Igors Gorbovickis

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20102026

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

12 citations · 16 across the 14 of their papers we have counts for

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math.DS2013

Parameterizing degree n polynomials by multipliers of periodic orbits

Igors Gorbovickis

We present the following result: consider the space of complex polynomials of degree n>2 with n-1 distinct marked periodic orbits of given periods. Then this space is irreducible a…

math.DS2013★ 12 cited

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

Igors Gorbovickis

We consider a space of complex polynomials of degree $n \geq 3$ with $n - 1$ distinguished periodic orbits. We prove that the multipliers of these periodic orbits considered as algebra…