Talk:Iterated function system: Difference between revisions

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Spot (talk | contribs)
Vanish2 (talk | contribs)
Contraction mappings: references for contraction on average
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:::::I didn't add the reference, it has been there for years, I'm just telling you on what page you can find the statement in the references already used that backs up the edit in question. Do the references really have to define it or just use the phrase? This is a statement about the computer graphics technique of IFS, not the mathematical objects, maybe it should just go into the section on constructions, which also includes implementation info such as the effect of zooming. I think that would be an best what do you think? [[User:Spot|Spot]] ([[User talk:Spot|talk]]) 22:54, 18 July 2008 (UTC)
:::::Looks like this paper defines it: http://ace.acadiau.ca/math/mendivil/Papers/infifs.ps [[User:Spot|Spot]] ([[User talk:Spot|talk]]) 00:15, 19 July 2008 (UTC)
::::::Contraction on average requires a notion of probability on the infinite k-ary tree and so really has to be defined after the description of the "chaos game". References that seem good to me are {{cite journal | title=Iterated Random Functions | author= Persi Diaconis | coauthors=David Freedman | journal= SIAM Review | volume=41 | issue=1 | pages=45-76 | date=Mar 1999 | url=http://oz.berkeley.edu/tech-reports/511.pdf | format=PDF }} and {{cite journal | author=Thomas Jordan | coauthors=Mark Pollicott | title=The Haussdorff dimension of measures for iterated function systems which contract on average | journal=Discrete and Continuous Dynamical Systems | volume=22 | year=2008 | pages=235-246 | url=http://www.warwick.ac.uk/~masdbl/pesin.pdf | format=PDF }} [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 09:05, 19 July 2008 (UTC)