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Tropical and Idempotent Mathematics and Applications
About this Title
G. L. Litvinov, Independent University of Moscow, Moscow, Russia and S. N. Sergeev, University of Birmingham, Birmingham, United Kingdom, Editors
Publication: Contemporary Mathematics
Publication Year:
2014; Volume 616
ISBNs: 978-0-8218-9496-5 (print); 978-1-4704-1684-3 (online)
DOI: https://doi.org/10.1090/conm/616
Table of Contents
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Front/Back Matter
Articles
- Marianne Akian, Stéphane Gaubert and Alexander Guterman – Tropical Cramer determinants revisited
- Antonio Avantaggiati and Paola Loreti – An approximation of Hopf-Lax type formula via idempotent analysis
- L. P. Belluce, A. Di Nola and A. R. Ferraioli – Ideals of MV-semirings and MV-algebras
- V. I. Danilov, A. V. Karzanov and G. A. Koshevoy – Tropical Plücker functions and Kashiwara crystals
- Jonathan Eskeldson, Miriam Jaffe and Viorel Nitica – A metric on max-min algebra
- Martin Gavalec and Karel Zimmermann – Optimization on the range of a max-separable operator
- Zur Izhakian, Manfred Knebusch and Louis Rowen – Algebraic structures of tropical mathematics
- B. Kh. Kirshtein – Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks
- Nikolai Krivulin – A constrained tropical optimization problem: Complete solution and application example
- Viktor P. Maslov – On the mathematical foundations of classical thermodynamics
- Vladimir Matveenko – Tropical support sets in analysis of weak links and complementarity
- Dmitry Nikolayev – Idempotent algebra models of single-agent and multi-agent dynamics
- Viorel Nitica and Sergeĭ Sergeev – Tropical convexity over max-min semiring
- Vincent Noel, Dima Grigoriev, Sergei Vakulenko and Ovidiu Radulescu – Tropicalization and tropical equilibration of chemical reactions
- Thomas Nowak and Bernadette Charron-Bost – An overview of transience bounds in max-plus algebra
- Edouard Wagneur – Strong independence and injectivity in tropical modules