| 书目名称 | Stochastic and Integral Geometry |
| 编辑 | Rolf Schneider,Wolfgang Weil |
| 视频video | |
| 概述 | First book since Santalo‘s classic 1976 to combine stochastic geometry and integral geometry..It presents rigorous foundations of the models of stochastic geometry as well as of the tools from integra |
| 丛书名称 | Probability and Its Applications |
| 图书封面 |  |
| 描述 | .Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry – random sets, point processes, random mosaics – and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.. |
| 出版日期 | Book 2008 |
| 关键词 | Geometric probability; Integral geometry; Random set; Stochastic geometry; Variance; point process |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-78859-1 |
| isbn_softcover | 978-3-642-09766-9 |
| isbn_ebook | 978-3-540-78859-1Series ISSN 1431-7028 |
| issn_series | 1431-7028 |
| copyright | Springer-Verlag Berlin Heidelberg 2008 |
发表于 2025-3-21 19:32:12
