Tropical and idempotent mathematics: International Workshop Tropical-07, August 25-30, 2007, Independent University of Moscow and French-Russian Laboratory J.-V.Poncelet / ed. by G.L.Litvinov, S.N.Sergeev. - Providence: American Mathematical Society, 2009. - ix, 382 p. - (Contemporary mathematics; vol.495). - Incl. bibl. ref. - ISBN 978-0-8218-4782-4  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Preface: The Maslov Dequantization and Tropical Mathematics ... vii Linear Independence over Tropical Semirings and Beyond M. Akian, S. Gaubert, and A. Guterman ........................ 1 The Optimal Assignment Problem for a Countable State Space M. Akian, S. Gaubert, and V. Kolokoltsov .................... 39 Dequantization of Real Convex Projective Manifolds D. Alessandrini ............................................. 61 Tropical Conies for the Layman M. Ansola and M. J. de la Puente ............................ 87 Idempotent Aspects of Hopf-Lax Type Formulas A. Avantaggiati and P. Loreti .............................. 103 On Some Properties of the Image Set of a Max-linear Mapping P. Butkovič and К.P. Таm ................................... 115 Tropical Plucker Functions and Their Bases V.I. Danilov, A.V. Karzanov, and G.A. Koshevoy ............. 127 A Class of Periodic Minplus Homogeneous Dynamical Systems N. Farhi ................................................... 159 Basics of Linear Algebra over the Extended Tropical Semiring Z. Izhakian ................................................ 173 Tropical Convex Hull Computations M. Joswig .................................................. 193 Complex Roots of Systems of Tropical Equations and Stability of Electrical Power Networks B. Кh. Kirshtein ........................................... 213 Dequantization, Statistical Mechanics and Econophysics V. Maslov .................................................. 239 Graph Selectors and the Max-Plus Finite Element Method D. McCaffrey ............................................... 281 Complexity Reduction, Cornices and Pruning W.M. McEneaney ............................................. 293 Tropical Analysis of Plurisubharmonic Singularities A. Rashkovskii ............................................. 305 Multiorder, Kleene Stars and Cyclic Projectors in the Geometry of Max Cones S. Sergeev ................................................. 317 A Tropical Version of the Schauder Fixed Point Theorem G.B. Shpiz and G.L. Litvinov ............................... 343 Tropical Cones Defined by Max-linear Inequalities E. Wagneur, L. Truffet, F. Faye, and M. Thiam .............. 351 Minimum Representing Measures in Idempotent Analysis C. Walsh ................................................... 367