Geometric Tracking of the Dominant Transient Pocket via the Near-Stagnation Contour α ≈ Re(ue^{-u})
Abstract
Research Note 5 in the "Geometry of the Critical Line" programme. The dominant transient pocket of the Ulam-Galerkin approximation to the Perron-Frobenius operator for the Newton map C_alpha(z) = z - exp(-alpha/z) is empirically observed to behave as a geometrically tracked near-stagnation object. Across the sampled range 0.38
Fields of Study & Subjects
Control and Stability of Dynamical Systems
Contact Mechanics and Variational Inequalities
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 17 March 2026
- Language
- EN
- Document type
- Preprint