedicated to provide a unified gateway to documents. Its basic functionalities about collecting documents have been designed based on…
Generating functions for generating trees
Cyril Banderier, Philippe Flajolet, Daniele Gardy +3
Certain families of combinatorial objects admit recursive descriptions in terms of generating trees: each node of the tree corresponds to an object, and the branch leading to the n…
Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems
Michael Malisoff, Frederic Mazenc
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given a…
Brieskorn modules and Gauss-Manin systems for non isolated hypersurface singularities
Daniel Barlet, Morihiko Saito
We study the Brieskorn modules associated to a germ of holomorphic function with non-isolated singularities, and show that the Brieskorn module has naturally a structure of a modul…
Iteration of order preserving subhomogeneous maps on a cone
Marianne Akian, Stephane Gaubert, Bas Lemmens +1
We investigate the iterative behaviour of continuous order preserving subhomogeneous maps that map a polyhedral cone into itself. For these maps we show that every bounded orbit co…