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Idempotent Mathematics and Mathematical Physics
About this Title
G. L. Litvinov and V. P. Maslov, Editors
Publication: Contemporary Mathematics
Publication Year:
2005; Volume 377
ISBNs: 978-0-8218-3538-8 (print); 978-0-8218-7967-2 (online)
DOI: https://doi.org/10.1090/conm/377
MathSciNet review: 2145152
ReadershipTable of Contents
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Front/Back Matter
Articles
- G. L. Litvinov – The Maslov Dequantization, idempotent and tropical mathematics: a very brief introduction
- Marianne Akian, Stéphane Gaubert and Vassili Kolokoltsov – Set coverings and invertibility of functional Galois connections [MR 2148996]
- Marianne Akian, Stéphane Gaubert and Cormac Walsh – Discrete max-plus spectral theory [MR 2148997]
- Ali Baklouti – Dequantization of coadjoint orbits: moment sets and characteristic varieties [MR 2148998]
- Peter Butkovič – On the combinatorial aspects of max-algebra [MR 2148999]
- Guy Cohen, Stéphane Gaubert, Jean-Pierre Quadrat and Ivan Singer – Max-plus convex sets and functions [MR 2149000]
- A. Di Nola and B. Gerla – Algebras of Lukasiewicz’s logic and their semiring reducts [MR 2149001]
- Wendell H. Fleming and William M. McEneaney – Max-plus approaches to continuous space control and dynamic programming [MR 2149002]
- K. Khanin, D. Khmelev and A. Sobolevskiĭ – A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain [MR 2149003]
- G. L. Litvinov and G. B. Shpiz – The dequantization transform and generalized Newton polytopes [MR 2149004]
- Paola Loreti and Marco Pedicini – An object-oriented approach to idempotent analysis: integral equations as optimal control problems [MR 2149005]
- P. Lotito, J.-P. Quadrat and E. Mancinelli – Traffic assignment & Gibbs-Maslov semirings [MR 2149006]
- D. McCaffrey – Viscosity solutions on Lagrangian manifolds and connections with tunnelling operators [MR 2149007]
- Endre Pap – Applications of the generated pseudo-analysis to nonlinear partial differential equations [MR 2149008]
- Endre Pap – A generalization of the utility theory using a hybrid idempotent-probabilistic measure [MR 2149009]
- Mikael Passare and August Tsikh – Amoebas: their spines and their contours [MR 2149010]
- Jürgen Richter-Gebert, Bernd Sturmfels and Thorsten Theobald – First steps in tropical geometry [MR 2149011]
- Ilya V. Roublev – On minimax and idempotent generalized weak solutions to the Hamilton-Jacobi equation [MR 2149012]
- Edouard Wagneur – Dequantisation: semi-direct sums of idempotent semimodules [MR 2149013]
- Jacob van der Woude and Geert Jan Olsder – On $(\min ,\max ,+)$-inequalities [MR 2149014]
- Karel Zimmermann – Solution of some max-separable optimization problems with inequality constraints [MR 2149015]