Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models

This work can be recommended as an extensive course on p-adic mathematics, treating subjects such as a p-adic theory of probability and stochastic processes; spectral theory of operators in non-Archimedean Hilbert spaces; dynamic systems; p-adic fractal dimension, infinite-dimensional analysis and Feynman integration based on the Albeverio-Hoegh-Kröhn approach; both linear and nonlinear differential and pseudo-differential equations; complexity of random sequences and a p-adic description of chaos. Also, the present volume explores the unique concept of using fields of p-adic numbers and their corresponding non-Archimedean analysis, a p-adic solution of paradoxes in the foundations of quantum mechanics, and especially the famous Einstein-Podolsky-Rosen paradox to create an epistemological framework for scientific use. Audience: This book will be valuable to postgraduate students and researchers with an interest in such diverse disciplines as mathematics, physics, biology and philosophy.

שנה

1997

שפה

English

סדרה

Mathematics and Its Applications -- 427

הוצאה

Springer Netherlands

מהדורות

1

עמודים

396

ISBN

9789401071642

מקור הנתונים: Wikidata