Plane Brownian motion has strictly \(n\)-multiple points (Q1082721)
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scientific article; zbMATH DE number 3974005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Plane Brownian motion has strictly \(n\)-multiple points |
scientific article; zbMATH DE number 3974005 |
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Plane Brownian motion has strictly \(n\)-multiple points (English)
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1985
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Extending the famous result of the second author, \textit{P. Erdős} and \textit{S. Kakutani} [Bull. Res. Council Israel, Sect. F 3, 364--371 (1954)] on the existence of \(n\)-multiple points for plane Brownian motion \(Z\), the authors proved that a.s. for all natural \(n\in Z\) admits strictly \(n\)-multiple points. A point \(x\) is called strictly \(n\)-multiple if \(\operatorname{Card} Z^{-1}(x)=n\).
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inverse image
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existence of n-multiple points
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plane Brownian motion
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