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Reachability problems for products of matrices in semirings

 Stéphane Gaubert , Ricardo David Katz
[Research Report] RR-4944, INRIA. 2003
Rapport inria-00071635v1
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Asymptotics of the Perron Eigenvalue and Eigenvector Using Max-Algebra

 Marianne Akian , Ravindra Bapat , Stéphane Gaubert
[Research Report] RR-3450, INRIA. 1998
Rapport inria-00073240v1
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Series Expansions of Lyapunov Exponents and Forgetful Monoids

 Stéphane Gaubert , Dohy Hong
RR-3971, INRIA. 2000
Rapport inria-00072677v1

The tropical shadow-vertex algorithm solves mean payoff games in polynomial time on average

 Xavier Allamigeon , Pascal Benchimol , Stéphane Gaubert
ICALP 2014, Jul 2014, Copenhagen, France. pp.12, ⟨10.1007/978-3-662-43948-7_8⟩
Communication dans un congrès hal-01096447v1

Fixed Point Sets of Payment-Free Shapley Operators and Structural Properties of Mean Payoff Games

 Marianne Akian , Stephane Gaubert , Antoine Hochart
MTNS 2014, Jul 2014, Groningen, Netherlands
Communication dans un congrès hal-01112278v1

Performance evaluation of an emergency call center: tropical polynomial systems applied to timed Petri nets

 Xavier Allamigeon , Vianney Boeuf , Stéphane Gaubert
13th International Conference, Formal Modeling and Analysis of Timed Systems (FORMATS 2015), Sep 2015, Madrid, Spain. ⟨10.1007/978-3-319-22975-1_2⟩
Communication dans un congrès hal-01248814v1

Dobrushin ergodicity coefficient for Markov operators on cones, and beyond

 Stéphane Gaubert , Zheng Qu
2013
Pré-publication, Document de travail hal-00935272v1
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Circadian rhythm and cell population growth

 Jean Clairambault , Stephane Gaubert , Thomas Lepoutre
2010
Pré-publication, Document de travail hal-00492983v1

Tropical bounds for eigenvalues

 Marianne Akian , Stéphane Gaubert , Andrea Marchesini
ILAS - 18th Conference of the International Linear Algebra Society, Jun 2013, Providence, United States
Communication dans un congrès hal-00932813v1

Tropical compound matrix identities

 Marianne Akian , Stéphane Gaubert , Adi Niv
Linear Algebra and its Applications, 2018, 551, pp.162-206. ⟨10.1016/j.laa.2018.04.006⟩
Article dans une revue hal-01469638v1

A tropical approach to bilevel programming: application to a price incentives model in mobile data networks

 Marianne Akian , Mustapha Bouhtou , Jean Bernard Eytard , Stephane Gaubert
SIAM Applied Algebraic Geometry (SIAMAG), Jul 2017, Atlanta, United States
Communication dans un congrès hal-01676700v1

Quadratic regularization of bilevel pricing problems and application to electricity retail markets

 Quentin Jacquet , Wim van Ackooij , Clémence Alasseur , Stéphane Gaubert
European Journal of Operational Research, 2024, 313 (3), pp.841-857. ⟨10.1016/j.ejor.2023.05.006⟩
Article dans une revue hal-03504874v1
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A maximin characterization of the escape rate of non-expansive mappings in metrically convex spaces

 Stéphane Gaubert , Guillaume Vigeral
Mathematical Proceedings of the Cambridge Philosophical Society, 2012, 152 (2), pp.341-363. ⟨10.1017/S0305004111000673⟩
Article dans une revue hal-00661863v1

The tropicalization of the entropic barrier

 Xavier Allamigeon , Abdellah Aznag , Stéphane Gaubert , Yassine Hamdi
2020
Pré-publication, Document de travail hal-03151661v1

A convergent hierarchy of non-linear eigenproblems to compute the joint spectral radius of nonnegative matrices

 Stéphane Gaubert , Nikolas Stott
Mathematical Control and Related Fields, 2020, 10 (3), pp.573-590. ⟨10.3934/mcrf.2020011⟩
Article dans une revue hal-01967552v1

