Random continuum and Brownian motion
We describe a probabilistic model involving iterated Brownian motion for constructing a random chainable continuum. We show that this random continuum is indecomposable. We use our probabilistic model to define a Wiener‐type measure on the space of all chainable continua.
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Veröffentlicht in: | The Bulletin of the London Mathematical Society 2021-10, Vol.53 (5), p.1376-1389 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We describe a probabilistic model involving iterated Brownian motion for constructing a random chainable continuum. We show that this random continuum is indecomposable. We use our probabilistic model to define a Wiener‐type measure on the space of all chainable continua. |
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ISSN: | 0024-6093 1469-2120 |
DOI: | 10.1112/blms.12504 |