toeplitz-matrices

A package for Random Matrix Theory

Implementation of Linear Prediction Coding (LPC) for speech signal analysis, including LPC reconstruction, prediction error, autocorrelation recovery, Levinson-Durbin recursion, and comparison of Autocorrelation and Covariance methods.

Fun Matlab exercise by our teacher at CEID.

Rigorous, reproducible study of the large-wave effect on discrete rings: the peak grows like (1/π)·ln N and saturates exactly for prime and power-of-two N — with an exact-arithmetic & formally-verified layer (GAP · PARI/GP · FriCAS · Rocq).

Toeplitz determinantal formula for tetraquadric Calabi-Yau cohomology jumping with reproducible finite-field checks.

Preconditioner for unilevel Toeplitz systems

Paper II of "Statistical Pharmacology via Kakutani Dichotomy": the correlated Kakutani index (CKI), the 99.95% covariance dominance theorem (Szego rate in closed form) and spectral fingerprints of cryptic allostery. Paper (LaTeX/PDF), reproducible Python code, data and figures. DOI 10.5281/zenodo.23012217

University Project for core course Scientific Computing

Counting k-bounded functions on [n]

Python implementation of computational algebra algorithms, focusing on Finite Fields ($F_p, F_q$) and polynomial factorization. Final project for Computational Algebra.