Work

The Sullivan dictionary and Bowen–Series maps

Year: 2023

Type: article

Abstract: 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.

Source: EMS Surveys in Mathematical Sciences

DOI: 10.4171/emss/70

Authors: Mahan Mj, Sabyasachi Mukherjee

Institution: Tata Institute of Fundamental Research

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Department of Atomic Energy, Government of India, Infosys Foundation, Science and Engineering Research Board

Awards: G7477203976, G7938770945