Estimating the Characteristic E X P O N E N T S of Polynomials
نویسندگان
چکیده
1. We consider a polynomial f of degree d _> 2, and we denote its n-th iteration by fn . The results of the theory of iterations that are used in the present article may be found in [1, 2]. A root of the equation f n z = z is called a periodic point (with period n). The quantity X(z) = ~ log I(f~)'(z)l is the characteristic exponent of this point. When the Julia set of the polynomial f is connected, we have
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