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- W2034705943 abstract "Let [Formula: see text] be a family of contractive similitudes satisfying the open set condition. Let ν be a self-similar measure associated with [Formula: see text]. We study the quantization problem for the in-homogeneous self-similar measure μ associated with a condensation system [Formula: see text]. Assuming a version of in-homogeneous open set condition for this system, we prove the existence of the quantization dimension for μ of order r ∈ (0, ∞) and determine its exact value ξ r . The finiteness and positivity of the ξ r -dimensional upper and lower quantization coefficient are also explored." @default.
- W2034705943 created "2016-06-24" @default.
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- W2034705943 date "2015-05-01" @default.
- W2034705943 modified "2023-09-25" @default.
- W2034705943 title "The quantization for in-homogeneous self-similar measures with in-homogeneous open set condition" @default.
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- W2034705943 doi "https://doi.org/10.1142/s0129167x15500305" @default.
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