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Tropical and idempotent mathematics and applications : [electronic resource] International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / G.L. Litvinov, S.N. Sergeev, editors.

By: International Workshop on Tropical and Idempotent Mathematics (2012 : Moscow, Russia)Contributor(s): Litvinov, G. L. (Grigori�i Lazarevich), 1944- [editor of compilation.] | Sergeev, S. N, 1981- [editor of compilation.]Material type: Text

TextSeries: Contemporary mathematics ; v. 616Publisher: Providence, Rhode Island : American Mathematical Society, [2014]Copyright date: �2014Description: 1 online resource (xii, 300 pages : illustrations)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470416843 (online)Subject(s): Tropical geometry -- Congresses | Geometry, Algebraic -- Congresses | Idempotents -- Congresses | 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 | Operations research, mathematical programming -- Mathematical programming -- Programming in abstract spaces | Numerical analysis -- Nonlinear algebraic or transcendental equations -- Global methods, including homotopy approaches | Biology and other natural sciences -- Physiological, cellular and medical topics -- Systems biology, networks | Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Statistical thermodynamicsAdditional physical formats: Tropical and idempotent mathematics and applications :DDC classification: 516.3/5 LOC classification: QA582 | .I58 2014Other classification: 15A80 | 16Y60 | 05C20 | 14T05 | 52A30 | 35F21 | 90C48 | 65H20 | 92C42 | 82B30 Online resources: Contents | Contents

Contents:

Tropical Cramer determinants revisited / Marianne Akian, St�ephane Gaubert and Alexander Guterman -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12324 An approximation of Hopf-Lax type formula via idempotent analysis / Antonio Avantaggiati and Paola Loreti -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12314 Ideals of MV-semirings and MV-algebras / L. P. Belluce, A. Di Nola and A. R. Ferraioli -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12305 Tropical Pl�ucker functions and Kashiwara crystals / V. I. Danilov, A. V. Karzanov and G. A. Koshevoy -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12309 A metric on max-min algebra / Jonathan Eskeldson, Miriam Jaffe and Viorel Nitica -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12300 Optimization on the range of a max-separable operator / Martin Gavalec and Karel Zimmermann -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12307 Algebraic structures of tropical mathematics / Zur Izhakian, Manfred Knebusch and Louis Rowen -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12312 Parametric dequantization, tropical reduction of hyperfields and steady states of AC electrical networks / B. Kh. Kirshtein -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12310 A constrained tropical optimization problem: Complete solution and application example / Nikolai Krivulin -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12308 On the mathematical foundations of classical thermodynamics / Viktor P. Maslov -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12340 Tropical support sets in analysis of weak links and complementarity / Vladimir Matveenko -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12315 Idempotent algebra models of single-agent and multi-agent dynamics / Dmitry Nikolayev -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12313 Tropical convexity over max-min semiring / Viorel Nitica and Serge�i Sergeev -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12301 Tropicalization and tropical equilibration of chemical reactions / Vincent Noel, Dima Grigoriev, Sergei Vakulenko and Ovidiu Radulescu -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12316 An overview of transience bounds in max-plus algebra / Thomas Nowak and Bernadette Charron-Bost -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12306 Strong independence and injectivity in tropical modules / Edouard Wagneur -- http://www.ams.org/conm/616/ http://dx.doi.org/10.1090/conm/616/12328

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Includes bibliographical references.

Tropical Cramer determinants revisited / Marianne Akian, St�ephane 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 Pl�ucker 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 Serge�i 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 --