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math.DS2022
Critically fixed Thurston maps: classification, recognition, and twisting
Mikhail Hlushchanka, Nikolai Prochorov
An orientation-preserving branched covering map is called a critically fixed Thurston map if fixes each of its critical points. It was recently shown that…
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…