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Akian, Marianne

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Author ID: akian.marianne Recent zbMATH articles by "Akian, Marianne"
Published as: Akian, Marianne; Akian, M.
External Links: MGP
Documents Indexed: 47 Publications since 1988, including 1 Book

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 490 times in 360 Documents Cited by Year
Linear independence over tropical semirings and beyond. Zbl 1182.15002
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
59
2009
Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
57
2012
On an investment-consumption model with transaction costs. Zbl 1035.91505
Akian, Marianne; Menaldi, José Luis; Sulem, Agnès
49
1996
Densities of idempotent measures and large deviations. Zbl 0934.28005
Akian, Marianne
34
1999
Dynamic optimization of long-term growth rate for a portfolio with transaction costs and logarithmic utility. Zbl 1055.91016
Akian, Marianne; Sulem, Agnès; Taksar, Michael I.
26
2001
Spectral theorem for convex monotone homogeneous maps, and ergodic control. Zbl 1030.47048
Akian, Marianne; Gaubert, Stéphane
26
2003
Asymptotics of the Perron eigenvalue and eigenvector using max-algebra. Zbl 0922.15001
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
23
1998
The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis. Zbl 1157.49034
Akian, Marianne; Gaubert, Stéphane; Lakhoua, Asma
19
2008
Iteration of order preserving subhomogeneous maps on a cone. Zbl 1101.37032
Akian, Marianne; Gaubert, Stéphane; Lemmens, Bas; Nussbaum, Roger
16
2006
The max-plus Martin boundary. Zbl 1182.31017
Akian, Marianne; Gaubert, Stéphane; Walsh, Cormac
14
2009
Discrete max-plus spectral theory. Zbl 1104.47055
Akian, Marianne; Gaubert, Stéphane; Walsh, Cormac
13
2005
Bellman processes. Zbl 0826.49021
Akian, Marianne; Quadrat, Jean-Pierre; Viot, Michel
13
1994
Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014
Akian, Marianne; Singer, Ivan
12
2003
Tropical Cramer determinants revisited. Zbl 1320.14074
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
11
2014
Best approximation in max-plus semimodules. Zbl 1226.15016
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan
10
2011
Set coverings and invertibility of functional Galois connections. Zbl 1080.06001
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
10
2005
Control of delay systems with relay. Zbl 1008.93049
Akian, Marianne; Bliman, Pierre-Alexandre; Sorine, Michel
8
2002
Ergodicity conditions for zero-sum games. Zbl 1338.47073
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
8
2015
Min-Plus linearity and statistical mechanics. Zbl 0905.90174
Quadrat, J. P.; Akian, M.; Cohen, G.; Gaubert, S.; McGettrick, M.; Viot, M.
7
1997
Perturbation of eigenvalues of matrix pencils and the optimal assignment problem. Zbl 1050.15006
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
7
2004
Tropical bounds for eigenvalues of matrices. Zbl 1297.14063
Akian, Marianne; Gaubert, Stéphane; Marchesini, Andrea
7
2014
Uniqueness of the fixed point of nonexpansive semidifferentiable maps. Zbl 1357.47056
Akian, Marianne; Gaubert, Stéphane; Nussbaum, Roger
7
2016
Duality between probability and optimization. Zbl 0906.60031
Akian, Marianne; Quadrat, Jean-Pierre; Viot, Michel
5
1998
Multi-asset portfolio selection problem with transaction costs. Zbl 0830.90006
Akian, Marianne; Menaldi, Jose Luis; Sulem, Agnès
5
1995
Ergodic control and polyhedral approaches to PageRank optimization. Zbl 1369.90142
Fercoq, Olivier; Akian, Marianne; Bouhtou, Mustapha; Gaubert, Stephane
5
2013
Non-archimedean valuations of eigenvalues of matrix polynomials. Zbl 1341.15005
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
5
2016
Stability and convergence in discrete convex monotone dynamical systems. Zbl 1228.37021
Akian, Marianne; Gaubert, Stéphane; Lemmens, Bas
4
2011
Invertibility of functional Galois connections. Zbl 1022.06001
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
4
2002
The operator approach to entropy games. Zbl 1422.91080
Akian, Marianne; Gaubert, Stéphane; Grand-Clément, Julien; Guillaud, Jérémie
3
2019
Analyse de l’algorithme multigrille FMGH de résolution d’équations d’Hamilton-Jacobi-Bellman. (Analysis of the FMGH multigrid algorithm for the solution of the Hamilton-Jacobi-Bellman equations.). Zbl 0712.93069
Akian, Marianne
3
1990
Multigrid methods for two-player zero-sum stochastic games. Zbl 1274.91059
Akian, Marianne; Detournay, Sylvie
2
2012
On super-high frequencies in discontinuous 1st-order delay-differential equations. Zbl 1025.34067
Akian, M.; Bliman, P.-A.
