Stochastic and integral geometry, Schneider, Rolf Weil, Wolfgang
Автор: Gallager Название: Stochastic Processes ISBN: 1107039754 ISBN-13(EAN): 9781107039759 Издательство: Cambridge Academ Рейтинг: Цена: 7016 р. Наличие на складе: Есть (1 шт.) Описание: This definitive textbook provides a solid introduction to discrete and continuous stochastic processes, tackling a complex field in a way that instils a deep understanding of the relevant mathematical principles, and develops an intuitive grasp of the way these principles can be applied to modelling real-world systems. It includes a careful review of elementary probability and detailed coverage of Poisson, Gaussian and Markov processes with richly varied queuing applications. The theory and applications of inference, hypothesis testing, estimation, random walks, large deviations, martingales and investments are developed. Written by one of the world's leading information theorists, evolving over twenty years of graduate classroom teaching and enriched by over 300 exercises, this is an exceptional resource for anyone looking to develop their understanding of stochastic processes.
Описание: The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related.In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.
Описание: This book aims to provide a self-contained introduction to the local geometry of the stochastic flows. It studies the hypoelliptic operators, which are written in
Hormander's form, by using the connection between stochastic flows and partial differential equations. The book stresses the author's view that the local geometry of any stochastic
flow is determined very precisely and explicitly by a universal formula referred to as the Chen-Strichartz formula.
The natural geometry associated with the Chen-Strichartz
formula is the sub-Riemannian geometry, and its main tools are introduced throughout the text.
Описание: Gives an overview of path integral quantization and stochastic quantization of classical mechanics and field theory. This title describes the non-Abelian gauge field, the gravitational field, and the path integral representation of quantum statistical mechanics and stochastic quantization.
Описание: This book surveys the development of integral geometry on domains of homogeneous spaces, covering analysis of multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group.
Автор: Parzen, Emanuel Название: Stochastic processes ISBN: 0898714419 ISBN-13(EAN): 9780898714418 Издательство: Eurospan Рейтинг: Цена: 7874 р. Наличие на складе: Нет в наличии.
Описание: This introductory textbook explains how and why probability models are applied to scientific fields such as medicine, biology, physics, oceanography, economics, and psychology to solve problems about stochastic processes. It does not just show how a problem is solved but explains why by formulating questions and first steps in the solutions.
Автор: Rolf Schneider; Wolfgang Weil Название: Stochastic and Integral Geometry ISBN: 3642097669 ISBN-13(EAN): 9783642097669 Издательство: Springer Цена: 9090 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Benes Viktor, Rataj Jan Название: Stochastic Geometry: / Selected Topics ISBN: 1402081022 ISBN-13(EAN): 9781402081026 Издательство: Springer Рейтинг: Цена: 10449 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc. In combination with spatial statistics it is used for the solution of practical problems such as the description of spatial arrangements and the estimation of object characteristics. A related field is stereology, which makes possible inference on the structures, based on lower-dimensional observations. Unfolding problems for particle systems and extremes of particle characteristics are studied. The reader can learn about current developments in stochastic geometry with mathematical rigor on one hand and find applications to real microstructure analysis in natural and material sciences on the other hand.
Автор: Hilliard Название: Stereology and Stochastic Geometry ISBN: 1402016875 ISBN-13(EAN): 9781402016875 Издательство: Springer Цена: 8883 р. Наличие на складе: Поставка под заказ.
Описание: This book, written for the scientist-practitioner, presents in a concise, understandable, step-by-step form, the derivations of all the formulas of classical
stereology ("quantitative microscopy") along with those of such modern constructs as star volume and the disector. Striving for simplicity, it is an attack on obfuscation by one of the
founders of the field of stereology. Anatomists, histologists, materials scientists and geo-scientists will find this work an extremely readable explanation of the theory underlying their
It covers the formulas for methods based on sectioning as well as those based on plane projections as used in transmission electron microscopy and point
projections as used in photogrammetry. It reintroduces the useful Cahn-Hilliard estimators for the variances of stereological measurements, or
ginally published by the National Bureau of Standards.
Описание: Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, biology and environmental sciences. This book deals with the following topics: point processes; random sets; random measures; random shapes; fibre and surface processes; tessellations; and, stereological methods.
Описание: This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
Автор: Haenggi Название: Stochastic Geometry for Wireless Networks ISBN: 1107014697 ISBN-13(EAN): 9781107014695 Издательство: Cambridge Academ Рейтинг: Цена: 8857 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
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