| _version_ | 1866902060890324992 |
|---|---|
| author | Esposito, Giovanni |
| author_facet | Esposito, Giovanni |
| contents | <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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17453786 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Topological Data Analysis Reveals Low-Dimensional Deterministic Structure in KIC 8462852 Dimming Events Esposito, Giovanni 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 <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> |
| title | Topological Data Analysis Reveals Low-Dimensional Deterministic Structure in KIC 8462852 Dimming Events |
| topic | 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 |
| url | https://doi.org/10.5281/zenodo.17453786 |