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Mathematical Foundations of Nonextensive Statistical Mechanics by Sabir Umarov

Mathematical Foundations of Nonextensive Statistical Mechanics

by Sabir Umarov , Tsallis Constantino
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Book cover type: Hardcover
  • ISBN13: 9789811245152
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 336
  • Original Price: USD 118.0
  • Language: English
  • Edition: N/A
  • Item Weight: 622 grams
  • BISAC Subject(s): Physics / Mathematical & Computational

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.

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