Constructing Operational Depth: A Class of Marginally Stable Operators with Persistent Informational Influence
Abstract
This paper constructs and analyzes the Unimodular Lyapunov-Null (ULN) class of dynamical operators and proves that marginal stability combined with volume preservation and non-mixing dynamics is sufficient to sustain persistent informational influence under stochastic perturbations.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Complex Systems and Dynamics
Control and Stability of Dynamical Systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 February 2026
- Document type
- Preprint