11 citations · 18 across the 13 of their papers we have counts for
3 papers · 1 filter
Affine systems: asymptotics at infinity for fractal measures
Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
We study measures on which are induced by a class of infinite and recursive iterations in symbolic dynamics. Beginning with a finite set of data, we analyze prescrib…
Orthogonal Exponentials for Bernoulli Iterated Function Systems
Palle Jorgensen, Keri Kornelson, Karen Shuman
We investigate certain spectral properties of the Bernoulli convolution measures on attractor sets arising from iterated function systems on the real line. In particular, we examin…
Harmonic analysis of iterated function systems with overlap
Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
In this paper we extend previous work on IFSs without overlap. Our method involves systems of operators generalizing the more familiar Cuntz relations from operator algebra theory,…