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Author International Workshop on Tropical and Idempotent Mathematics (2012 : Moscow, Russia)

Title Tropical and idempotent mathematics and applications : International Workshop Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / G.L. Litvinov, S.N. Sergeev, editors
Published Providence, Rhode Island : American Mathematical Society, [2014]


Description 1 online resource (xii, 300 pages) : illustrations (some color)
Series Contemporary mathematics ; 616
Contemporary mathematics (American Mathematical Society) ; v. 616.
Contents Tropical Cramer determinants revisited / Marianne Akian, Stéphane Gaubert and Alexander Guterman --'>'>'>'>'>'>'>'>'>'>'>'>'>'>'> An approximation of Hopf-Lax type formula via idempotent analysis / Antonio Avantaggiati and Paola Loreti -- Ideals of MV-semirings and MV-algebras / L. P. Belluce, A. Di Nola and A. R. Ferraioli -- Tropical Plücker functions and Kashiwara crystals / V. I. Danilov, A. V. Karzanov and G. A. Koshevoy -- A metric on max-min algebra / Jonathan Eskeldson, Miriam Jaffe and Viorel Nitica -- Optimization on the range of a max-separable operator / Martin Gavalec and Karel Zimmermann -- Algebraic structures of tropical mathematics / Zur Izhakian, Manfred Knebusch and Louis Rowen -- Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks / B. Kh. Kirshtein -- A constrained tropical optimization problem: Complete solution and application example / Nikolai Krivulin -- On the mathematical foundations of classical thermodynamics / Viktor P. Maslov -- Tropical support sets in analysis of weak links and complementarity / Vladimir Matveenko -- Idempotent algebra models of single-agent and multi-agent dynamics / Dmitry Nikolayev -- Tropical convexity over max-min semiring / Viorel Nitica and Sergeĭ Sergeev -- Tropicalization and tropical equilibration of chemical reactions / Vincent Noel, Dima Grigoriev, Sergei Vakulenko and Ovidiu Radulescu -- An overview of transience bounds in max-plus algebra / Thomas Nowak and Bernadette Charron-Bost -- Strong independence and injectivity in tropical modules / Edouard Wagneur --
Bibliography Includes bibliographical references
Notes Print version record
Subject Tropical geometry -- Congresses
Geometry, Algebraic -- Congresses
Idempotents -- Congresses
Geometry, Algebraic.
Tropical geometry.
Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Max-plus and related algebras.
Associative rings and algebras -- Generalizations -- Semirings.
Combinatorics -- Graph theory -- Directed graphs (digraphs), tournaments.
Algebraic geometry -- Tropical geometry -- Tropical geometry.
Convex and discrete geometry -- General convexity -- Variants of convex sets (star-shaped, ($m, n$)-convex, etc.)
Partial differential equations -- General first-order equations and systems -- Hamilton-Jacobi equations.
Numerical analysis -- Nonlinear algebraic or transcendental equations -- Global methods, including homotopy approaches.
Operations research, mathematical programming -- Mathematical programming -- Programming in abstract spaces.
Biology and other natural sciences -- Physiological, cellular and medical topics -- Systems biology, networks.
Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Statistical thermodynamics.
Genre/Form Conference papers and proceedings.
Form Electronic book
Author Litvinov, G. L. (Grigoriĭ Lazarevich), 1944- editor.
Sergeev, S. N., 1981- editor, author.
ISBN 9781470416843