Dzmitry Dudko

most citedA canonical decomposition of postcritically finite rational maps and their maximal expanding quotients

1 citations · 1 across the 1 of their papers we have counts for

collaborators

2 papers

math.DS2022★ 1 cited

A canonical decomposition of postcritically finite rational maps and their maximal expanding quotients

Dzmitry Dudko, Mikhail Hlushchanka, Dierk Schleicher

We provide a natural canonical decomposition of postcritically finite rational maps with non-empty Fatou sets based on the topological structure of their Julia sets. The building b…

math.GR2018

Algorithmic aspects of branched coverings III/V. Erasing maps, orbispaces, and the Birman exact sequence

Laurent Bartholdi, Dzmitry Dudko

Let $f ~ : (S^{2}, A ~) \to (S^{2}, A ~)$ be a Thurston map and let $M (f ~)$ be its mapping class biset: isotopy classes rel $A ~$ of maps obtained by pre- and…