Gaussian fluctuations for high-dimensional random projections of ${\ell }_p^n$-balls

David Alonso-Gutierrez, Joscha Prochno, Christoph Thaele

In this paper, we study high-dimensional random projections of ${\ell }_p^n$-balls. More precisely, for any $n\in \mathbb{N}$ let $E_n$ be a random subspace of dimension $k_n\in\{1,\ldo…