Igors Gorbovickis

activity

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

collaborators

Showing 2019Show all

2 papers · 1 filter

math.DS2019★ 1 cited

Equidistribution of critical points of the multipliers in the quadratic family

Tanya Firsova, Igors Gorbovickis

A parameter $c_{0} \in C$ in the family of quadratic polynomials $f_{c} (z) = z^{2} + c$ is a critical point of a period $n$ multiplier, if the map $f_{c_{0}}$ has a periodic orbit of per…

math.DS2019

Critical points of the multiplier map for the quadratic family

Anna Belova, Igors Gorbovickis

The multiplier $λ_{n}$ of a periodic orbit of period $n$ can be viewed as a (multiple-valued) algebraic function on the space of all complex quadratic polynomials $p_{c} (z) = z^{2} + c$ . We…