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Fractals in Engineering
Let T be a contraction mapping on an appropriate Banach space B(X). Then the evolution equation yt = T y − y can be used to produce a continuous evolution y(x, t) from an arbitrary initial condition y0 ∈ B(X) to the fixed point y ∈ B(X) of T . This simple observation is applied in the context of iterated function systems (IFS). In particular, we consider (1) the Markov operator M (on a space of probability measures) associated with an N -map IFS with probabilities (IFSP) and (2) the fractaldoi:10.1007/1-84628-048-6_15 fatcat:raz37chk5vdtbo3mhkjx5xmuje