Tropical and Idempotent Mathematics

by Litvinov, G. L.; Sergeev, S. N.

• ISBN13: 9780821847824
• ISBN10: 0821847821
• Format: Paperback
• Copyright: 2009-10-04
• Publisher: Amer Mathematical Society

Summary

Linear independence over tropical semirings and beyond by M. Akian, S. Gaubert, and A. Guterman The optimal assignment problem for a countable state space by M. Akian, S. Gaubert, and V. Kolokoltsov Dequantization of real convex projective manifolds by D. Alessandrini Tropical conics for the layman by M. Ansola and M. J. de la Puente Idempotent aspects of Hopf-Lax type formulas by A. Avantaggiati and P. Loreti On some properties of the image set of a max-linear mapping by P. Butkovic and K. P. Tam Tropical Plucker functions and their bases by V. I. Danilov, A. V. Karzanov, and G. A. Koshevoy A class of periodic minplus homogeneous dynamical systems by N. Farhi Basics of linear algebra over the extended tropical semiring by Z. Izhakian Tropical convex hull computations by M. Joswig Complex roots of systems of tropical equations and stability of electrical power networks by B. K. Kirshtein Dequantization, statistical mechanics and econophysics by V. Maslov Graph selectors and the max-plus finite element method by D. McCaffrey Complexity reduction, cornices and pruning by W. M. McEneaney Tropical analysis of plurisubharmonic singularities by A. Rashkovskii Multiorder, Kleene stars and cyclic projectors in the geometry of max cones by S. Sergeev A tropical version of the Schauder fixed point theorem by G. B. Shpiz and G. L. Litvinov Tropical cones defined by max-linear inequalities by E. Wagneur, L. Truffet, F. Faye, and M. Thiam Minimal representing measures in idempotent analysis by C. Walsh

Table of Contents

Linear independence over tropical semirings and beyond

The optimal assignment problem for a countable state space

Dequantization of real convex projective manifolds

Tropical conics for the layman

la Puente Idempotent aspects of Hopf-Lax type formulas

On some properties of the image set of a max-linear mapping

Tropical Plucker functions and their bases

A class of periodic minplus homogeneous dynamical systems

Basics of linear algebra over the extended tropical semiring

Tropical convex hull computations

Complex roots of systems of tropical equations and stability of electrical power networks

Dequantization, statistical mechanics and econophysics

Graph selectors and the max-plus finite element method

Complexity reduction, cornices and pruning

Tropical analysis of plurisubharmonic singularities

Multiorder, Kleene stars and cyclic projectors in the geometry of max cones

A tropical version of the Schauder fixed point theorem

Tropical cones defined by max-linear inequalities

Minimal representing measures in idempotent analysis

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