Computable randomness and monotonicity

Abstract

We show that $z\in {\mathbb{R}}^n$ is computably random if and only if every computable monotone function on ${\mathbb{R}}^n$ is differentiable at $z$.

arXiv admin note: text overlap with arXiv:1410.8578

Cited by in corpus (1)

• Randomness and differentiability in higher dimensions