English

On a problem of \"O. Stenflo

Dynamical Systems 2026-03-24 v1 Probability

Abstract

We construct an e-chain on a locally compact space with the unique stationary distribution such that the strong law of large numbers does not hold. This answers negatively the question asked by \"O. Stenflo.

Cite

@article{arxiv.2603.20384,
  title  = {On a problem of \"O. Stenflo},
  author = {Klaudiusz Czudek and Tomasz Szarek},
  journal= {arXiv preprint arXiv:2603.20384},
  year   = {2026}
}

Comments

7 pages, 1 figure

R2 v1 2026-07-01T11:30:31.255Z