## 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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Results 1-3 of 28

Page 253

... energy loss due to

E") is such that it becomes vanishingly small for large differences between E and

E'. Hence, as a first approximation we can put was introduced for

... energy loss due to

**collision**can be obtained by assuming that the function p(E,E") is such that it becomes vanishingly small for large differences between E and

E'. Hence, as a first approximation we can put was introduced for

**collision**loss.Page 257

Hence, we will first derive the G-equations for the nucleon cascade and then

consider the G-equations for the electron-photon cascade. Before deriving the G-

equations, the cross section for nucleon

assumed ...

Hence, we will first derive the G-equations for the nucleon cascade and then

consider the G-equations for the electron-photon cascade. Before deriving the G-

equations, the cross section for nucleon

**collisions**will be discussed." It isassumed ...

Page 278

of energy E will

interval (E", E' + d E"). For large E' the Thomson cross section 2me*Z dE. R(E",E)

dE' = mv2 E” is a good approximation. In the above, Z is the atomic number of the

...

of energy E will

**collide**with an atom of the absorber and lose energy in theinterval (E", E' + d E"). For large E' the Thomson cross section 2me*Z dE. R(E",E)

dE' = mv2 E” is a good approximation. In the above, Z is the atomic number of the

...

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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