Segmentos al azar en Eⁿ
dc.contributor.author
dc.date.accessioned
2009-07-17T07:15:34Z
dc.date.available
2009-07-17T07:15:34Z
dc.date.created
1976
dc.identifier.citation
Santaló, L. (1976). Segmentos al azar en Eⁿ. Revista de la Universidad Nacional de Tucumán: Serie A: Matemática y Física Teórica, 26 (1-2), 229-238
dc.identifier.issn
0080-2360
dc.identifier.uri
dc.description.abstract
Let En be the Euclidean space of n dimensions. We consider sets of line segments given at random in En with the origin and direction uniformly distributed and with a given length distribution dF (l) (0 < l < [infinit]). We first consider the problem of finding the probability that a segment which intersects a given convex body Q have 0, 1 or 2 common points with the boundary of Q. Then we consider a Poisson process of segments of intensity [lamda] and solve some problems, in particular, that of finding the Distribution of the distance from a fixed point, chosen independently of the process, to the nearest end of the line segments. For n = 1, 2, 3 this last problem has been solved by R. Coleman. Finally, we add some comments on random trees in En
dc.format.mimetype
application/pdf
dc.language.iso
Espanyol
dc.publisher
Facultad de Ciencias Exactas y Tecnología de la Universidad Nacional de Tucumán
dc.relation.ispartof
Revista de la Universidad Nacional de Tucumán: Serie A: Matemática y Física Teórica, 1976, vol.26, núm.1-2, p.229-238
dc.relation.ispartofseries
Publicacions
dc.rights
Tots els drets reservats
dc.subject
dc.title
Segmentos al azar en Eⁿ
dc.type
Article
dc.rights.accessRights
info:eu-repo/semantics/openAccess