English

The fine structure of the stationary distribution for a simple Markov process

Probability 2015-10-06 v2

Abstract

We study the fractal properties of the stationary distrubtion {\pi} for a simple Markov process on R. We will give bounds for the Hausdorff dimension of {\pi}, and lower bounds for the multifractal spectrum of {\pi}. Additionally, we will provide a method for numerically estimating these bounds.

Keywords

Cite

@article{arxiv.1412.0882,
  title  = {The fine structure of the stationary distribution for a simple Markov process},
  author = {Andreas Anckar and Göran Högnäs},
  journal= {arXiv preprint arXiv:1412.0882},
  year   = {2015}
}