@article{63598d357c4641c5bf1e914413c8c8f2,
title = "Averages of norms and behavior of families of projective caps on the sphere",
abstract = "We compute the number of summands in q-averages of norms needed to approximate a Euclidean ball. Surprisingly, for a large range of values of q, these numbers depend essentially only on the maximal ratio of the norm and the Euclidean norm. Some properties of a family of projective caps on the sphere are central in this study.",
author = "Litvak, {A. E.} and Milman, {V. D.} and G. Schechtman",
note = "Funding Information: For the proofs, see the manuscript [4]. Acknowledgements. Partially supported by BSF grants. We are grateful to Roy Wagner and Alain Pajor for translating the extended abstract into French.",
year = "1997",
month = aug,
doi = "10.1016/S0764-4442(97)83958-4",
language = "אנגלית",
volume = "325",
pages = "289--294",
journal = "Comptes Rendus de l'Academie des Sciences - Series I: Mathematics",
issn = "0764-4442",
publisher = "Academie des sciences",
number = "3",
}