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 2023Show all

2 papers · 1 filter

math.DS2023

Renormalization and scaling of bubbles

Nataliya Goncharuk, Igors Gorbovickis

The paper explores scaling properties of bubbles -- a complex analogue of Arnold tongues, associated to a one-dimensional family of analytic circle diffeomorphisms. Bubbles are smo…

math.DS2023

Entire maps with rational preperiodic points and multipliers

Xavier Buff, Igors Gorbovickis, Valentin Huguin

Given a number field $K \subset C$ that is not contained in $R$ , we prove the existence of a dense set of entire maps $f \colon \mathbb{C} \rightarrow \m…