He has also published these scientific papers: "Existence and Uniqueness of Orbital Measures", "Theory and Applications of Fractal Tops", "A Fractal Valued Random Iteration Algorithm and Fractal Hierarchy", "V-variable fractals and superfractals", "Fractal Transformations" and "Ergodic Theory, Fractal Tops and Colour Stealing".
Iterated Systems was initially devoted to fractal image compression (epitomised by the Barnsley fern), and later focused on image archive management and was renamed to MediaBin. It was acquired in 2003 by Interwoven, by which time Barnsley was no longer affiliated with the company.