I added a few notes from lectures by Shlomo Sternberg showing that an IFT of contractions on X yields a contraction on the space of non-empty compact subsets of X equipped with the Hausdorff metric. Pages 3-17 are relevant in support of the material on page 4 of my lecture notes.
I also added the relevant passage from Barnsley's book "Fractals Everywhere" proving that the associated Markov operator on probability measures is a contraction in the Hutchinson metric (also known as ($L_1$-) Wasserstein metric).
I also added the relevant passage from Barnsley's book "Fractals Everywhere" proving that the associated Markov operator on probability measures is a contraction in the Hutchinson metric (also known as ($L_1$-) Wasserstein metric).
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