Geodesic
The Sullivan dictionary and Bowen–Series maps
Mahan Mj1 ; Sabyasachi Mukherjee1
1Tata Institute of Fundamental Research, Mumbai, India
EMS surveys in mathematical sciences, Tome 10 (2023) no. 1, pp. 179-221

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DOI

The Sullivan dictionary between Kleinian groups and rational dynamics describes striking similarities between the fields, both in terms of the objects of study as well as the techniques used. We give an expository account of a recent bridge between the two sides of the dictionary by describing a framework for combining a Fuchsian group with a complex polynomial into a single dynamical system on the Riemann sphere.
DOI : 10.4171/emss/70
Classification : 37-XX, 30-XX, 57-XX
Mots-clés : Kleinian group, rational map, holomorphic mating

Mahan Mj  1   ; Sabyasachi Mukherjee  1

1 Tata Institute of Fundamental Research, Mumbai, India 
Mahan Mj; Sabyasachi Mukherjee. The Sullivan dictionary and Bowen–Series maps. EMS surveys in mathematical sciences, Tome 10 (2023) no. 1, pp. 179-221. doi: 10.4171/emss/70
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