## 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 359

2 is applicable to the study of chemical

be defined as the study of the time rates of chemical

which influence those rates (cf. [9]). The mathematical theory of chemical

...

2 is applicable to the study of chemical

**reaction**kinetics. Chemical kinetics canbe defined as the study of the time rates of chemical

**reactions**and of the factorswhich influence those rates (cf. [9]). The mathematical theory of chemical

**reaction**...

Page 360

In this chapter we shall restrict our attention to some stochastic models for

chemical

autocatalytic

chain

In this chapter we shall restrict our attention to some stochastic models for

chemical

**reaction**kinetics. The models we consider in Sec. 8.2 are forautocatalytic

**reactions**, unimolecular**reactions**, bimolecular**reactions**, and somechain

**reactions**.Page 362

2 ; hence we have P'{t) = ( x ) e~"*V - 1 0 < x < *o (8.8) Similarly, we have that the

mean and variance of the concentration of A are S{X(t)} = xrfTkt (8.9) ^{X(t)} = *„e

-*'(l-e-1') (8.10) That the stochastic treatment of the unimolecular

...

2 ; hence we have P'{t) = ( x ) e~"*V - 1 0 < x < *o (8.8) Similarly, we have that the

mean and variance of the concentration of A are S{X(t)} = xrfTkt (8.9) ^{X(t)} = *„e

-*'(l-e-1') (8.10) That the stochastic treatment of the unimolecular

**reaction**should...

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### Contents

Introduction | 1 |

Processes Discrete in Space and Time | 9 |

Processes Discrete in Space and Continuous in Time | 57 |

Copyright | |

10 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 |

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