Divergence of shape fluctuations in two dimensions (Q1902938)
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scientific article; zbMATH DE number 823392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Divergence of shape fluctuations in two dimensions |
scientific article; zbMATH DE number 823392 |
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Divergence of shape fluctuations in two dimensions (English)
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26 March 1996
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The authors study some stochastic growth models (mainly three), such as standard first-passage percolation on \(\mathbb{Z}^d\), where to the leading order there is a linearly growing deterministic shape. They prove that for \(d = 2\), the shape fluctuations grow at least logarithmically in all directions. Besides, they also obtain some estimates for the power law.
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stochastic growth models
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first-passage percolation
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shape fluctuations
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0.89942664
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0.89638746
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0.85412204
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0.8498938
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0.8494561
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0.84220433
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