States spaces of the snake and its tour: Convergence of the discrete snake (Q1426861)
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scientific article; zbMATH DE number 2057330
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | States spaces of the snake and its tour: Convergence of the discrete snake |
scientific article; zbMATH DE number 2057330 |
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States spaces of the snake and its tour: Convergence of the discrete snake (English)
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15 March 2004
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The state space of the Brownian snake and that of its tour are homeomorphic. The tour of the discrete snake built on a geometrical Galton-Watson tree of size \(n\) converges weakly to the tour of the Brownian snake. This leads to weak convergence of the discrete snake to the Brownian snake. The ``geometric width'' of the discrete snake also converges weakly to the geometric width of Brownian snake.
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Galton-Watson tree
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Brownian snake
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weak convergence
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0.93797815
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0.8044403
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0.7913453
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0.7911372
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0.7905435
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