Geodesic
Lower quantization coefficient and the $F$-conformal measure
Mrinal Kanti Roychowdhury 1
1 Department of Mathematics The University of Texas-Pan American 1201 West University Drive Edinburg, TX 78539-2999, U.S.A.
Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 255-263 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $F=\{ f^{(i)} : 1\leq i\leq N\}$ be a family of Hölder continuous functions and let $\{\varphi_i : 1 \leq i\leq N\}$ 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.
DOI : 10.4064/cm122-2-11
Keywords: leq leq family lder continuous functions varphi leq leq conformal iterated function system lindsay mauldins paper nonlinearity question whether lower quantization coefficient f conformal measure conformal iterated funcion system satisfying set condition positive question positively answered zhu paper present different proof result

Mrinal Kanti Roychowdhury  1

1 Department of Mathematics The University of Texas-Pan American 1201 West University Drive Edinburg, TX 78539-2999, U.S.A. 
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Mrinal Kanti Roychowdhury. Lower quantization coefficient and the $F$-conformal measure. Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 255-263. doi: 10.4064/cm122-2-11

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