P-adic Deterministic and Random Dynamics

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.