English

Algorithmic randomness and Ramsey properties of countable homogeneous structures

Computational Complexity 2013-08-27 v1

Abstract

We study, in the context of algorithmic randomness, the closed amenable subgroups of the symmetric group SS_\infty of a countable set. In this paper we address this problem by investigating a link between the symmetries associated with Ramsey Fra\"iss\'e order classes and algorithmic randomness.

Cite

@article{arxiv.1308.5506,
  title  = {Algorithmic randomness and Ramsey properties of countable homogeneous structures},
  author = {Willem L. Fouché},
  journal= {arXiv preprint arXiv:1308.5506},
  year   = {2013}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1205.0386

R2 v1 2026-06-22T01:14:50.706Z