Semantic Scholar
Open Access
2003
49 sitasi
Random polynomials of high degree and Levy concentration of measure
B. Shiffman
S. Zelditch
Abstrak
We show that the L^p norms of random sequences {s_N} of L^2 normalized holomorphic sections of increasing powers of an ample line bundle on a compact Kahler manifold are almost surely bounded for 2<p< infinity, and are almost surely O((log N)^{1/2}) for p= infinity. This estimate also holds for almost-holomorphic sections of positive line bundles on symplectic manifolds (in the sense of math.SG/0212180) and we give almost sure bounds for the C^k norms. Our methods involve asymptotics of Bergman-Szego kernels and the concentration of measure phenomenon.
Topik & Kata Kunci
Penulis (2)
B
B. Shiffman
S
S. Zelditch
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2003
- Bahasa
- en
- Total Sitasi
- 49×
- Sumber Database
- Semantic Scholar
- DOI
- 10.4310/AJM.2003.V7.N4.A11
- Akses
- Open Access ✓