Random continuum and Brownian motion

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
Hauptverfasser: Kiss, Viktor, Solecki, Sławomir
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Sprache:eng
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container_title The Bulletin of the London Mathematical Society
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creator Kiss, Viktor
Solecki, Sławomir
description 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.
doi_str_mv 10.1112/blms.12504
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title Random continuum and Brownian motion
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