Kniha Stochastic and Integral Geometry Rolf Schneider

Stochastic and Integral Geometry

Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: Springer, Berlin
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
139.31
Stochastic geometry deals with models for random geometric structures. Its early beginnings are foun...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
2008
Stránok
694
EAN
9783540788584
ISBN
3540788581
Enbook ID
01570084
Vydavateľ
Hmotnosť
1172
Rozmery
164 x 239 x 47

Kompletný popis

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.

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