The Hausdorff dimension of pulse-sum graphs.

Kenneth John Falconer, Yann Demichel

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We consider random functions formed as sums of pulses

F(t) = infinity Sigma n=1n(-alpha/D)G(n(1/D)(t- X-n)) (t is an element of R-D)

where X-n are independent random vectors, 0 < alpha < 1, and G is an elementary "pulse" or "bump". Typically such functions have fractal graphs and we find the Hausdorff dimension of these graphs using a novel variant on the potential theoretic method.

Original languageEnglish
Pages (from-to)145-155
Number of pages11
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume143
DOIs
Publication statusPublished - Jul 2007

Keywords

  • FRACTAL SUMS

Fingerprint

Dive into the research topics of 'The Hausdorff dimension of pulse-sum graphs.'. Together they form a unique fingerprint.

Cite this