18 citations · 63 across the 25 of their papers we have counts for
30 papers
On locally distinguishing Sierpiński dynamical systems
Sergei Merenkov
We prove that there is no local quasiconformal map between the limit set of a convex-cocompact Kleinian group and the Julia set of a postcritically finite rational map, provided th…
Quasiregular maps of Sierpiński carpet Julia sets
Sergei Merenkov, Letian Shen
We prove that if and are postcritically finite rational maps whose Julia sets , respectively, are Sierpiński carpets, and if is a quasir…
Carathéodory convergence and the conformal type problem
Alexandre Eremenko, Sergei Merenkov
We study Carathéodory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the confor…
On a question of Kwakkel and Markovic on existence of wandering domains with bounded geometry
Sergei Merenkov
A question of F. Kwakkel and V. Markovic on existence of C^1-diffeomorphisms of closed surfaces that permute a dense collection of domains with bounded geometry is answered in the…
On -odometers associated to integer matrices
Sergei Merenkov, Maria Sabitova
We extend the results of T. Giordano, I. F. Putnam, C. F. Skau contained in ``-odometers and cohomology", Groups Geom. Dyn. 13 (2019), no. 3, P. 909-938, on characteri…
No bounded geometry wandering domains for sufficiently regular automorphisms
Sergei Merenkov
A question whether sufficiently regular manifold automorphisms may have wandering domains with controlled geometry is answered in the negative for quasiconformal or smooth homeomor…