1.

Record Nr.

UNISA996466638303316

Autore

Baddeley Adrian

Titolo

Stochastic geometry : lectures given at the C. I. M. E. summer school held in Martina Franca, Italy, September 13-18 2004 / / A. Baddeley [and four others]

Pubbl/distr/stampa

Berlin ; ; Heidelberg : , : Springer, , [2007]

©2007

ISBN

1-280-70033-5

9786610700332

3-540-38175-9

Edizione

[1st ed. 2007.]

Descrizione fisica

1 online resource (XII, 292 p. 36 illus.)

Collana

Lecture Notes in Mathematics ; ; Volume 1892

Altri autori (Persone)

BaddeleyAdrian

WeilWolfgang <1945->

Disciplina

512.2

Soggetti

Discrete groups

Global differential geometry

Distribution

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Based on lectures given at the C.I.M.E. Summer School, held in Martina Franca, Italy, September 13-18, 2004.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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.

Sommario/riassunto

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.