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  • © 2004

P-adic Deterministic and Random Dynamics

Part of the book series: Mathematics and Its Applications (MAIA, volume 574)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xvii
  2. On Applications of P-Adic Analysis

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 1-4
  3. P-Adic Numbers and P-Adic Analysis

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 5-29
  4. P-Adic Dynamical Systems

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 31-70
  5. Perturbation of Monomial Systems

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 71-82
  6. Dynamical Systems in Finite Extensions of ℚ p

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 83-97
  7. Conjugate Maps

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 99-115
  8. P-Adic Ergodicity

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 117-121
  9. P-Adic Neural Networks

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 123-153
  10. Dynamics in Ultra-Pseudometric Spaces

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 155-172
  11. Random Dynamics

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 173-191
  12. Dynamics of Probability Distributions on the P-Adic Mental Space

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 193-208
  13. Ultrametric Wavelets and Their Applications

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 209-228
  14. Theory of P-Adic Valued Probability

    • Andrei Yu. Khrennikov, Marcus Nilson
    Pages 229-254
  15. Back Matter

    Pages 255-270

Reviews

From the reviews:

"The growing interest in non-Archimedean counterparts of virtually all main notions of classical mathematics and could not leave out holomorphic dynamics, one of the central subjects of modern analysis. … The authors of this book are among the most active contributors … and their results constitute the main material of the book. … The book will be interesting both to specialists in dynamical systems wishing to see the ‘p-adic face’ of their field, and to readers looking for new applications of mathematics … ." (Anatoly N. Kochubei, Mathematical Reviews, 2005h)

Authors and Affiliations

  • University of Växjö, Sweden

    Andrei Yu. Khrennikov, Marcus Nilson

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access