39 citations · 43 across the 6 of their papers we have counts for
9 papers
Lavaurs algorithm for cubic symmetric polynomials
Alexander Blokh, Lex G. Oversteegen, Nikita Selinger +2
To investigate the degree connectedness locus, Thurston studied \emph{-invariant laminations}, where is the -tupling map on the unit circle, and built a topologic…
Symmetric Cubic Laminations
Alexander Blokh, Lex Oversteegen, Nikita Selinger +2
To investigate the degree connectedness locus, Thur\-ston studied \emph{-invariant laminations}, where is the -tupling map on the unit circle, and built a topolog…
Centralizers in Mapping Class Group and decidability of Thurston Equivalence
Kasra Rafi, Nikita Selinger, Michael Yampolsky
We find a constructive bound for the word length of a generating set for the centralizer of an element of the Mapping Class Group. As a consequence, we show that it is algorithmica…
Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters
Dzmitry Dudko, Mikhail Lyubich, Nikita Selinger
In the 1980s Branner and Douady discovered a surgery relating various limbs of the Mandelbrot set. We put this surgery in the framework of "Pacman Renormalization Theory" that comb…
On deformation spaces of quadratic rational maps
Tanya Firsova, Jeremy Kahn, Nikita Selinger
We study the group of self-equivalences of a partially postcritically finite branched cover and answer a question of Adam Epstein about contractibility of certain deformation space…
Constructive geometrization of Thurston maps and decidability of Thurston equivalence
Nikita Selinger, Michael Yampolsky
The key result in the present paper is a direct analogue of the celebrated Thurston's Theorem for marked Thurston maps with parabolic orbifolds. Combining this result with previous…
Pullback invariants of Thurston maps
Sarah Koch, Kevin M. Pilgrim, Nikita Selinger
Associated to a Thurston map with postcritical set are several different invariants obtained via pullback: a relation on the set of free homotopy classes of cu…
Topological characterization of canonical Thurston obstructions
Nikita Selinger
Let f be an obstructed Thurston map with canonical obstruction Γ_f. We prove the following generalization of Pilgrim's conjecture: if the first-return map F of a periodic component…
Thurston's pullback map on the augmented Teichmüller space and applications
Nikita Selinger
Let be a postcritically finite branched self-cover of a 2-dimensional topological sphere. Such a map induces an analytic self-map of a finite-dimensional Teichmüller spac…