On the shape of the connected component of the complement of the plane Brownian path (Q1326298)
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scientific article; zbMATH DE number 569032
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the shape of the connected component of the complement of the plane Brownian path |
scientific article; zbMATH DE number 569032 |
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On the shape of the connected component of the complement of the plane Brownian path (English)
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6 June 1994
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We study the shape of the small connected components of the complement of a 2-dimensional Brownian path. We show the existence of an asymptotic law for this shape. Moreover, we prove a limit theorem that shows that the family of all the connected components of the complement of a single path contains all the information about this law.
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connected components of the complement of a 2-dimensional Brownian path
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limit theorem
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