5 citations · 9 across the 3 of their papers we have counts for
3 papers
Self-referential Functions
Michael Barnsley, Markus Hegland, Peter Massopust
We introduce the concept of fractels for functions and discuss their analytic and algebraic properties. We also consider the representation of polynomials and analytic functions us…
Conjugacies provided by fractal transformations I : Conjugate measures, Hilbert spaces, orthogonal expansions, and flows, on self-referential spaces
Christoph Bandt, Michael Barnsley, Markus Hegland +1
Theorems and explicit examples are used to show how transformations between self-similar sets (general sense) may be continuous almost everywhere with respect to stationary measure…
Scalable and Fault Tolerant Computation with the Sparse Grid Combination Technique
Brendan Harding, Markus Hegland, Jay Larson +1
This paper continues to develop a fault tolerant extension of the sparse grid combination technique recently proposed in [B. Harding and M. Hegland, ANZIAM J., 54 (CTAC2012), pp. C…