Transformations of Poisson Processes: Particle Systems and Networks
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This study is dedicated to Julian Keilson, who was one of my earliest academic friends. Our many discussions were often sprinkled with his inquisitive and insightful questions about our research and his musings about the relevance of applied probability. One of his traits was to strive to uncover the essence of a matter and to present major ideas in a simple form. That is the spirit in which I approached this chapter. Its focus is on simple proofs of transformations of Poisson processes and their applications to particle systems and to networks of M/G/∞ service stations. Such networks were the subject of Keilson and Servi .
KeywordsPoisson Process Point Process Particle System Location Process Attribute Process
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