Lower quantization coefficient and the F-conformal measure

Mrinal Kanti Roychowdhury. "Lower quantization coefficient and the F-conformal measure." Colloquium Mathematicae 122.2 (2011): 255-263. <http://eudml.org/doc/283905>.

@article{MrinalKantiRoychowdhury2011,
abstract = {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.},
author = {Mrinal Kanti Roychowdhury},
journal = {Colloquium Mathematicae},
keywords = {quantization coefficient; conformal iterated function system},
language = {eng},
number = {2},
pages = {255-263},
title = {Lower quantization coefficient and the F-conformal measure},
url = {http://eudml.org/doc/283905},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Mrinal Kanti Roychowdhury
TI - Lower quantization coefficient and the F-conformal measure
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 255
EP - 263
AB - 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.
LA - eng
KW - quantization coefficient; conformal iterated function system
UR - http://eudml.org/doc/283905
ER -