2
2000
Instability of rapidly-oscillating periodic solutions for discontinuous differential delay equations. Zbl 1021.34055
Akian, Marianne; Bismuth, Sophie
2
2002
Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots. Zbl 1428.15009
Akian, Marianne; Gaubert, Stéphane; Sharify, Meisam
2
2017
Generic uniqueness of the bias vector of finite zero-sum stochastic games with perfect information. Zbl 1415.91035
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
2
2018
Minimax representation of nonexpansive functions and application to zero-sum recursive games. Zbl 1386.49009
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
2
2018
The operator approach to entropy games. Zbl 1402.91017
Akian, Marianne; Gaubert, Stéphane; Grand-Clément, Julien; Guillaud, Jérémie
2
2017
Résolution numérique d’équations d’Hamilton-Jacobi-Bellman au moyen d’algorithmes multigrilles et d’itérations sur les politiques. (Numerical solution of Hamilton-Jacobi-Bellman equations by means of multigrid algorithms and policies iterations). Zbl 0682.65077
Akian, Marianne
2
1988
The optimal assignment problem for a countable state space. Zbl 1179.90205
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
1
2009
Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations. Zbl 1415.65240
Akian, Marianne; Fodjo, Eric
1
2018
Tropical compound matrix identities. Zbl 1415.15012
Akian, Marianne; Gaubert, Stéphane; Niv, Adi
1
2018
A representation theorem for the viscosity solutions of a degenerate ergodic Hamilton-Jacobi-Bellman equation on the torus. (Un théorème de représentation des solutions de viscosité d’une équation d’hamilton-Jacobi-bellman ergodique dégénérée sur le tore.) Zbl 1149.93036
Akian, Marianne; David, Benoît; Gaubert, Stéphane
1
2008
The operator approach to entropy games. Zbl 1422.91080
Akian, Marianne; Gaubert, Stéphane; Grand-Clément, Julien; Guillaud, Jérémie
3
2019
Generic uniqueness of the bias vector of finite zero-sum stochastic games with perfect information. Zbl 1415.91035
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
2
2018
Minimax representation of nonexpansive functions and application to zero-sum recursive games. Zbl 1386.49009
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
2
2018
Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations. Zbl 1415.65240
Akian, Marianne; Fodjo, Eric
1
2018
Tropical compound matrix identities. Zbl 1415.15012
Akian, Marianne; Gaubert, Stéphane; Niv, Adi
1
2018
Log-majorization of the moduli of the eigenvalues of a matrix polynomial by tropical roots. Zbl 1428.15009
Akian, Marianne; Gaubert, Stéphane; Sharify, Meisam
2
2017
The operator approach to entropy games. Zbl 1402.91017
Akian, Marianne; Gaubert, Stéphane; Grand-Clément, Julien; Guillaud, Jérémie
2
2017
Uniqueness of the fixed point of nonexpansive semidifferentiable maps. Zbl 1357.47056
Akian, Marianne; Gaubert, Stéphane; Nussbaum, Roger
7
2016
Non-archimedean valuations of eigenvalues of matrix polynomials. Zbl 1341.15005
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
5
2016
Ergodicity conditions for zero-sum games. Zbl 1338.47073
Akian, Marianne; Gaubert, Stéphane; Hochart, Antoine
8
2015
Tropical Cramer determinants revisited. Zbl 1320.14074
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
11
2014
Tropical bounds for eigenvalues of matrices. Zbl 1297.14063
Akian, Marianne; Gaubert, Stéphane; Marchesini, Andrea
7
2014
