Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds
We obtain an analog of the prime number theorem for a class of branched covering maps on
the 2-sphere S 2 called expanding Thurston maps, which are topological models of some …
the 2-sphere S 2 called expanding Thurston maps, which are topological models of some …
Prime orbit theorems for expanding Thurston maps: Lattes maps and split Ruelle operators
We obtain an analog of the prime number theorem for a class of branched covering maps on
the 2-sphere S 2 called expanding Thurston maps, which are topological models of some …
the 2-sphere S 2 called expanding Thurston maps, which are topological models of some …
Ground states and periodic orbits for expanding Thurston maps
Z Li, Y Zhang - Mathematische Annalen, 2024 - Springer
Expanding Thurston maps form a class of branched covering maps on the topological 2-
sphere S 2, which are topological models of some non-uniformly expanding rational maps …
sphere S 2, which are topological models of some non-uniformly expanding rational maps …
Invariant graphs in Julia sets and decompositions of rational maps
G Cui, Y Gao, J Zeng - arxiv preprint arxiv:2408.12371, 2024 - arxiv.org
In this paper, we prove that for any post-critically finite rational map $ f $ on the Riemann
sphere $\overline {\mathbb {C}} $ and for each sufficiently large integer $ n $, there exists a …
sphere $\overline {\mathbb {C}} $ and for each sufficiently large integer $ n $, there exists a …