## Elements of the Theory of Markov Processes and Their ApplicationsGraduate-level text and reference in probability, with numerous scientific applications. Nonmeasure-theoretic introduction to theory of Markov processes and to mathematical models based on the theory. Appendixes. Bibliographies. 1960 edition. |

### From inside the book

Results 1-3 of 57

Page 238

between the nucleon

multiplicative processes involved in the two cases are similar. In an electron-

photon

develops ...

between the nucleon

**cascade**and the electron-photon**cascade**, even though themultiplicative processes involved in the two cases are similar. In an electron-

photon

**cascade**the interior of the nucleus plays no role, and the**cascade**develops ...

Page 249

The first realistic model of a

Uhlenbeck [97]. This model was the first to incorporate quantum-mechanical

cross sections for radiation loss and pair production, and because of this

represented the ...

The first realistic model of a

**cascade**process was introduced by Scott andUhlenbeck [97]. This model was the first to incorporate quantum-mechanical

cross sections for radiation loss and pair production, and because of this

represented the ...

Page 287

Srinivasan and Ranganathan [99] have given numerical calculations of the mean

number of electrons in a

particular, they have obtained the following result: Let the random variable X(E;t)

...

Srinivasan and Ranganathan [99] have given numerical calculations of the mean

number of electrons in a

**cascade**with energies greater than E at depth t. Inparticular, they have obtained the following result: Let the random variable X(E;t)

...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction | 1 |

Processes Discrete in Space and Continuous in Time | 57 |

Processes Continuous in Space and Time | 129 |

Copyright | |

9 other sections not shown

### Other editions - View all

Elements of the Theory of Markov Processes and Their Applications A. T. Bharucha-Reid Limited preview - 2012 |

Elements of the Theory of Markov Processes and Their Applications Albert T. Bharucha-Reid Limited preview - 1997 |

### Common terms and phrases

absorber addition applications approach arrival associated assume assumptions becomes birth boundary branching processes called cascade coefficients collision concerned condition consider constant continuous counter death defined denote density derive described determined developed differential equation diffusion discussion distribution function electron energy epidemic equal exists expected expression finite fluctuation given gives growth Hence independent individuals initial condition integral interest interval introduce Kolmogorov equations Laplace transform length limit machine Markov Markov chain Markov processes Math mathematical mean method moments necessary nucleon obtain particle particular photon Poisson population positive primary problem Proof properties queueing radiation random variable reaction refer relation represent respectively satisfies shown simple ſº solution Statist Stochastic Processes Theorem theory tion transition probabilities zero