Ergodic control and polyhedral approaches to PageRank optimization. Zbl 1369.90142
Fercoq, Olivier; Akian, Marianne; Bouhtou, Mustapha; Gaubert, Stephane
5
2013
Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
57
2012
Multigrid methods for two-player zero-sum stochastic games. Zbl 1274.91059
Akian, Marianne; Detournay, Sylvie
2
2012
Best approximation in max-plus semimodules. Zbl 1226.15016
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan
10
2011
Stability and convergence in discrete convex monotone dynamical systems. Zbl 1228.37021
Akian, Marianne; Gaubert, Stéphane; Lemmens, Bas
4
2011
Linear independence over tropical semirings and beyond. Zbl 1182.15002
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
59
2009
The max-plus Martin boundary. Zbl 1182.31017
Akian, Marianne; Gaubert, Stéphane; Walsh, Cormac
14
2009
The optimal assignment problem for a countable state space. Zbl 1179.90205
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
1
2009
The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis. Zbl 1157.49034
Akian, Marianne; Gaubert, Stéphane; Lakhoua, Asma
19
2008
A representation theorem for the viscosity solutions of a degenerate ergodic Hamilton-Jacobi-Bellman equation on the torus. (Un théorème de représentation des solutions de viscosité d’une équation d’hamilton-Jacobi-bellman ergodique dégénérée sur le tore.) Zbl 1149.93036
Akian, Marianne; David, Benoît; Gaubert, Stéphane
1
2008
Iteration of order preserving subhomogeneous maps on a cone. Zbl 1101.37032
Akian, Marianne; Gaubert, Stéphane; Lemmens, Bas; Nussbaum, Roger
16
2006
Discrete max-plus spectral theory. Zbl 1104.47055
Akian, Marianne; Gaubert, Stéphane; Walsh, Cormac
13
2005
Set coverings and invertibility of functional Galois connections. Zbl 1080.06001
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
10
2005
Perturbation of eigenvalues of matrix pencils and the optimal assignment problem. Zbl 1050.15006
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
7
2004
Spectral theorem for convex monotone homogeneous maps, and ergodic control. Zbl 1030.47048
Akian, Marianne; Gaubert, Stéphane
26
2003
Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau. Zbl 1049.06014
Akian, Marianne; Singer, Ivan
12
2003
Control of delay systems with relay. Zbl 1008.93049
Akian, Marianne; Bliman, Pierre-Alexandre; Sorine, Michel
8
2002
Invertibility of functional Galois connections. Zbl 1022.06001
Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili
4
2002
Instability of rapidly-oscillating periodic solutions for discontinuous differential delay equations. Zbl 1021.34055
Akian, Marianne; Bismuth, Sophie
2
2002
Dynamic optimization of long-term growth rate for a portfolio with transaction costs and logarithmic utility. Zbl 1055.91016
Akian, Marianne; Sulem, Agnès; Taksar, Michael I.
26
2001
On super-high frequencies in discontinuous 1st-order delay-differential equations. Zbl 1025.34067
Akian, M.; Bliman, P.-A.
2
2000
Densities of idempotent measures and large deviations. Zbl 0934.28005
Akian, Marianne
34
1999
Asymptotics of the Perron eigenvalue and eigenvector using max-algebra. Zbl 0922.15001
Akian, Marianne; Bapat, Ravindra; Gaubert, Stéphane
23
1998
Duality between probability and optimization. Zbl 0906.60031
Akian, Marianne; Quadrat, Jean-Pierre; Viot, Michel
5
1998
Min-Plus linearity and statistical mechanics. Zbl 0905.90174
Quadrat, J. P.; Akian, M.; Cohen, G.; Gaubert, S.; McGettrick, M.; Viot, M.
