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 2015Show all

2 papers · 1 filter

math.MG2015

The central set and its application to the Kneser-Poulsen conjecture

Igors Gorbovickis

The Kneser-Poulsen conjecture says that if a finite collection of balls in a Euclidean (spherical or hyperbolic) space is rearranged so that the distance between each pair of cente…

math.DS2015

Rigidity, universality,and hyperbolicity of renormalization for critical circle maps with non-integer exponents

Igors Gorbovickis, Michael Yampolsky

We construct a renormalization operator which acts on analytic circle maps whose critical exponent $α$ is not necessarily an odd integer $2 n + 1$ , $n \in N$ . When $α = 2 n + 1$ , our…