Status: Präsenznutzung
Signatur:
PY/UG 3100 U48
Standort: Bereichsbibl. Physik + As / BPA
Exemplare:
siehe unten
Verfasst von: | Umarov, Sabir [VerfasserIn] |
| Tsallis, Constantino [VerfasserIn] |
Titel: | Mathematical foundations of nonextensive statistical mechanics |
Verf.angabe: | Sabir Umarov (University of New Haven, USA), Constantino Tsallis (Centro Brasileiro de Pesquisas Fisicas, Brazil) |
Verlagsort: | New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |
Verlag: | World Scientific |
E-Jahr: | 2022 |
Jahr: | [2022] |
Umfang: | xvii, 318 Seiten |
Illustrationen: | Illustrationen |
Fussnoten: | Includes bibliographical references and index |
ISBN: | 9789811245152 |
Abstract: | "The book is devoted to the mathematical foundations of nonextensive statistical mechanics. This is the first book containing the systematic presentation of the mathematical theory and concepts related to nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs statistical mechanics introduced in 1988 by one of the authors and based on a nonadditive entropic functional extending the usual Boltzmann-Gibbs-von Neumann-Shannon entropy. Main mathematical tools like the q-exponential function, q-Gaussian distribution, q-Fourier transform, q-central limit theorems, and other related objects are discussed rigorously with detailed mathematical rational. The book also contains recent results obtained in this direction and challenging open problems. Each chapter is accompanied with additional useful notes including the history of development and related bibliographies for further reading"-- |
URL: | Inhaltsverzeichnis: https://www.gbv.de/dms/tib-ub-hannover/1786395517.pdf |
| https://zbmath.org/?q=an%3A7503151 |
Schlagwörter: | (s)Statistische Mechanik / (s)Verteilungsfunktion / (s)Entropie / (s)Verallgemeinerte Fourier-Transformation / (s)Zentraler Grenzwertsatz / (s)Stabile Verteilung |
Sprache: | eng |
Bibliogr. Hinweis: | Erscheint auch als : Online-Ausgabe: Umarov, Sabir: Mathematical foundations of nonextensive statistical mechanics. - New Jersey : World Scientific, 2022. - 1 Online-Ressource (xvii, 318 Seiten) |
K10plus-PPN: | 1786395517 |
9789811245152
Mathematical foundations of nonextensive statistical mechanics / Umarov, Sabir [VerfasserIn]; [2022]
68982818