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Asymptotic order of the geometric mean error for self-affine measures on Bedford-McMullen carpets

By Sanguo Zhu and Shu Zou
Let EE be a Bedford-McMullen carpet associated with a set of affine mappings {fij}(i,j)G\{f_{ij}\}_{(i,j)\in G} and let μ\mu be the self-affine measure associated with {fij}(i,j)G\{f_{ij}\}_{(i,j)\in G} and a probability vector (pij)(i,j)G(p_{ij})_{(i,j)\in G}. We study the asymptotics of the geometric mean error in the quantization for μ\mu. Let s0s_0 be the... Show more
June 9, 2019
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Asymptotic order of the geometric mean error for self-affine measures on Bedford-McMullen carpets
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