Coherent-Structure Eigenmodes of the Twisted Bird-Map Ulam Transfer Operator Occupy a Numerical Killing Zone: Two-Axis Calibration Against Ocean and Double-Gyre Controls (Paper 58 in the Non-Holomorphic Fractal Series)

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Abstract

This preprint is part of the Non-Holomorphic Fractal Series (Paper 58). All numerical claims are finite-grid and are derived from seven CSV files stored locally in the author's Linux environment: paper58_killzone_summary.csv, paper58_scan_summary.csv, paper58_doublegyre_precisionscan.csv, paper58_leftgeomscan_doublegyre.csv, paper58_doublegyre_joint_scan.csv, paper58_agulhas_joint_scan.csv, paper58_bird_joint_scan.csv. Every count and threshold in the paper is directly traceable to these files. Researchers who wish to inspect the CSVs are welcome to contact the author. On the finite N × N column-stochastic Ulam transfer matrices derived from the twisted Bird map at ε = 0.70, N = 16384 (WBA and Lorentzian…

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Topics & keywords

Keywords
  • Operator (biology)
  • Fractal
  • Observable
  • Eigenvalues and eigenvectors
  • Transfer operator
  • Series (stratigraphy)
  • Property (philosophy)
UN Sustainable Development Goals
  • Life below water
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