Characteristic Exponents of Rational Functions

• Autorzy: Zdunik A.

Identyfikatory

DOI

10.4064/ba62-3-6

• Języki publikacji: EN

Abstrakty

EN

We consider two characteristic exponents of a rational function f:Ĉ→ Ĉ of degree d≥2. The exponent χ_a(f) is the average of log∥f’∥ with respect to the measure of maximal entropy. The exponent χ_m(f) can be defined as the maximal characteristic exponent over all periodic orbits of f. We prove that χ_a(f) = χ_m(f) if and only if f(z) is conformally conjugate to z↦z^±d.

Słowa kluczowe

EN

rational maps; characteristic exponents

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: Vol. 62, no. 3
• Strony: 257--263
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Zdunik A.

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

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