## Random Measures, Theory and ApplicationsOffering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation. The three large final chapters focus on applications within the areas of stochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability, much of it, including the most basic material, has previously been available only in scores of journal articles. The book is primarily directed towards researchers and advanced graduate students in stochastic processes and related areas. |

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### Contents

1 | |

15 | |

2 Distributions and Local Structure | 49 |

3 Poisson and Related Processes | 70 |

4 Convergence and Approximation | 109 |

5 Stationarity in Euclidean Spaces | 154 |

6 Palm and Related Kernels | 211 |

7 Group Stationarity and Invariance | 266 |

10 Multiple Integration | 406 |

11 Line and Flat Processes | 447 |

12 Regeneration and Local Time | 481 |

13 Branching Systems and Superprocesses | 538 |

Appendices | 622 |

Historical and Bibliographical Notes | 633 |

657 | |

673 | |