Reading this book currently (ref. 1) , eyeing application in the lottery (possibly) as the (ref. 3) points out:
"Areas of potential applications include computer graphics and rapid simulation of trajectories of stochastic processes The forward algorithm also enables rapid computation of good approximations to random (including “fully” random) processes, where previously there was no available efficient algorithm. "
In a similar venue of Monte Carlo methods, Superfractals promise to venture into areas where deterministic algorithms can not.
This book (ideas therein) is by far one of the most advanced on the topic. Fractals themselves emerge from set of deterministic rules (at least initially) but are supplemented by set of indeterministic cooefficients that set initial random trajectories and by the means of IFS (IFS - Iterated Function System) for the evolution to eventually emerge in some global symmetrical patterns.
Superfractals are new families of random fractals which are intermediate between the notions of deterministic and of standard random fractals and as such allow new type of sampling of the IFS evolution.
If it all sounds sophisticated, it is, ideas set forward in this book are already reverbarating cross multi-disciplinary sciences starting from bio-physics/ cosmology (ie. galaxy formations) / financial modeling / to number and game theory.
It is my intention to eventually engage this theory (not just in lottery actually) to study random systems in general.
1. Superfractals - book by Michael Fielding Barnsley
2. Superfractals - website
3. Superfractals - more detailed technical information - A FRACTAL VALUE RANDOM ITERATION ALGORITHM AND FRACTAL HIERARCHY - MICHAEL BARNSLEY, JOHN HUTCHINSON, AND ÖRJAN STENFLO