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 2020Show all

2 papers · 1 filter

math.DS2020

Accumulation set 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.DS2020

Complex a priori bounds for Lorenz maps

Denis Gaidashev, Igors Gorbovickis

We construct complex a-priori bounds for certain infinitely renormalizable Lorenz maps. As a corollary, we show that renormalization is a real-analytic operator on the correspondin…