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Tropical and idempotent mathematics and applications. Proceedings of the international workshop on tropical and idempotent mathematics, Independent University of Moscow, Russia, August 26–31, 2012. (English) Zbl 1291.00065

Contemporary Mathematics 616. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9496-5/pbk; 978-1-4704-1684-3/ebook). xii, 300 p. (2014).

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The articles of this volume will be reviewed individually.
Indexed articles:
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander, Tropical Cramer determinants revisited, 1-45 [Zbl 1320.14074]
Avantaggiati, Antonio; Loreti, Paola, An approximation of Hopf-Lax type formula via idempotent analysis, 47-58 [Zbl 1320.35156]
Belluce, L. P.; Di Nola, A.; Ferraioli, A. R., Ideals of MV-semirings and MV-algebras., 59-75 [Zbl 1328.06010]
Danilov, V. I.; Karzanov, A. V.; Koshevoy, G. A., Tropical Plücker functions and Kashiwara crystals, 77-99 [Zbl 1320.17009]
In memory of Grigory Litvinov, ix-xii [Zbl 1320.01020]
Eskeldson, Jonathan; Jaffe, Miriam; Nitica, Viorel, A metric on max-min algebra, 101-114 [Zbl 1320.15021]
Gavalec, Martin; Zimmermann, Karel, Optimization on the range of a max-separable operator, 115-123 [Zbl 1368.15023]
Izhakian, Zur; Knebusch, Manfred; Rowen, Louis, Algebraic structures of tropical mathematics, 125-150 [Zbl 1320.15022]
Kirshtein, B. Kh., Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks, 151-162 [Zbl 1320.94118]
Krivulin, Nikolai, A constrained tropical optimization problem: complete solution and application example, 163-177 [Zbl 1320.65101]
Maslov, Viktor P., On the mathematical foundations of classical thermodynamics, 179-209 [Zbl 1320.82024]
Matveenko, Vladimir, Tropical support sets in analysis of weak links and complementarity, 211-220 [Zbl 1320.91100]
Nikolayev, Dmitry, Idempotent algebra models of single-agent and multi-agent dynamics, 221-240 [Zbl 1320.37007]
Nitica, Viorel; Sergeev, Sergeĭ, Tropical convexity over max-min semiring, 241-260 [Zbl 1320.52002]
Noel, Vincent; Grigoriev, Dima; Vakulenko, Sergei; Radulescu, Ovidiu, Tropicalization and tropical equilibration of chemical reactions, 261-275 [Zbl 1320.92091]
Nowak, Thomas; Charron-Bost, Bernadette, An overview of transience bounds in max-plus algebra, 277-289 [Zbl 1320.15023]
Wagneur, Edouard, Strong independence and injectivity in tropical modules, 291-300 [Zbl 1320.15024]

MSC:

00B25 Proceedings of conferences of miscellaneous specific interest
14-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
15-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra
16-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to associative rings and algebras
52-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to convex and discrete geometry
06-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordered structures
14T05 Tropical geometry (MSC2010)
15A80 Max-plus and related algebras
16Y60 Semirings
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
52A01 Axiomatic and generalized convexity
82B30 Statistical thermodynamics
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