Iterated Brownian motion ad libitum is not the pseudo-arc
Probability
2021-02-01 v1 General Topology
Abstract
We show that the construction of a random continuum from independent two-sided Brownian motions as considered in arXiv:2004.01367 almost surely yields a non-degenerate indecomposable but not-hereditary indecomposable continuum. In particular is (unfortunately) not the pseudo-arc.
Cite
@article{arxiv.2101.12489,
title = {Iterated Brownian motion ad libitum is not the pseudo-arc},
author = {Jérôme Casse and Nicolas Curien},
journal= {arXiv preprint arXiv:2101.12489},
year = {2021}
}