ordinal-patterns

Estimators for probabilities, entropies, and other complexity measures derived from data in the context of nonlinear dynamics and complex systems

MATLAB script for efficiently computing values of permutation entropy from 1D time series in sliding windows

Lean 4 + Mathlib proof of Takens' theorem for generic pairs: C² delay embeddings with 2d+1 coordinates are open and dense in Diff²(M) × C²(M, ℝ). Also finite-regularity Sard. No sorry.

Systemic Tau and the Discrete Extramental Clock (RECD) for ordinal multivariate time-series analysis.

Nested ordinal RECD: Φ1–Φ3 conjunction levels and λ-weighted Discrete Extramental Clock

CCTP/SDDB: Systemic Tau and ordinal RECD before spontaneous VF — analysis code for the Holter manuscript

Machine-verifiable Systemic Tau (τₛ) + RECD: Lean 4, Python reference, falsifiable predictions

Tau Sistémico y patrones ordinales multivariados para la detección temprana de brotes de dengue: evidencia en datos reales de Iquitos y San Juan (snapshot final_v1 reproducible)

excess³: pre-specified continuous proxy for order-3 synergistic surplus — methods, Spanish intro, and cross-disciplinary guide

Exact decomposition of absolute concordance change into signed Systemic Tau and a cancellation index.

Cancellation channel beside signed Systemic Tau. D = |mean change| + C. Note: https://doi.org/10.5281/zenodo.23073069

Systemic Tau and Hierarchical Ordinal Conjunctions: foundations paper + formal notes (RECD)

Φ₃ (excess³) → RECD Dynamic Integration: bilingual preprint v0.5 + clock-map package (P1 Γ₃ default, hardened A₃, P2 experimental)