Premium
On the Intersection Density of Flat Processes
Author(s) -
Mecke J.
Publication year - 1991
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19911510106
Subject(s) - intersection (aeronautics) , mathematics , poisson distribution , poisson process , euclidean space , euclidean geometry , intensity (physics) , process (computing) , space (punctuation) , geometry , poisson point process , combinatorics , mathematical analysis , statistics , physics , computer science , optics , transport engineering , operating system , engineering
Stationary POISSON r ‐flat processes in the d ‐dimensional Euclidean space ( d /2 ≦ r ≦ d − 1) induce a process of (2 r − d )‐flats each of which is the intersection of two r ‐flats of the original processes. The intensity of the induced (2 r − d )‐flat process is called intersection density of the original POISSON r ‐flat process. The problem of maximizing the intersection density for given intensity is considered. A new approach to earlier results of THOMAS and the author is presented.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom