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.