Exact convergence order of the Lr-quantization error for Markov-type measures

Sanguo Zhu, Youming Zhou and Yongjian Sheng

Chaos, Solitons & Fractals, 2017, vol. 98, issue C, 152-157

Abstract: Let E be a graph-directed set associated with a di-graph G. Let μ be a Markov-type measure on E. Assuming a separation condition for E, we determine the exact convergence order of the Lr-quantization error for μ. This result provides us with accurate information on the asymptotics of the quantization error, especially when the quantization coefficient is infinite.

Keywords: Markov-type measures; Graph directed fractals; Quantization error; Convergence order; Reducible transition matrix (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:98:y:2017:i:c:p:152-157

DOI: 10.1016/j.chaos.2017.03.020

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