Fractal transformations of harmonic functions

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dc.contributor.authorBarnsley, Michael
dc.contributor.authorFreiberg, Uta
dc.coverage.spatialAdelaide Australia
dc.date.accessioned2015-12-07T22:14:55Z
dc.date.createdDecember 12-13 2006
dc.date.issued2007
dc.date.updated2015-12-07T07:37:29Z
dc.description.abstractThe theory of fractal homeomorphisms is applied to transform a Sierpinski triangle into what we call a Kigami triangle. The latter is such that the corresponding harmonic functions and the corresponding Laplacian Δ take a relatively simple form. This pro
dc.identifier.isbn9780819465252
dc.identifier.urihttp://hdl.handle.net/1885/17661
dc.publisherSPIE - The International Society for Optical Engineering
dc.relation.ispartofseriesComplexity and Nonlinear Dynamics Conference 2006
dc.sourceProceedings of SPIE: Complexity and Nonlinear Dynamics Conference 2006
dc.subjectKeywords: Algorithms; Chaos theory; Fractals; Harmonic analysis; Laplace equation; Chaos game algorithms; Fractal homeomorphisms; Fractal transformations; Sierpinski triangle; Mathematical transformations
dc.titleFractal transformations of harmonic functions
dc.typeConference paper
local.bibliographicCitation.startpage64170C
local.contributor.affiliationBarnsley, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationFreiberg, Uta, University of Jena
local.contributor.authoremailu4138881@anu.edu.au
local.contributor.authoruidBarnsley, Michael, u4138881
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010204 - Dynamical Systems in Applications
local.identifier.ariespublicationu4138881xPUB2
local.identifier.doi10.1117/12.696052
local.identifier.scopusID2-s2.0-34247335444
local.identifier.uidSubmittedByu4138881
local.type.statusPublished Version

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