Monotonicity properties of hyperbolic projections in holomorphic iteration
Abstract
We consider hyperbolic projections of orbits of holomorphic self-maps of the unit disc, onto curves landing on the unit circle with a given angle. We show that under certain necessary assumptions, the projections exhibit monotonicity properties akin to those present in continuous dynamics. Our techniques are purely hyperbolic-geometric in nature and provide the general framework for analysing projections of arbitrary sequences onto curves.
Fields of Study & Subjects
Iterative Methods for Nonlinear Equations
Functional Equations Stability Results
Mathematical and Theoretical Analysis
Publication details
- Journal / source
- Revista Matemática Iberoamericana
- Volume
- 42
- Issue
- 5
- Pages
- 1783–1808
- Publication date
- 9 June 2026
- Language
- EN