Lectures on the Poisson Process van Gunter Last and Mathew Penrose is a textbook focused on the theoretical and applied aspects of the Poisson process. This English-language work provides a thorough introduction to the basic principles and advanced topics in stochastic geometry.
The book develops the theory of the Poisson process within a general abstract measure-space framework and covers fundamental results and properties. It also highlights applications such as stationary point processes, the Boolean model, Gilbert graphs, stable allocations, and hyperplane processes. It addresses related topics as well and has a clear focus on stochastic geometry.
With extensive exercises per chapter, this edition is suitable for self-study and graduate courses. The text requires a background in geometric probability, which is summarized in the appendix. The authors, experts in Poisson and stochastic geometry, combine theoretical depth with teaching experience.
This textbook is an essential reference for anyone who wants to delve into the Poisson process and its applications across various scientific disciplines.
Subjects: Probability and statistics, MATHEMATICS / Probability & Statistics / General, Science & Mathematics: Textbooks & Study Guides.
Series: Institute of Mathematical Statistics Textbooks