Tropical Complementarity Problems and Nash Equilibria

 Xavier Allamigeon , Stéphane Gaubert , Frédéric Meunier
SIAM Journal on Discrete Mathematics, 2023, 37 (3), pp.1645-1665. ⟨10.1137/21M1446861⟩
Article dans une revue hal-04355016v1
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A bilevel optimization model for load balancing in mobile networks through price incentives

 Marianne Akian , Mustapha Bouhtou , Jean-Bernard Eytard , Stéphane Gaubert
2018
Pré-publication, Document de travail hal-01972785v1

Uniqueness of the fixed point of nonexpansive semidifferentiable maps

 Marianne Akian , Stephane Gaubert , Roger Nussbaum
Transactions of the American Mathematical Society, 2016, 368 (2), ⟨10.1090/S0002-9947-2015-06413-7⟩
Article dans une revue hal-00783682v1

La méthode du simplexe tropical

 Xavier Allamigeon , Pascal Benchimol , Stephane Gaubert , Michael Joswig
ROADEF - 15ème congrès annuel de la Société française de recherche opérationnelle et d’aide à la décision, Société française de recherche opérationnelle et d’aide à la décision (ROADEF), Feb 2014, Bordeaux, France
Communication dans un congrès hal-01097726v1

Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots

 Marianne Akian , Stéphane Gaubert , Meisam Sharify
Linear Algebra and its Applications, 2017, 528, pp.394--435. ⟨10.1016/j.laa.2016.11.004⟩
Article dans une revue hal-00881196v1

Set coverings and invertibility of Functional Galois Connections

 Marianne Akian , Stéphane Gaubert , Vassili Kolokoltsov
G.L. Litvinov and V.P. Maslov. Idempotent Mathematics and Mathematical Physics, 377 (377), American Mathematical Society, pp.19-51, 2005, Contemporary Mathematics
Chapitre d'ouvrage inria-00000966v1

Bit-complexity estimates in geometric programming, and application to the polynomial-time computation of the spectral radius of nonnegative tensors

 Shmuel Friedland , Stéphane Gaubert
2023
Pré-publication, Document de travail hal-04365626v1

Spectral inequalities for nonnegative tensors and their tropical analogues

 Shmuel Friedland , Stéphane Gaubert
Vietnam Journal of Mathematics, 2020, Special Issue in the Honor of Volker Mehrmann, 48 (4), pp.893-928. ⟨10.1007/s10013-020-00432-0⟩
Article dans une revue hal-01969021v1
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Multi-stage Stochastic Alternating Current Optimal Power Flow with Storage: Bounding the Relaxation Gap

 Maxime Grangereau , Wim van Ackooij , Stéphane Gaubert
Electric Power Systems Research, 2022, 206, pp.107774. ⟨10.1016/j.epsr.2022.107774⟩
Article dans une revue hal-03236238v3

Ambitropical geometry, hyperconvexity and zero-sum games

 Marianne Akian , Stéphane Gaubert , Sara Vannucci
2023
Pré-publication, Document de travail hal-03504873v1

An Adaptive Multi-Level Max-Plus Method for Deterministic Optimal Control Problems

 Marianne Akian , Stéphane Gaubert , Shanqing Liu
IFAC 2023 - The 22nd World Congress of the International Federation of Automatic Control, Jul 2023, Yokohama, Japan
Communication dans un congrès hal-04406978v1

Bundle-based pruning in the max-plus curse of dimensionality free method

 Stéphane Gaubert , Zheng Qu , Srinivas Sridharan
Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems, Jul 2014, Groningen, Netherlands
Communication dans un congrès hal-01099175v1
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Exploration of the role of the virulence factor ElrA during Enterococcus faecalis cell infection

 Natalia Nunez , Aurélie Derré-Bobillot , Stéphane Gaubert , Jean-Marie Herry , Julien Deschamps , et al.
Scientific Reports, 2018, 8 (1), pp.1749. ⟨10.1038/s41598-018-20206-6⟩
Article dans une revue pasteur-02572353v1
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On rational series in one variable over certain dioids

 Stéphane Gaubert
[Research Report] RR-2162, INRIA. 1994
Rapport inria-00074510v1
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Rational Semimodules over the Max-Plus Semiring and Geometric Approach of Discrete Event Systems

 Stéphane Gaubert , Ricardo David Katz
[Research Report] RR-4519, INRIA. 2002
Rapport inria-00072069v1
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