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Stochastic and Integral Geometry

Name: Stochastic and Integral Geometry
Brand: Springer, Berlin
SKU: 01570084
Price: 57154 HUF
Availability: InStock
Author: Rolf Schneider
ISBN: 9783540788584

Rolf Schneider

Wolfgang Weil

Language

English

Book Hardback

Libristo code: 01570084

Publishers Springer, Berlin, November 2007

Stochastic geometry deals with models for random geometric structures. Its early beginnings are foun... Full description

Libristo code: 01570084

379 b

57 154 Ft

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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.