66 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre de Mathématiques Appliquées de l'École polytechniqueFR13 papers
- École PolytechniqueFR12 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Institut national de recherche en sciences et technologies du numériqueFR6 papers
- Centre Inria de SaclayFR3 papers
- Brigade des Sapeurs Pompiers de ParisFR2 papers
- CERMICSFR2 papers
- École nationale des ponts et chausséesFR2 papers
- Électricité de France (France)FR2 papers
- Indian Statistical Institute, Delhi CentreIN2 papers
- Technische Universität BerlinDE2 papers
- Ashoka UniversityIN1 paper
5 papers · 1 filter
Stationary solutions of discrete and continuous Petri nets with priorities
Xavier Allamigeon, Vianney Boeuf, Stéphane Gaubert
We study a continuous dynamics for a class of Petri nets which allows the routing at non-free choice places to be determined by priorities rules. We show that this dynamics can be…
A tropical isoperimetric inequality
Jules Depersin, Stéphane Gaubert, Michael Joswig
We introduce tropical analogues of the notion of volume of polytopes, leading to a tropical version of the (discrete) classical isoperimetric inequality. The planar case is element…
Tropical totally positive matrices
Stéphane Gaubert, Adi Niv
We investigate the tropical analogues of totally positive and totally nonnegative matrices. These arise when considering the images by the nonarchimedean valuation of the correspon…
An Accretive Operator Approach to Ergodic Problems for Zero-Sum Games
Antoine Hochart
Mean payoff stochastic games can be studied by means of a nonlinear spectral problem involving the Shapley operator: the ergodic equation. A solution consists in a scalar, called t…
Non-archimedean valuations of eigenvalues of matrix polynomials
Marianne Akian, Ravindra Bapat, Stéphane Gaubert
We establish general weak majorization inequalities, relating the leading exponents of the eigenvalues of matrices or matrix polynomials over the field of Puiseux series with the t…