# Iterated Brownian motion ad libitum is not the pseudo-arc

Abstract : We show that the construction of a random continuum $\mathcal{C}$ 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 $\mathcal{C}$ is (unfortunately) not the pseudo-arc.
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https://hal-universite-paris-saclay.archives-ouvertes.fr/hal-03287260
Contributor : Nicolas Curien Connect in order to contact the contributor
Submitted on : Thursday, July 15, 2021 - 3:01:51 PM
Last modification on : Saturday, July 17, 2021 - 3:45:58 AM

### Identifiers

• HAL Id : hal-03287260, version 1
• ARXIV : 2101.12489

### Citation

Jérôme Casse, Nicolas Curien. Iterated Brownian motion ad libitum is not the pseudo-arc. 2021. ⟨hal-03287260⟩