학술논문

The W. Thurston Algorithm for Real Quadratic Rational Maps
Document Type
Working Paper
Source
Conformal Geometry and Dynamics, vol 25. pp 179-199 (2021)
Subject
Mathematics - Dynamical Systems
37B40, 37E05, 37E10, 37F10, 37F20
Language
Abstract
A study of real quadratic maps with real critical points, emphasizing the effective construction of critically finite maps with specified combinatorics. We discuss the behavior of the Thurston algorithm in obstructed cases, and in one exceptional badly behaved case, and provide a new description of the appropriate moduli spaces. There is also an application to topological entropy.
Comment: 141 figures, 67 pages