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References
H. Brolin, “Invariant sets under iteration of rational functions,” Ark. Mat.,6, 103–144 (1965).
A. É. Eremenko andM. Yu. Lyubich, “The dynamics of analytic transformations” Algebra i Analiz,1, No. 3, 1–70 (1989).
A. É. Eremenko andG. M. Levin, “On the periodic points of polynomials,” Ukr. Mat. Zhurn.,41 No. 11, 1467–1471 (1989).
W. Hyman andP. Kennedy,Subharmonic Functions [Russian translation], Moscow (1980).
M. Essen,The cos π λ Theorem, Springer-Verlag, 1975.
A. É. Eremenko, M. L. Sodin, andD. F. Shua, “On the minmum modulus of an entire function on a sequence of Polya peaks,” Teoriya Funktsii, Funktsional. Analiz, i Ikh Prilozh., No. 45, 26–40 (1986).
I. V. Ostrovskii, “On some asymptotic properties of entire functions with real negative zeros,” Uch. Zap. Khar'k. Univ.,120, 23–32 (1986).
A. Douady andJ. Hubbard, “Etude dinamique des polynômes complexes,” Publ. Math. d'Orsay, 1984-02, 1985-02.
D. Drasin andD. Shea, “Polya peaks and oscillation of positive functions,” Proc. Am. Math. Soc.,34, 403–411 (1972).
A. Baernstein, “Proof of Edrei's spread conjecture,” Proc. London Math. Soc.,26, 418–419 (1973).
J. M. Anderson andA. Baernstein, “The size of the set on which a meromorphic function is large,” Proc. London Math. Soc.,26, 518–539 (1978).
L. Ahlfors,Conformal Invariants, McGraw-Hill, New York (1973).
R. Bowen, “Hausdorff dimension of quasi-circles,” Publ. Math. IHES,50, 259–273 (1979).
D. Ruelle, “Repellers for real analytic maps,” Ergodic Theory and Dynamical Systems,2, No. 1, 99–107 (1982).
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Translated fromTeoriya Funktsii, Funktsional'nyi Analiz, i Ikh Prilozheniya, Vol. 58, pp. 30–40, 1993.
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Eremenko, A.É., Levin, G.M. Estimating the characteristic exponents of polynomials. J Math Sci 85, 2164–2171 (1997). https://doi.org/10.1007/BF02355764
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DOI: https://doi.org/10.1007/BF02355764