Pairs of non-intersecting random flats
Let Ar, As,1≦r+s≦n-1, be independent isotropic uniform random r- resp. s-flats meeting a n-dimensional convex body K. It is shown that the probability that the points realizing the distance of Arand Asbelong to K is maximal if and only if K is a ball. © 1988 Springer-Verlag.
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Springer-Verlag
1988
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
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| 008 | 190411s1988 xx ||||fo|||| 00| 0 eng|d | ||
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| 100 | 1 | |a Affentranger, F. | |
| 245 | 1 | 0 | |a Pairs of non-intersecting random flats |
| 260 | |b Springer-Verlag |c 1988 | ||
| 270 | 1 | 0 | |m Affentranger, F.; Departmento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Knothe, H., Über Ungleichungen bei Sehnenpotenzintegralen (1937) Deutsche Math., 2, pp. 544-551 | ||
| 504 | |a Petkantschin, B., Zusammenhänge zwischen den Dichten der linearen Unterräume im n-dimensionalen Raum (1936) Abh. Math. Sem. Univ. Hamburg, 11, pp. 249-310 | ||
| 504 | |a Santaló, L.A., (1976) Integral geometry and geometric probability, , Addison-Wesley, Reading, Mass | ||
| 504 | |a Schneider, R., Inequalities for random flats meeting a convex body (1985) Journal of Applied Probability, 22, pp. 710-716 | ||
| 520 | 3 | |a Let Ar, As,1≦r+s≦n-1, be independent isotropic uniform random r- resp. s-flats meeting a n-dimensional convex body K. It is shown that the probability that the points realizing the distance of Arand Asbelong to K is maximal if and only if K is a ball. © 1988 Springer-Verlag. |l eng | |
| 593 | |a Departmento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina | ||
| 773 | 0 | |d Springer-Verlag, 1988 |g v. 79 |h pp. 47-49 |k n. 1 |p Probab. Th. Rel. Fields |x 01788051 |t Probability Theory and Related Fields | |
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| 856 | 4 | 0 | |u https://doi.org/10.1007/BF00319102 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_01788051_v79_n1_p47_Affentranger |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01788051_v79_n1_p47_Affentranger |y Registro en la Biblioteca Digital |
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| 999 | |c 61737 | ||