Lower quantization coefficient and the F-conformal measure

• Autorzy: Mrinal Kanti Roychowdhury
• Języki publikacji: EN

Abstrakty

EN

Let $F = {f^{(i)} : 1 ≤ i ≤ N}$ be a family of Hölder continuous functions and let ${φ_i: 1 ≤ i ≤ N}$ be a conformal iterated function system. Lindsay and Mauldin's paper [Nonlinearity 15 (2002)] left an open question whether the lower quantization coefficient for the F-conformal measure on a conformal iterated funcion system satisfying the open set condition is positive. This question was positively answered by Zhu. The goal of this paper is to present a different proof of this result.

Kategorie tematyczne

• 94A34: Rate-distortion theory
• 28A80: Fractals
• 60Exx: Distribution theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 2
• Strony: 255-263

Daty

wydano

2011

Twórcy

autor

Mrinal Kanti Roychowdhury

• Department of Mathematics, The University of Texas-Pan American, 1201 West University Drive, Edinburg, TX 78539-2999, U.S.A.

Identyfikatory

DOI

10.4064/cm122-2-11