2 papers
math.DS2026
Some remarks on the exponential separation and dimension preserving approximation for sets and measures
Saurabh Verma, Ekta Agrawal, Megala M
In the dimension theory of sets and measures, a recent breakthrough happened due to Hochman, who introduced the exponential separation condition (ESC) and proved the Hausdorff dime…
math.DS2025
Dimension preserving set-valued approximation and decomposition via metric sum
Ekta Agrawal, Saurabh Verma
In the literature, the Minkowski-sum and the metric-sum of compact sets are highlighted. While the first is associative, the latter is not. But the major drawback of the Minkowski…