## 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. |

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Page 235

5 Applications in Physics: Theory of Cascade Processes 5.1 Introduction It is well

known that charged particles, as they pass through matter, lose

collisions and radiation. At low energies the main effects that enter into the

physical ...

5 Applications in Physics: Theory of Cascade Processes 5.1 Introduction It is well

known that charged particles, as they pass through matter, lose

**energy**bycollisions and radiation. At low energies the main effects that enter into the

physical ...

Page 239

Cascade theory has been developed under two approximations that depend on

the relation of the

critical

Cascade theory has been developed under two approximations that depend on

the relation of the

**energy**range of the cascade process to the critical**energy**, thecritical

**energy**being defined as the**energy**equal to the**energy**lost by a fast ...Page 254

s. "Root. pro. as. dE, dE, dt 0 2. The electron in state E may radiate or lose

by collision loss and change fa(E, E1;t) to f,(E, E1;t). The measure of this

contribution to the probability magnitude is given by ...

s. "Root. pro. as. dE, dE, dt 0 2. The electron in state E may radiate or lose

**energy**by collision loss and change fa(E, E1;t) to f,(E, E1;t). The measure of this

contribution to the probability magnitude is given by ...

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### 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