Neutron Fluctuations

CHAPTER ONE

BASIC NOTIONS

Contents

1.1 Definitions

1.2 Equations for the Generating Functions

1.3 Investigation of the Generating Function Equations

1.4 Discrete Time Branching Processes

1.5 Random Tree as a Branching Process

1.6 Illustrative Examples

1.1 DEFINITIONS

First, the basic definitions will be summarised, and for the sake of easier overview, the simplest way of treatment is chosen.

The medium, in which certain objects are capable for not only to enter reactions but also can multiply themselves, is called a multiplying medium. Suppose that this medium is homogeneous and infinite. The medium will often be referred to as a system as well. For example, objects can be bacteria on a nourishing soil, or particles suitable for chemical ...