Metric entropy of convex hulls in Hilbert spaces

Wenbo Li; Werner Linde

Displaying similar documents to “Metric entropy of convex hulls in Hilbert spaces”

Bounds on margin distributions in learning problems

Vladimir Koltchinskii (2003)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

Applying a theorem of Fernique

Michel Talagrand (1996)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

On the differences of the partition function

Gert Almkvist (1992)

Acta Arithmetica

Similarity:

On sums of Hecke series in short intervals

Aleksandar Ivić (2001)

Journal de théorie des nombres de Bordeaux

Similarity:

We have $\sum_{K - G \leq k_{j} \leq K + G} α_{j} H_{j}^{3} (\frac{1}{2}) ≪_{ϵ} G K^{1 + ϵ}$ for $K^{ϵ} \leq G \leq K, where α_{j} = {|ρ_{j} (1)|}^{2} {(cosh π k_{j})}^{- 1}, and ρ_{j} (1)$ is the first Fourier coefficient of the Maass wave form corresponding to the eigenvalue $λ_{j} = k_{j}^{2} + \frac{1}{4}$ to which the Hecke series $H_{j} (s)$ is attached. This result yields the new bound $H_{j} (\frac{1}{2} ≪_{ϵ} k_{j}^{\frac{1}{3} + ϵ} .$

On Siegel's zero

D. M. Goldfeld, A. Schinzel (1975)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Bounds for capacities in terms of asymmetry.

Tilak Bhattacharya, Allen Weitsman (1996)

Revista Matemática Iberoamericana

Similarity:

Mean square of the remainder term in the Dirichlet divisor problem

Yuk-Kam Lau, Kai-Man Tsang (1995)

Journal de théorie des nombres de Bordeaux

Similarity:

Absolutely continuous measures for certain maps of an interval

Michal Misiurewicz (1981)

Publications Mathématiques de l'IHÉS

Similarity: