Articles liés à Poisson Hyperplane Tessellations

Poisson Hyperplane Tessellations - Couverture rigide

Hug, Daniel; Schneider, Rolf

 
9783031541032: Poisson Hyperplane Tessellations
Couverture rigide
ISBN 10 : 3031541030 ISBN 13 : 9783031541032
Editeur : Springer International Publishing AG, 2024

Synopsis

This book is the first comprehensive presentation of a central topic of stochastic geometry: random mosaics that are generated by Poisson processes of hyperplanes. It thus connects a basic notion from probability theory, Poisson processes, with a fundamental object of geometry. The independence properties of Poisson processes and the long-range influence of hyperplanes lead to a wide range of phenomena which are of interest from both a geometric and a probabilistic point of view. A Poisson hyperplane tessellation generates many random polytopes, also a much-studied object of stochastic geometry. The book offers a variety of different perspectives and covers in detail all aspects studied in the original literature. The work will be useful to graduate students (advanced students in a Master program, PhD students), and professional mathematicians. The book can also serve as a reference for researchers in fields of physics, computer science, economics or engineering.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Daniel Hug: Born 1965, Studies of Mathematics and Physics in Freiburg, Diploma 1991, PhD 1994 and Habilitation 2000 in Mathematics (Univ. Freiburg). Assistant Professor at TU Vienna (2000), 2000--2005 Assistant/Associate Professor Univ. Freiburg, 2005--2007 trained and acted as a High School Teacher, 2007 Professor Univ. Duisburg-Essen, 2007--2011 Associate Professor in Karlsruhe, Professor in Karlsruhe (KIT) since 2011.


Rolf Schneider: Born 1940, Studies of Mathematics and Physics in Frankfurt/M, Diploma 1964, PhD 1967 (Frankfurt), Habilitation 1969 (Bochum), 1970 Wissenschaftlicher Rat and Professor Univ. Frankfurt, 1970 Professor TU Berlin, 1974 Professor Univ. Freiburg, 2003 Dr. h.c. Univ. Salzburg, 2005 Emeritus.

À propos de la quatrième de couverture

This book is the first comprehensive presentation of a central topic of stochastic geometry: random mosaics that are generated by Poisson processes of hyperplanes. It thus connects a basic notion from probability theory, Poisson processes, with a fundamental object of geometry. The independence properties of Poisson processes and the long-range influence of hyperplanes lead to a wide range of phenomena which are of interest from both a geometric and a probabilistic point of view. A Poisson hyperplane tessellation generates many random polytopes, also a much-studied object of stochastic geometry. The book offers a variety of different perspectives and covers in detail all aspects studied in the original literature. The work will be useful to graduate students (advanced students in a Master program, PhD students), and professional mathematicians. The book can also serve as a reference for researchers in fields of physics, computer science, economics or engineering.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer International Publishing AG
Date d'édition
2024
Langue
anglais
ISBN 10 
3031541030
ISBN 13 
9783031541032
Reliure
Relié
Nombre de pages
550
Coordonnées du fabricant
non disponible
Personne responsable
non disponible