A Stable Captured-Share Plateau in Random Operator Mapping

This deposit contains the full preprint and reproducibility materials for the paper “A Stable Captured-Share Plateau in Random Operator Mapping.” The work investigates covariance-induced mapping in random operator ensembles and demonstrates a stable captured-share plateau across GOE, GUE, and Bernoulli matrices, including a high-resolution N = 128 deep run.

The repository includes:

• The complete manuscript (PDF)

• The Google Colab notebook used for all experiments (mapping_069_experiments.ipynb)

• A flattened Python script for offline execution (mapping_069_experiments.py)

• High-resolution figures used in the paper

• Supplemental configuration notes and reproducibility details

All experiments are fully reproducible by running the notebook from top to bottom. The results include gate thresholds, captured-share statistics, ensemble comparisons, and the Random-Q surrogate baseline. The OSF companion archive contains the same materials with version tracking.

This Zenodo release serves as the permanent DOI-linked record for citation, review, and future journal submission.