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Error estimates in a calculation of ruelle

Authors :
I. N. Baker
G.M. Stallard
Source :
Complex Variables, Theory and Application: An International Journal. 29:141-159
Publication Year :
1996
Publisher :
Informa UK Limited, 1996.

Abstract

We consider polynomials of the form , where q ≤ 2 and show that, for . the Hausdorff dimension of the Julia set of such a polynomial satisfics where . This enables is to obtain an explict value for a bound given by Eremenko for the growth of the mean spherical derivative of a polynomial.

Details

ISSN :
15635066 and 02781077
Volume :
29
Database :
OpenAIRE
Journal :
Complex Variables, Theory and Application: An International Journal
Accession number :
edsair.doi...........a394dd7f76782842aacf955715a0b401