Igors Gorbovickis

most citedEquidistribution of critical points of the multipliers in the quadratic family

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

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…

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…