arXiv:2306.03047 Abstract | arXiv Analytics

arXiv:2306.03047 [math.DS]Abstract References Reviews Resources

A packing exponent formula for the upper box dimension of certain self-projective fractals

Published 2023-06-05Version 1

In this note, we prove a packing exponent formula for the upper box-counting dimension of attractors of certain projective iterated function systems. In particular, this shows that the upper box-counting dimension of the Rauzy gasket lies between 1.6910 and 1.7415, and partially affirms a conjecture of De Leo.

Categories: math.DS

Subjects: 28A80, 28A78

Keywords: packing exponent formula, upper box dimension, self-projective fractals, upper box-counting dimension, rauzy gasket lies

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