Some toy Furstenberg sets and projections of the four-corner Cantor set
Daniel M. Oberlin
TL;DR
This paper establishes lower bounds on the Hausdorff dimensions of certain model Furstenberg sets, contributing to the understanding of their geometric complexity.
Contribution
It provides new lower bounds for the Hausdorff dimensions of specific Furstenberg sets, advancing the theoretical understanding of their structure.
Findings
Lower bounds for Hausdorff dimensions of model Furstenberg sets
Insights into projections of the four-corner Cantor set
Enhanced understanding of geometric measure properties
Abstract
We give lower bounds for the Hausdorff dimensions of some model Furstenberg sets.
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Taxonomy
TopicsMathematical Approximation and Integration · Mathematical Dynamics and Fractals · Digital Image Processing Techniques