000			00525nam a22001817a 4500
999			_c30724 _d30724
008			180414b2018 xxu||||| |||| 00| 0 eng d
020			_a9781107458437
082			_a519.24 LAS-G
100			_aLast, Gunter
245			_aLectures on the poisson process / _cGunter Last and Mathew Penrose
260			_aCambridge _bCambridge University Press _c2018
300			_a293 p.
365			_aGBP _b27.99
500			_aThe Poisson process, a core object in modern probability, enjoys a richer theory than is sometimes appreciated. This volume develops the theory in the setting of a general abstract measure space, establishing basic results and properties as well as certain advanced topics in the stochastic analysis of the Poisson process. Also discussed are applications and related topics in stochastic geometry, including stationary point processes, the Boolean model, the Gilbert graph, stable allocations, and hyperplane processes. Comprehensive, rigorous, and self-contained, this text is ideal for graduate courses or for self-study, with a substantial number of exercises for each chapter. Mathematical prerequisites, mainly a sound knowledge of measure-theoretic probability, are kept in the background, but are reviewed comprehensively in the appendix. The authors are well-known researchers in probability theory; especially stochastic geometry. Their approach is informed both by their research and by their extensive experience in teaching at undergraduate and graduate levels.
650			_aPoisson Processes
650			_aStochastic processes
650			_aProbabilities
700			_aPenrose, Mathew