On the asymptotics of counting functions for Ahlfors regular sets
Dušan Pokorný, Marc Rauch (2022)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
We deal with the so-called Ahlfors regular sets (also known as -regular sets) in metric spaces. First we show that those sets correspond to a certain class of tree-like structures. Building on this observation we then study the following question: Under which conditions does the limit exist, where is an -regular set and is for instance the -packing number of ?