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| Формат: | Recurso digital |
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| Опубліковано: |
Zenodo
2026
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| Онлайн доступ: | https://doi.org/10.5281/zenodo.20042763 |
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| _version_ | 1866901389862502400 |
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| author | Nazarenko, Mikhail |
| author_facet | Nazarenko, Mikhail |
| contents | <p>This paper presents a reproducible statistical, signalprocessing, and computational-engineering framework for testing astronomically correlated recurrence of histogram forms in random event sequences. The measured process is decomposed into a locally stochastic component, a macroscopic histogramform component, and residual noise. The elementary events remain locally stochastic, while the normalized histogram form over a finite observation window is treated as the tested macroscopic observable. The framework separates the histogram-shape hypothesis from the decay-rate-variation hypothesis, defines the astronomical state vector, formalizes Earth Mover’s Distance, Wavelet Earth Mover’s Distance, normalized Euclidean distance, correlation distance, mirror-correlation score, composite shape distance, surrogate-data null models, permutation baselines, false-discovery-rate control, signal-to-noise requirements, Cramer-Rao identifiability bounds, computational complexity, distributed streaming architecture, hardware-agnostic crossvalidation, cryptographic data provenance, and reproducibility requirements. The formulation is falsifiable and does not claim proof of a physical mechanism.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20042763 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Astronomically Correlated Recurrence of Histogram Forms in Random Event Sequences Nazarenko, Mikhail <p>This paper presents a reproducible statistical, signalprocessing, and computational-engineering framework for testing astronomically correlated recurrence of histogram forms in random event sequences. The measured process is decomposed into a locally stochastic component, a macroscopic histogramform component, and residual noise. The elementary events remain locally stochastic, while the normalized histogram form over a finite observation window is treated as the tested macroscopic observable. The framework separates the histogram-shape hypothesis from the decay-rate-variation hypothesis, defines the astronomical state vector, formalizes Earth Mover’s Distance, Wavelet Earth Mover’s Distance, normalized Euclidean distance, correlation distance, mirror-correlation score, composite shape distance, surrogate-data null models, permutation baselines, false-discovery-rate control, signal-to-noise requirements, Cramer-Rao identifiability bounds, computational complexity, distributed streaming architecture, hardware-agnostic crossvalidation, cryptographic data provenance, and reproducibility requirements. The formulation is falsifiable and does not claim proof of a physical mechanism.</p> |
| title | Astronomically Correlated Recurrence of Histogram Forms in Random Event Sequences |
| url | https://doi.org/10.5281/zenodo.20042763 |