Random parking, Euclidean functionals, and rubber elasticity (Q356685)
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scientific article; zbMATH DE number 6192120
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random parking, Euclidean functionals, and rubber elasticity |
scientific article; zbMATH DE number 6192120 |
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Random parking, Euclidean functionals, and rubber elasticity (English)
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26 July 2013
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Random parking (also known as random sequential adsorption) refers to a model in which open balls of a given radius arrive sequentially and uniformly at random in a cube, subject to non-overlap until saturation occurs. One first generalizes the model to local subadditive functions, obtaining so a general result on the averaged density of packed balls, which is then applied to classical Euclidean optimization problems on the random parking measure. Finally, one applies this study to a model for rubber previously proposed by one of the authors.
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random parking
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subadditive ergodic theorem
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rubber elasticity
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thermodynamic limit
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