English

Assouad dimension of random processes

Probability 2018-03-16 v2

Abstract

In this paper we study the Assouad dimension of graphs of certain L\'evy processes and functions defined by stochastic integrals. We do this by introducing a convenient condition which guarantees a graph to have full Assouad dimension and then show that graphs of our studied processes satisfy this condition.

Keywords

Cite

@article{arxiv.1707.02507,
  title  = {Assouad dimension of random processes},
  author = {Douglas Howroyd and Han Yu},
  journal= {arXiv preprint arXiv:1707.02507},
  year   = {2018}
}

Comments

8 pages, 2 figures, to appear in Proceedings of the Edinburgh Mathematical Society

R2 v1 2026-06-22T20:41:34.215Z