We study the stability of variational problems involving sequences of sets and measures generated by iterated function systems and approaching a fractal object in Hausdorff and Monge-Kantorovich metric, respectively. We give some results concerning the convergence of the corresponding minimizers.
Optimization on fractals and stability / M. Barnsley, U. Freiberg, D. La Torre. - In: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. - ISSN 1345-4773. - 13:4(2012 Dec 01), pp. 695-708.
Optimization on fractals and stability
D. La Torre
2012
Abstract
We study the stability of variational problems involving sequences of sets and measures generated by iterated function systems and approaching a fractal object in Hausdorff and Monge-Kantorovich metric, respectively. We give some results concerning the convergence of the corresponding minimizers.File in questo prodotto:
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