English

Computable randomness and monotonicity

Logic 2015-09-29 v1

Abstract

We show that zRnz\in\R^n is computably random if and only if every computable monotone function on Rn\R^n is differentiable at zz.

Cite

@article{arxiv.1509.07910,
  title  = {Computable randomness and monotonicity},
  author = {Alex Galicki},
  journal= {arXiv preprint arXiv:1509.07910},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1410.8578

R2 v1 2026-06-22T11:05:56.997Z