3 papers
math.DS2026
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.DS2024
Finite and infinite degree Thurston maps with extra marked points
Nikolai Prochorov
We investigate the family of marked Thurston maps that are defined everywhere on the topological sphere , potentially excluding at most countable closed set of essential singu…
math.DS2024
Finite and infinite degree Thurston maps with a small postsingular set
Nikolai Prochorov
We develop the theory of Thurston maps that are defined everywhere on the topological sphere with a possible exception of a single essential singularity. We establish an anal…