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Tropical and idempotent mathematics : [electronic resource] International Workshop Tropical-07, Tropical and idempotent mathematics, August 25-30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet / G.L. Litvinov, S.N. Sergeev, editors.

By: International Workshop Tropical-07 (2007 : Moscow, Russia)Contributor(s): Litvinov, G. L. (Grigori�i Lazarevich), 1944- [edt] | Sergeev, S. N, 1981- [edt]Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 495.Publication details: Providence, R.I. : American Mathematical Society, c2009Description: 1 online resource (ix, 382 p. : ill.)ISBN: 9780821881743 (online)Subject(s): Idempotents -- Congresses | Tropical geometry -- Congresses | Mathematical physics -- CongressesAdditional physical formats: Tropical and idempotent mathematics :DDC classification: 516.3/5 LOC classification: QC20.7.I33 | I58 2007Online resources: Contents | Contents

Contents:

Linear independence over tropical semirings and beyond / Marianne Akian, St�ephane Gaubert and Alexander Guterman -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09689 The optimal assignment problem for a countable state space / Marianne Akian, St�ephane Gaubert and Vassili Kolokoltsov -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09690 Dequantization of real convex projective manifolds / Daniele Alessandrini -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09691 Tropical conics for the layman / M. Ansola and M. J. de la Puente -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09692 Idempotent aspects of Hopf-Lax type formulas / Antonio Avantaggiati and Paola Loreti -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09693 On some properties of the image set of a max-linear mapping / Peter Butkovi�c and Kin Po Tam -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09694 Tropical Pl�ucker functions and their bases / Vladimir I. Danilov, Alexander V. Karzanov and Gleb A. Koshevoy -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09695 A class of periodic minplus homogeneous dynamical systems / Nadir Farhi -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09696 Basics of linear algebra over the extended tropical semiring / Zur Izhakian -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09697 Tropical convex hull computations / Michael Joswig -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09698 Complex roots of systems of tropical equations and stability of electrical power networks / B. Kh. Kirshtein -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09699 Dequantization, statistical mechanics and econophysics / Victor Maslov -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09700 Graph selectors and the max-plus finite element method / D. McCaffrey -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09701 Complexity reduction, cornices and pruning / William M. McEneaney -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09702 Tropical analysis of plurisubharmonic singularities / Alexander Rashkovskii -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09703 Multiorder, Kleene stars and cyclic projectors in the geometry of max cones / Serge�i Sergeev -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09704 A tropical version of the Schauder fixed point theorem / G. B. Shpiz and G. L. Litvinov -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09705 Tropical cones defined by max-linear inequalities / Edouard Wagneur, Laurent Truffet, Farba Faye and Mamadou Thiam -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09706 Minimum representing measures in idempotent analysis / Cormac Walsh -- http://www.ams.org/conm/495/ http://dx.doi.org/10.1090/conm/495/09707

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Includes bibliographical references.

Linear independence over tropical semirings and beyond / Marianne Akian, St�ephane Gaubert and Alexander Guterman -- The optimal assignment problem for a countable state space / Marianne Akian, St�ephane Gaubert and Vassili Kolokoltsov -- Dequantization of real convex projective manifolds / Daniele Alessandrini -- Tropical conics for the layman / M. Ansola and M. J. de la Puente -- Idempotent aspects of Hopf-Lax type formulas / Antonio Avantaggiati and Paola Loreti -- On some properties of the image set of a max-linear mapping / Peter Butkovi�c and Kin Po Tam -- Tropical Pl�ucker functions and their bases / Vladimir I. Danilov, Alexander V. Karzanov and Gleb A. Koshevoy -- A class of periodic minplus homogeneous dynamical systems / Nadir Farhi -- Basics of linear algebra over the extended tropical semiring / Zur Izhakian -- Tropical convex hull computations / Michael Joswig -- Complex roots of systems of tropical equations and stability of electrical power networks / B. Kh. Kirshtein -- Dequantization, statistical mechanics and econophysics / Victor Maslov -- Graph selectors and the max-plus finite element method / D. McCaffrey -- Complexity reduction, cornices and pruning / William M. McEneaney -- Tropical analysis of plurisubharmonic singularities / Alexander Rashkovskii -- Multiorder, Kleene stars and cyclic projectors in the geometry of max cones / Serge�i Sergeev -- A tropical version of the Schauder fixed point theorem / G. B. Shpiz and G. L. Litvinov -- Tropical cones defined by max-linear inequalities / Edouard Wagneur, Laurent Truffet, Farba Faye and Mamadou Thiam -- Minimum representing measures in idempotent analysis / Cormac Walsh --