Stochastic Geometry
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Stochastic Geometry And Its Applications
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Author : Sung Nok Chiu
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-27
Stochastic Geometry And Its Applications written by Sung Nok Chiu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-27 with Mathematics categories.
An extensive update to a classic text Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, engineering, biology and environmental sciences. They offer successful models for the description of random two- and three-dimensional micro and macro structures and statistical methods for their analysis. The previous edition of this book has served as the key reference in its field for over 18 years and is regarded as the best treatment of the subject of stochastic geometry, both as a subject with vital applications to spatial statistics and as a very interesting field of mathematics in its own right. This edition: Presents a wealth of models for spatial patterns and related statistical methods. Provides a great survey of the modern theory of random tessellations, including many new models that became tractable only in the last few years. Includes new sections on random networks and random graphs to review the recent ever growing interest in these areas. Provides an excellent introduction to theory and modelling of point processes, which covers some very latest developments. Illustrate the forefront theory of random sets, with many applications. Adds new results to the discussion of fibre and surface processes. Offers an updated collection of useful stereological methods. Includes 700 new references. Is written in an accessible style enabling non-mathematicians to benefit from this book. Provides a companion website hosting information on recent developments in the field www.wiley.com/go/cskm Stochastic Geometry and its Applications is ideally suited for researchers in physics, materials science, biology and ecological sciences as well as mathematicians and statisticians. It should also serve as a valuable introduction to the subject for students of mathematics and statistics.
Stochastic Geometry
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Author : W. Weil
language : en
Publisher: Springer
Release Date : 2006-10-26
Stochastic Geometry written by W. Weil and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-26 with Mathematics categories.
Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures. This book collects lectures presented at the CIME summer school in Martina Franca in September 2004. The main lecturers covered Spatial Statistics, Random Points, Integral Geometry and Random Sets. These are complemented by two additional contributions on Random Mosaics and Crystallization Processes. The book presents a comprehensive and up-to-date description of important aspects of Stochastic Geometry.
Stochastic Geometry Spatial Statistics And Random Fields
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Author : Volker Schmidt
language : en
Publisher: Springer
Release Date : 2014-10-24
Stochastic Geometry Spatial Statistics And Random Fields written by Volker Schmidt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-24 with Mathematics categories.
This volume is an attempt to provide a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, with special emphasis placed on fundamental classes of models and algorithms as well as on their applications, e.g. in materials science, biology and genetics. This book has a strong focus on simulations and includes extensive codes in Matlab and R which are widely used in the mathematical community. It can be seen as a continuation of the recent volume 2068 of Lecture Notes in Mathematics, where other issues of stochastic geometry, spatial statistics and random fields were considered with a focus on asymptotic methods.
Stochastic Geometry For Wireless Networks
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Author : Martin Haenggi
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-18
Stochastic Geometry For Wireless Networks written by Martin Haenggi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Technology & Engineering categories.
Covering point process theory, random geometric graphs and coverage processes, this rigorous introduction to stochastic geometry will enable you to obtain powerful, general estimates and bounds of wireless network performance and make good design choices for future wireless architectures and protocols that efficiently manage interference effects. Practical engineering applications are integrated with mathematical theory, with an understanding of probability the only prerequisite. At the same time, stochastic geometry is connected to percolation theory and the theory of random geometric graphs and accompanied by a brief introduction to the R statistical computing language. Combining theory and hands-on analytical techniques with practical examples and exercises, this is a comprehensive guide to the spatial stochastic models essential for modelling and analysis of wireless network performance.
Stochastic Geometry
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Author : Wilfrid S. Kendall
language : en
Publisher: Routledge
Release Date : 2019-06-10
Stochastic Geometry written by Wilfrid S. Kendall and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-10 with Mathematics categories.
Stochastic geometry involves the study of random geometric structures, and blends geometric, probabilistic, and statistical methods to provide powerful techniques for modeling and analysis. Recent developments in computational statistical analysis, particularly Markov chain Monte Carlo, have enormously extended the range of feasible applications. Stochastic Geometry: Likelihood and Computation provides a coordinated collection of chapters on important aspects of the rapidly developing field of stochastic geometry, including: o a "crash-course" introduction to key stochastic geometry themes o considerations of geometric sampling bias issues o tesselations o shape o random sets o image analysis o spectacular advances in likelihood-based inference now available to stochastic geometry through the techniques of Markov chain Monte Carlo
Stochastic Geometry Percolation Tesselations Gaussian Fields And Point Processes
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Author : Hermine Biermé
language : en
Publisher: Springer Nature
Release Date : 2025-10-03
Stochastic Geometry Percolation Tesselations Gaussian Fields And Point Processes written by Hermine Biermé and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-10-03 with Mathematics categories.
This volume covers a broad spectrum of topics in stochastic geometry, including percolation, tessellations, Gaussian fields and point processes. Based on lectures given at the Stochastic Geometry Days held by the Stochastic Geometry Research Group from 2019 to 2022, the book opens with an introduction to Russo–Seymour–Welsh theory for the study of percolation, before going on to explore random tessellations and their applications, the geometry of Gaussian random fields, and the zeros of analytic Gaussian fields. This discussion naturally leads to the concept of determinantal point processes, whose applications in signal processing are the focus of the final chapter. Providing a unique and accessible overview of active fields in stochastic geometry, their tools and models, this collection of lectures will encourage further research and applications.
Stochastic Geometry And Its Applications
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Author :
language : en
Publisher:
Release Date : 1985
Stochastic Geometry And Its Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Stochastic geometry categories.
Stochastic Geometry For Image Analysis
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Author : Xavier Descombes
language : en
Publisher: John Wiley & Sons
Release Date : 2013-05-06
Stochastic Geometry For Image Analysis written by Xavier Descombes and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-06 with Technology & Engineering categories.
This book develops the stochastic geometry framework for image analysis purpose. Two main frameworks are described: marked point process and random closed sets models. We derive the main issues for defining an appropriate model. The algorithms for sampling and optimizing the models as well as for estimating parameters are reviewed. Numerous applications, covering remote sensing images, biological and medical imaging, are detailed. This book provides all the necessary tools for developing an image analysis application based on modern stochastic modeling.
Stochastic Geometry
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Author : Viktor Benes
language : en
Publisher:
Release Date : 2014-01-15
Stochastic Geometry written by Viktor Benes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Stochastic And Integral Geometry
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Author : Rolf Schneider
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-08
Stochastic And Integral Geometry written by Rolf Schneider and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-08 with Mathematics categories.
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.