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Die konvexe Hülle von n rotationssymmetrisch verteilten Punkten |
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| Authors: | Prof Dr H Carnal |
| Institution: | (1) Mathematisches Institut, UniversitÄt Bern, Sidlerstra\e 5, CH-3000 Bern |
| Abstract: | Summary The number of edges A
n
, the length l
n
and the surface F
n
of the convex hull of n independent, identically distributed random points in the plane are considered under the assumption of rotational symmetry. The asymptotic behaviour of the expectations E(A
n
), E(l
n
) and E(F
n
) is studied according to the behaviour of the function Pr(
as x  1 (distributions on the unit disc) or x (distributions on the whole plane).Herrn Prof. H. Hadwiger zu seinem 60. Geburtstag gewidmet. |
| Keywords: | |
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