
- 350 pages
- English
- PDF
- Available on iOS & Android
Random Walk In Random And Non-random Environments
About this book
This book collects and compares the results — mostly strong theorems which describe the properties of a simple symmetric random walk. The newest problems of limit theorems of probability theory are treated in the very simple case of coin tossing. Using the advantage of this simple situation, the reader can become familiar with limit theorems (especially strong ones) without suffering from technical tools and difficulties. A simple way to the study of the Wiener process is also given, through the study of the random walk. This book presents the most complete study of, and the most elementary way to the study of, the path properties of the Wiener process; and the most elementary way to the study of the strong theorems of probability theory.
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Table of contents
- Contents
- Preface
- Introduction
- I. SIMPLE SYMMETRIC RANDOM WALK IN Z^1
- II. SIMPLE SYMMETRIC RANDOM WALK IN Z^d
- III RANDOM WALK IN RANDOM ENVIRONMENT
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