A partial description of the parameter space of rational maps of degree two: Part 2
Mary Rees
Abstract
This continues the investigation of a combinatorial model for the variation of dynamics in the family of rational maps of degree two, by concentrating on those varieties in which one critical point is periodic. We prove some general results about nonrational critically finite degree two branched coverings, and finally identify the boundary of the rational maps in the combinatorial model, thus completing the proofs of results announced in Part 1.
Create a lesson
Related papers
GPU-Accelerated Orbit Propagation with High-Fidelity Solar Radiation Pressure Modeling
Leandro Zardaín, Ariadna Farrés, Anna Puig et al.
A three-dimensional corner configuration involving the Omega function
Zhuowen Guo, Rongzhong Xiao, Shuhao Zhang
Hereditary Lowerability of Topological Dynamical Systems
Xiaochen Wang
A generalized push-forward construction of Sinai-Ruelle-Bowen measures
Grigorii Dvorkin
Orbital counting for relatively Anosov groups
Richard Canary, Tengren Zhang, Feng Zhu et al.
Verifiable Regularity Criterion for Conditional Expectation Operators and Conditional Mean Embeddings with Applications to Nonparametric Regression, Bayesian Inverse Problems, and Koopman Operators
Maximiliano Hertel, Ilja Klebanov, Manuel Schaller et al.