Expectations on fractal sets

@article{Bailey2013ExpectationsOF,
  title={Expectations on fractal sets},
  author={David H. Bailey and Jonathan M. Borwein and Richard E. Crandall and Michael G. Rose},
  journal={Applied Mathematics and Computation},
  year={2013},
  volume={220},
  pages={695-721}
}
Using fractal self-similarity and functional-expectation relations, the classical theory of box integrals—being expectations on unit hypercubes—is extended to a class of fractal “string-generated Cantor sets” (SCSs) embedded in unit hypercubes of arbitrary dimension. Motivated by laboratory studies on the distribution of brain synapses, these SCSs were… CONTINUE READING