P-adic Deterministic and Random Dynamics

Andrei Y. Khrennikov, Marcus Nilsson (Autoren)

Buch | Softcover

270 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2004
Springer (Verlag)
978-90-481-6698-5 (ISBN)

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This book provides an overview of the theory of p-adic (and more general non-Archimedean) dynamical systems. The main part of the book is devoted to discrete dynamical systems. It presents a model of probabilistic thinking on p-adic mental space based on ultrametric diffusion. Coverage also details p-adic neural networks and their applications to cognitive sciences: learning algorithms, memory recalling.

1. On Applications of P-Adic Analysis.- 2. P-Adic Numbers and P-Adic Analysis.- 3. P-Adic Dynamical Systems.- 4. Perturbation of Monomial Systems.- 5. Dynamical Systems in Finite Extensions of ?
P.- 6. Conjugate Maps.- 7. P-Adic Ergodicity.- 8. P-Adic Neural Networks.- 9. Dynamics in Ultra-Pseudometric Spaces.- 10. Random Dynamics.- 11. Dynamics of Probability Distributions on the P-Adic Mental Space.- 12. Ultrametric Wavelets and Their Applications.- 13. Theory of P-Adic Valued Probability.- References.

Erscheint lt. Verlag	15.12.2010
Reihe/Serie	Mathematics and Its Applications ; 574
Zusatzinfo	XVIII, 270 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	170 x 244 mm
Themenwelt	Geisteswissenschaften ► Psychologie ► Verhaltenstherapie
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
ISBN-10	90-481-6698-5 / 9048166985
ISBN-13	978-90-481-6698-5 / 9789048166985
Zustand	Neuware