Asymptotics of maximum distance minimizers
Enrique G Alvarado, Louisa Catalano, Tom\'as Merch\'an, Lisa Naples
TL;DR
This paper investigates the asymptotic behavior of maximum distance minimizers and their Hausdorff measures as the parameter approaches zero, including cases involving fractal structures.
Contribution
It provides new insights into the limiting behavior and asymptotics of maximum distance minimizers, especially in fractal contexts.
Findings
Asymptotic formulas for Hausdorff measures of minimizers
Behavior characterized in fractal and non-fractal settings
Limit results as the parameter r tends to zero
Abstract
We study the limiting behavior of -maximum distance minimizers and the asymptotics of their -dimensional Hausdorff measures as tends to zero in several contexts, including situations involving objects of fractal nature.
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Taxonomy
TopicsMathematical Dynamics and Fractals · advanced mathematical theories · Advanced Mathematical Modeling in Engineering