Research
Papers & Preprints
Original research in dynamical systems, stochastic analysis, fractal geometry, and their applications to finance and AI.
2026
Liminal Motion — Deterministic Microstructure beneath Brownian Noise
A deterministic process from backward iteration on Julia sets whose partial sums couple to Brownian motion via the ASIP. Includes the Lévy area formula E12 = Im(c)/2, seven algebraic constructions producing exact Brownian motion (Brownian completeness), and seven reverse constructions. All proofs included.