7
1997
On an investment-consumption model with transaction costs. Zbl 1035.91505
Akian, Marianne; Menaldi, José Luis; Sulem, Agnès
49
1996
Multi-asset portfolio selection problem with transaction costs. Zbl 0830.90006
Akian, Marianne; Menaldi, Jose Luis; Sulem, Agnès
5
1995
Bellman processes. Zbl 0826.49021
Akian, Marianne; Quadrat, Jean-Pierre; Viot, Michel
13
1994
Analyse de l’algorithme multigrille FMGH de résolution d’équations d’Hamilton-Jacobi-Bellman. (Analysis of the FMGH multigrid algorithm for the solution of the Hamilton-Jacobi-Bellman equations.). Zbl 0712.93069
Akian, Marianne
3
1990
Résolution numérique d’équations d’Hamilton-Jacobi-Bellman au moyen d’algorithmes multigrilles et d’itérations sur les politiques. (Numerical solution of Hamilton-Jacobi-Bellman equations by means of multigrid algorithms and policies iterations). Zbl 0682.65077
Akian, Marianne
2
1988
all top 5

Cited by 435 Authors

46 Gaubert, Stéphane
18 Akian, Marianne
18 Shitov, Yaroslav Nikolaevich
13 Rowen, Louis Halle
12 Allamigeon, Xavier
10 Izhakian, Zur
9 Katz, Ricardo David
8 Sergeev, Sergeĭ Mikhaĭlovich
7 Butkovič, Peter
7 Grigor’ev, Dmitriĭ Yur’evich
6 de la Puente, Maria Jesus
6 Lemmens, Bas
6 Lins, Brian
6 McEneaney, William M.
5 Guterman, Alexander Èmilevich
5 Hochart, Antoine
5 Niv, Adi
5 Nussbaum, Roger David
5 Nykyforchyn, Oleh R.
5 Singer, Ivan
4 Cavazos-Cadena, Rolando
4 Dower, Peter M.
4 Duits, Remco
4 Joswig, Michael
4 Knebusch, Manfred
4 Merlet, Glenn
4 Peperko, Aljoša
4 Sass, Jörn
4 Schneider, Hans
4 Zarichnyi, Michael Mikhailovich
3 Draviam, Thangaraj
3 Guasoni, Paolo
3 Hook, James G.
3 Johnson, Marianne
3 Kaise, Hidehiro
3 Kambites, Mark
3 Kunisch, Karl
3 Loho, Georg
3 Maccaig, Marie
3 Müller, Vladimír
3 Niţică, Viorel
3 Nowak, Thomas
3 Podol’skiĭ, Vladimir Vladimirovich
3 Radul, Taras Mykolaovych
3 Skomra, Mateusz
3 Truffet, Laurent
3 Walsh, Cormac
3 Yoshida, Ruriko
2 Ait Mansour, Mohamed
2 Amiraslani, Amirhossein
2 Atkinson, Colin
2 Bekkers, Erik J.
2 Benchimol, Pascal
2 Bodirsky, Manuel
2 Brydun, Viktoriya
2 Chan, Melody
2 Chellathurai, Thamayanthi
2 Cui, Xiaojun
2 Cvetković, Aleksandar S.
2 Dai, Min
2 Dostál, Petr
2 Fleming, Wendell Helms
2 Ghalandarzadeh, Shaban
2 Goubault, Eric
2 Hernández-Hernández, Daniel
2 Irle, Albrecht
2 Jamshidvand, Sedighe
2 Jones, Daniel C.
2 Kalise, Dante
2 Kolokoltsov, Vassili N.
2 Krivulin, Nikolai K.
2 Lawson, Jimmie Don
2 Lin, Bo
2 Liu, Hong
2 Magron, Victor
2 Mamino, Marcello
2 Mashtakov, Alexey P.
2 Maslov, Viktor Pavlovich
2 Mohebi, Hossein
2 Muhle-Karbe, Johannes
2 Muthuraman, Kumar
2 Olia, Fateme
2 Pereira, Rajesh
2 Piunovskiĭ, Alekseĭ Borisovich
2 Poncet, Paul
2 Popovici, Nicolae
2 Repovš, Dušan D.
2 Sanguinetti, G. R.
2 Sheu, Shuenn-Jyi
2 Sparrow, Colin T.
2 Stettner, Łukasz
2 Sulem, Agnès
2 Théra, Michel A.
2 Tran, Ngoc Mai
2 Vigeral, Guillaume
2 Werner, Benjamin
2 Yang, Lin
2 Yi, Fahuai
2 Zhang, Huan
1 Acosta, Pedro R.
...and 335 more Authors
all top 5

Cited in 163 Serials

47 Linear Algebra and its Applications
8 Automatica
8 Transactions of the American Mathematical Society
7 Journal of Algebra
7 Mathematical Finance
6 International Journal of Theoretical and Applied Finance
5 Applied Mathematics and Optimization
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Proceedings of the American Mathematical Society
5 SIAM Journal on Matrix Analysis and Applications
5 Finance and Stochastics
4 Israel Journal of Mathematics
4 Journal of Mathematical Analysis and Applications
4 Linear and Multilinear Algebra
4 Fuzzy Sets and Systems
4 Kybernetika
4 Semigroup Forum
4 Optimization
4 Journal of Symbolic Computation
4 Discrete & Computational Geometry
4 SIAM Journal on Discrete Mathematics
4 Journal of Mathematical Sciences (New York)
4 Discrete and Continuous Dynamical Systems
4 Quantitative Finance
3 Advances in Applied Probability
3 Discrete Applied Mathematics
