The local dimension of invariant sets caused by a class of nonlinear contraction mappings (Q2741580)
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scientific article; zbMATH DE number 1649204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The local dimension of invariant sets caused by a class of nonlinear contraction mappings |
scientific article; zbMATH DE number 1649204 |
Statements
18 June 2002
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open set condition
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invariant set
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local measure
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The local dimension of invariant sets caused by a class of nonlinear contraction mappings (English)
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In this paper, the authors consider the local dimension of invariant sets of a very special family of nonlinear contraction mappings, which are twice differentiable and satisfy the open set condition. They give a condition for the local dimension of some Borel measures supported by the invariant sets.
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