Stochastic Geometry : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13 18, 2004
Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in almost all natural sciences or technical fields. Although its roots can be traced back to the 18th century (the Buffon needle problem), the modern theory...
Auteurs principaux : | , , , , , |
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Collectivité auteur : | |
Format : | Livre |
Langue : | anglais |
Titre complet : | Stochastic Geometry : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13 18, 2004 / A. Baddeley, I. Bárány, Rolf Schneider,... [et al.]; With additional contributions by D. Hug,... [et al.]; Editor, W Weil |
Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, 2007 Cham : Springer Nature |
Collection : | C.I.M.E. Foundation Subseries ; 1892 |
Accès en ligne : |
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Sujets : | |
Documents associés : | Autre format:
Stochastic Geometry Autre format: Stochastic Geometry |
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200 | 1 | |a Stochastic Geometry |e Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13 18, 2004 |f A. Baddeley, I. Bárány, Rolf Schneider,... [et al.] |g With additional contributions by D. Hug,... [et al.] |g Editor, W Weil | |
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225 | 0 | |a C.I.M.E |i Foundation Subseries |x 2946-1820 |v 1892 | |
330 | |a Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in almost all natural sciences or technical fields. Although its roots can be traced back to the 18th century (the Buffon needle problem), the modern theory of random sets was founded by D. Kendall and G. Matheron in the early 1970's. Its rapid development was influenced by applications in Spatial Statistics and by its close connections to Integral Geometry. The volume "Stochastic Geometry" contains the lectures given at the CIME summer school in Martina Franca in September 1974. The four main lecturers covered the areas of Spatial Statistics, Random Points, Integral Geometry and Random Sets, they are complemented by two additional contributions on Random Mosaics and Crystallization Processes. The book presents an up-to-date description of important parts of Stochastic Geometry. | ||
359 | 1 | |a Spatial Point Processes and their Applications -- Random Polytopes, Convex Bodies, and Approximation -- Integral Geometric Tools for Stochastic Geometry -- Random Sets (in Particular Boolean Models) -- Random Mosaics -- On the Evolution Equations of Mean Geometric Densities for a Class of Space and Time Inhomogeneous Stochastic Birth-and-growth Processes. | |
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