3 Advances in Mathematics
3 Journal of Optimization Theory and Applications
3 SIAM Journal on Control and Optimization
3 Advances in Applied Mathematics
3 International Journal of Approximate Reasoning
3 Journal of Economic Dynamics & Control
3 Discrete Event Dynamic Systems
3 Applied Mathematical Finance
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Mathematical Biology
2 Journal of Statistical Physics
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physica A
2 Annales de l’Institut Fourier
2 Journal of Combinatorial Theory. Series A
2 Journal of Pure and Applied Algebra
2 Mathematics of Operations Research
2 Theoretical Computer Science
2 Systems & Control Letters
2 Order
2 MCSS. Mathematics of Control, Signals, and Systems
2 International Journal of Algebra and Computation
2 Stochastic Processes and their Applications
2 Journal of Mathematical Imaging and Vision
2 Computational Complexity
2 Journal of Algebraic Combinatorics
2 Applied Categorical Structures
2 St. Petersburg Mathematical Journal
2 Theory of Computing Systems
2 Positivity
2 Mathematical Methods of Operations Research
2 Discrete Dynamics in Nature and Society
2 Lobachevskii Journal of Mathematics
2 Mathematics and Financial Economics
2 Dynamic Games and Applications
2 Mathematical Control and Related Fields
2 Mathematical Sciences
2 Research in the Mathematical Sciences
1 ACM Computing Surveys
1 Communications in Algebra
1 International Journal of Control
1 Journal d’Analyse Mathématique
1 Moscow University Mathematics Bulletin
1 Physics Letters. A
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 The Annals of Probability
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 BIT
1 Calcolo
1 Geometriae Dedicata
1 Information Sciences
1 Journal of Applied Probability
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Economic Theory
1 Journal of Econometrics
1 Journal of Functional Analysis
1 Journal of Mathematical Economics
1 Mathematische Annalen
1 Numerical Functional Analysis and Optimization
1 Topology and its Applications
1 European Journal of Combinatorics
1 Insurance Mathematics & Economics
1 Combinatorica
1 Probability and Mathematical Statistics
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Information and Computation
1 Asia-Pacific Journal of Operational Research
...and 63 more Serials
all top 5

Cited in 44 Fields

103 Linear and multilinear algebra; matrix theory (15-XX)
88 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
60 Systems theory; control (93-XX)
54 Algebraic geometry (14-XX)
46 Operations research, mathematical programming (90-XX)
43 Calculus of variations and optimal control; optimization (49-XX)
41 Associative rings and algebras (16-XX)
38 Probability theory and stochastic processes (60-XX)
33 Operator theory (47-XX)
31 Computer science (68-XX)
28 Convex and discrete geometry (52-XX)
28 Numerical analysis (65-XX)
26 Order, lattices, ordered algebraic structures (06-XX)
23 Partial differential equations (35-XX)
19 Combinatorics (05-XX)
13 Field theory and polynomials (12-XX)
13 Measure and integration (28-XX)
13 Functional analysis (46-XX)
13 General topology (54-XX)
11 Group theory and generalizations (20-XX)
10 Ordinary differential equations (34-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Biology and other natural sciences (92-XX)
8 Category theory; homological algebra (18-XX)
8 Real functions (26-XX)
7 Commutative algebra (13-XX)
7 Differential geometry (53-XX)
6 Functions of a complex variable (30-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Mathematical logic and foundations (03-XX)
4 Number theory (11-XX)
4 Information and communication theory, circuits (94-XX)
3 General algebraic systems (08-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Statistics (62-XX)
2 Geometry (51-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year