## 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 247

In this section we consider the methods

the treatment of the fluctuation problem. The first model in the study of the

fluctuation problem was introduced by Bhabha and Heitler [13] in a fundamental

paper on ...

In this section we consider the methods

**developed**by various investigators forthe treatment of the fluctuation problem. The first model in the study of the

fluctuation problem was introduced by Bhabha and Heitler [13] in a fundamental

paper on ...

Page 249

In order to obtain more realistic mathematical representations of cascade

processes, several rather powerful techniques have been

for new techniques is pointed up by the fact that in cascade theory one studies

the ...

In order to obtain more realistic mathematical representations of cascade

processes, several rather powerful techniques have been

**developed**. The needfor new techniques is pointed up by the fact that in cascade theory one studies

the ...

Page 317

When the emulsion is

larger radius, while the crystals that were not activated dissolve away. Clearly, if

two activated crystals are close enough to one another, the

When the emulsion is

**developed**, each “activated” crystal grows into a “grain” oflarger radius, while the crystals that were not activated dissolve away. Clearly, if

two activated crystals are close enough to one another, the

**developed**, or final, ...### What people are saying - Write a review

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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