Two theorems and one proof by Dennis Sullivan

Authors

Keywords:

holomorphic dynamics, rational transformation, wandering domain, Kleinian group, Riemann surface.

Abstract

In 1983, Dennis Sullivan solved a problem in holomorphic dynamics concerning rational maps of the Riemann sphere, which remained unsolved for more than 60 years. Using the same techniques, he provided a new proof for a theorem on Kleinian groups due to Ahlfors. This initiated a period of intense activity and interaction between both areas.

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How to Cite

Fagella, N., & Porti, J. (2024). Two theorems and one proof by Dennis Sullivan. Butlletí De La Societat Catalana De Matemàtiques, 38(2), 143–164. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/154174

Issue

Vol. 38 No. 2 (2023)

Section

Articles

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