The authors construct (∞:∞) holomorphic correspondences mating transcendental entire maps with Fuchsian groups, realized as deleted covering correspondences of meromorphic functions with one simple pole.
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Set maps on vertex groups induce functorial homomorphisms between kernels of graph products to their direct products.
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Transcendental correspondences: when Fuchsian groups take over basins of entire maps
The authors construct (∞:∞) holomorphic correspondences mating transcendental entire maps with Fuchsian groups, realized as deleted covering correspondences of meromorphic functions with one simple pole.
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Universal Structure of Graph Product Kernels
Set maps on vertex groups induce functorial homomorphisms between kernels of graph products to their direct products.