Open Access
Nov. 2003 On the existence of conformal measures supported on conical points
Zhiyong Huang, Yuefei Wang
Proc. Japan Acad. Ser. A Math. Sci. 79(9): 154-157 (Nov. 2003). DOI: 10.3792/pjaa.79.154

Abstract

In this paper, we shall prove the existence of a $t$-conformal measure supported on conical points for a rational map $T$ whose critical points in its Julia set are recurrent. In particular, there always exists a $t$-conformal measure supported on conical points for the polynomial $T(z) = z^d + c$.

Citation

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Zhiyong Huang. Yuefei Wang. "On the existence of conformal measures supported on conical points." Proc. Japan Acad. Ser. A Math. Sci. 79 (9) 154 - 157, Nov. 2003. https://doi.org/10.3792/pjaa.79.154

Information

Published: Nov. 2003
First available in Project Euclid: 21 June 2005

zbMATH: 1045.37029
MathSciNet: MR2022060
Digital Object Identifier: 10.3792/pjaa.79.154

Subjects:
Primary: 58F23
Secondary: 37F35

Keywords: conformal measure , conical point , critical point , Julia set

Rights: Copyright © 2003 The Japan Academy

Vol.79 • No. 9 • Nov. 2003
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