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 2026Show all

3 papers · 1 filter

math.DS2026

Renormalization and rigidity of analytic non-linear interval exchange transformations

Nataliya Goncharuk, Igors Gorbovickis, Michael Yampolsky

We construct hyperbolic renormalization horseshoes for analytic generalized interval exchange transformations (GIETs) of bounded type and with bounded geometry, provided their boun…

math.DS2026

Hyperbolicity of renormalization for maps with multiple breaks

Nataliya Goncharuk, Igors Gorbovickis, Michael Yampolsky

We construct hyperbolic horseshoes for piecewise-analytic homeomorphisms of the circle with {\it multiple} break-type singularities, under the assumptions of bounded type rotation…

math.DS2026

Independence of multipliers via degenerations of rational maps

Igors Gorbovickis

Using degenerations of rational maps and local asymptotics of periodic multipliers, we prove that for every $d \geq 2$ , the multipliers of any $2 d - 2$ distinct periodic orbits of degr…