eBook

Tropical and idempotent mathematics and applications : International Workshop Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia

International Workshop Tropical and Idempotent Mathematics, Sergeev, S. N., Litvinov, G. L. (Grigoriĭ Lazarevich)

2014

Overview

This volume contains the proceedings of the International Workshop on Tropical and Idempotent Mathematics, held at the Independent University of Moscow, Russia, from August 26-31, 2012. The main purpose of the conference was to bring together and unite researchers and specialists in various areas of tropical and idempotent mathematics and applications. This volume contains articles on algebraic foundations of tropical mathematics as well as articles on applications of tropical mathematics in various fields as diverse as economics, electroenergetic networks, chemical reactions, representation theory, and foundations of classical thermodynamics. This volume is intended for graduate students and researchers interested in tropical and idempotent mathematics or in their applications in other areas of mathematics and in technical sciences.

• Publisher: American Mathematical Society
• Subject: Algebraic geometry -- Tropical geometry -- Tropical geometry. msc / Associative rings and algebras -- Generalizations -- Semirings. msc / Biology and other natural sciences -- Physiological, cellular and medical topics -- Systems biology, networks. msc / Combinatorics -- Graph theory -- Directed graphs (digraphs), tournaments. msc / Convex and discrete geometry -- General convexity -- Variants of convex sets (star-shaped, ($m, n$)-convex, etc.). msc / Geometry, Algebraic / Geometry, Algebraic -- Congresses / Idempotents / Idempotents -- Congresses / Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Max-plus and related algebras. msc / Numerical analysis -- Nonlinear algebraic or transcendental equations -- Global methods, including homotopy approaches. msc / Operations research, mathematical programming -- Mathematical programming -- Programming in abstract spaces. msc / Partial differential equations -- General first-order equations and systems -- Hamilton-Jacobi equations. msc / Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Statistical thermodynamics. msc / Tropical geometry / Tropical geometry -- Congresses
• ISBN: 9780821894965, 082189496X