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Idempotent Mathematics and Mathematical Physics

G.L. Litvinov, V.P. Maslov, editors
American Mathematical Society
Publication Date: 
Number of Pages: 
Contemporary Mathematics 377
We do not plan to review this book.
* G. L. Litvinov -- The Maslov's dequantization, idempotent and tropical mathematics: A very brief introduction
* M. Akian, S. Gaubert, and V. Kolokoltsov -- Set coverings and invertibility of functional Galois connections
* M. Akian, S. Gaubert, and C. Walsh -- Discrete max-plus spectral theory
* A. Baklouti -- Dequantization of coadjoint orbits: Moment sets and characteristic varieties
* P. Butkovic -- On the combinatorial aspects of max-algebra
* G. Cohen, S. Gaubert, J.-P. Quadrat, and I. Singer -- Max-plus convex sets and functions
* A. Di Nola and B. Gerla -- Algebras of Lukasiewicz's logic and their semiring reducts
* W. H. Fleming and W. M. McEneaney -- Max-plus approaches to continuous space control and dynamic programming
* K. Khanin, D. Khmelev, and A. Sobolevskii -- A blow-up phenomenon in the Hamilton-Jacobi equation in an unbounded domain
* G. L. Litvinov and G. B. Shpiz -- The dequantization transform and generalized Newton polytopes
* P. Loreti and M. Pedicini -- An object-oriented approach to idempotent analysis: Integral equations as optimal control problems
* P. Lotito, J.-P. Quadrat, and E. Mancinelli -- Traffic assignment & Gibbs-Maslov semirings
* D. McCaffrey -- Viscosity solutions on Lagrangian manifolds and connections with tunnelling operators
* E. Pap -- Applications of the generated pseudo-analysis to nonlinear partial differential equations
* E. Pap -- A generalization of the utility theory using a hybrid idempotent-probabilistic measure
* M. Passare and A. Tsikh -- Amoebas: Their spines and their contours
* J. Richter-Gebert, B. Sturmfels, and T. Theobald -- First steps in tropical geometry
* I. V. Roublev -- On minimax and idempotent generalized weak solutions to the Hamilton-Jacobi equation
* E. Wagneur -- Dequantisation: Semi-direct sums of idempotent semimodules
* J. van der Woude and G. J. Olsder -- On (min,max,+)-inequalities
* K. Zimmermann -- Solution of some max-separable optimization problems with inequality constraints