Tropical and idempotent mathematics and applications : International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia / [electronic resource] G.L. Litvinov, S.N. Sergeev, editors. - 1 online resource (xii, 300 pages : illustrations) - Contemporary mathematics, v. 616 0271-4132 (print); 1098-3627 (online); .

Includes bibliographical references.

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

Access is restricted to licensed institutions


Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2014


Mode of access : World Wide Web

9781470416843 (online)


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 thermodynamics.

QA582 / .I58 2014

516.3/5