Projects

Phase portrait of the Chua circuit's double-scroll chaotic attractor

Chua-Circuit

Numerical and analytical study of the Chua circuit's chaotic dynamics. Studies equilibrium points and local stability via linearization, plus Runge-Kutta, Taylor, and Adams-Bashforth/Moulton integrators compared by truncation error.

Python · SageMath

Simulated mid-price path with Avellaneda-Stoikov bid/ask quotes skewing around it

as-mm-monte-carlo

Monte Carlo backtester for an Avellaneda-Stoikov market maker. An algorithm that profits from the small gap between buy and sell prices. Tests whether adjusting those prices based on how much you're currently holding helps limit losses when the market swings, through thousands of simulated runs.

Python · NumPy · Hypothesis