Random-information decay threshold for polynomially decaying ellipsoids
Let 1≤p≤∞1\le p\le\infty1≤p≤∞ and let the semiaxes be σj=j−λ\sigma_j=j^{-\lambda}σj=j−λ for j∈Nj\in\mathbb{N}j∈N, with λ>1s=(12−1p)+\lambda>\frac{1}{s}=\left(\frac{1}{2}-\frac{1}{p}\right)_+λ>s1=(21−p1)+. Write…