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...
Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in ...
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...
Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, a...
The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes. The articles include contributions from many of the leading experts in the field, and their topics of concern are expositions of recent results and in-depth analyses of the development (past and future) of the subject. The subject matter of the book ranges from algorithms for assignment and transportation problems to the introduction of a geometric theory of polyhedra which need not be convex. With polytopes as the main topic of...
The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes...
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...
Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, a...
Die von Blaschke begriindete Integralgeometrie handelt von beweglichen Fi guren im Raum und von invarianten Integralen, die sich bei ihnen bilden lassen. Dieses Zitat aus Hadwiger 1957] (S. 225) beschreibt recht gut die wesentlichen Elemente der Integralgeometrie: Es geht urn bewegte Figuren, also der Operation einer Gruppe unterworfene geometrische Objekte, und urn invariante Mittelwerte im Zusammenhang mit solchen bewegten Figuren. Integralgeometrie ist also ein Teilgebiet der Geometrie, das sich mit der Bestimmung und Anwendung von Mittelwerten geometrisch definierter Funk tionen...
Die von Blaschke begriindete Integralgeometrie handelt von beweglichen Fi guren im Raum und von invarianten Integralen, die sich bei ihnen bilden lass...
