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Hlavní autor: Esposito, Giovanni
Médium: Recurso digital
Jazyk:
Vydáno: Zenodo 2025
Témata:
Topological Data Analysis, Nonlinear Dynamics, KIC 8462852, Tabby's Star, IAAFT Surrogates, Persistent Homology, Transfer Entropy, Wavelet Coherence, Correlation Dimension, Lyapunov Exponent, Quasi-periodicity, Kepler Mission, TESS Mission, Astronomical Time Series, Deterministic Chaos, ψ-GIE Framework, Memory–Time Crystal, Geometric Information Engine, Non-stochastic Structure, Low-dimensional Attractor
Astrophysics → Stellar Variability and Activity • Nonlinear Sciences → Dynamical Systems Secondary Disciplines: • Computational Physics → Data Analysis and Simulation • Applied Mathematics → Topology and Geometry • Artificial Intelligence → Complex Systems Modeling • Information Theory → Causality and Entropy
On-line přístup:https://doi.org/10.5281/zenodo.17453786
Tagy: Přidat tag
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Obsah:
  • <p>This archive contains the complete, reproducible research package for:</p> <p>“Topological Data Analysis Reveals Low-Dimensional Deterministic Structure in KIC 8462852 Dimming Events.”</p> <p>The study introduces and verifies a rigorous methodology combining Topological Data Analysis (TDA), Iterative Amplitude Adjusted Fourier Transform (IAAFT) surrogate testing, and Transfer Entropy (TE) to detect nonlinear, low-dimensional geometric structure in complex astrophysical time series. Applying this framework to Kepler and K2 light-curve data of KIC 8462852 (“Tabby’s Star”), the analysis reveals statistically significant, non-stochastic topological persistence features (H₁ > 0, p < 0.01) consistent with deterministic dynamics rather than noise or instrumental artifacts.</p>

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