Given a continuous rectifiable function (Formula presented.), we present a simple Iterated Function System (IFS) with probabilities whose invariant measure is the normalized arclength measure on the graph of (Formula presented.).
Arclength as the invariant measure for an ifs with probabilities / D. La Torre, F. Mendivil. - In: FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY. - ISSN 0218-348X. - 23:4(2015 Dec), pp. 1550046.1-1550046.4. [10.1142/S0218348X15500462]
Arclength as the invariant measure for an ifs with probabilities
D. La TorrePrimo
;
2015
Abstract
Given a continuous rectifiable function (Formula presented.), we present a simple Iterated Function System (IFS) with probabilities whose invariant measure is the normalized arclength measure on the graph of (Formula presented.).
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