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Tropical and Idempotent Mathematics (cop. 2009) / G. L. LITINOV
Titre : Tropical and Idempotent Mathematics : International Workshop TROPICAL-07 Tropical and Idempotent Mathematics August 25–30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet Type de document : texte imprimé Auteurs : G. L. LITINOV, Editeur scientifique ; S. N. SERGEEV, Editeur scientifique Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : cop. 2009 Collection : Contemporary mathematics, ISSN 0271-4132 num. 495 Importance : XIX-392 p. ISBN/ISSN/EAN : 978-0-8218-4782-4 Langues : Anglais (eng) Catégories : 06-06
06F07
14A99
15-06
16Y60
46N99Mots-clés : idempotence physique-mathématiques Résumé : This volume is a collection of papers from the International Conference on Tropical and Idempotent Mathematics, held in Moscow, Russia in August 2007. This is a relatively new branch of mathematical sciences that has been rapidly developing and gaining popularity over the last decade.
Tropical mathematics can be viewed as a result of the Maslov dequantization applied to “traditional” mathematics over fields. Importantly, applications in econophysics and statistical mechanics lead to an explanation of the nature of financial crises. Another original application provides an analysis of instabilities in electrical power networks. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of the subject. Contributions to idempotent analysis are focused on the Hamilton-Jacobi semigroup, the max-plus finite element method, and on the representations of eigenfunctions of idempotent linear operators. Tropical algebras, consisting of plurisubharmonic functions and their germs, are examined. The volume also contains important surveys and research papers on tropical linear algebra and tropical convex geometry.Note de contenu : références Tropical and Idempotent Mathematics : International Workshop TROPICAL-07 Tropical and Idempotent Mathematics August 25–30, 2007, Independent University of Moscow and Laboratory J.-V. Poncelet [texte imprimé] / G. L. LITINOV, Editeur scientifique ; S. N. SERGEEV, Editeur scientifique . - American Mathematical Society, cop. 2009 . - XIX-392 p.. - (Contemporary mathematics, ISSN 0271-4132; 495) .
ISBN : 978-0-8218-4782-4
Langues : Anglais (eng)
Catégories : 06-06
06F07
14A99
15-06
16Y60
46N99Mots-clés : idempotence physique-mathématiques Résumé : This volume is a collection of papers from the International Conference on Tropical and Idempotent Mathematics, held in Moscow, Russia in August 2007. This is a relatively new branch of mathematical sciences that has been rapidly developing and gaining popularity over the last decade.
Tropical mathematics can be viewed as a result of the Maslov dequantization applied to “traditional” mathematics over fields. Importantly, applications in econophysics and statistical mechanics lead to an explanation of the nature of financial crises. Another original application provides an analysis of instabilities in electrical power networks. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of the subject. Contributions to idempotent analysis are focused on the Hamilton-Jacobi semigroup, the max-plus finite element method, and on the representations of eigenfunctions of idempotent linear operators. Tropical algebras, consisting of plurisubharmonic functions and their germs, are examined. The volume also contains important surveys and research papers on tropical linear algebra and tropical convex geometry.Note de contenu : références Réservation
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