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arXiv · 1305.0867

Algebraic independence of multipliers of periodic orbits in the space of polynomial maps of one variable

Igors Gorbovickis
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Abstract

We consider a space of complex polynomials of degree $n\ge 3$ with $n-1$ distinguished periodic orbits. We prove that the multipliers of these periodic orbits considered as algebraic functions on that space, are algebraically independent over the field of complex numbers.

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Igors Gorbovickis. 2013-05-04. Algebraic independence of multipliers of periodic orbits in the space of polynomial maps of one variable. https://doi.org/10.1017/etds.2014.103

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