Comment on ``Critical behavior of the chain--generating function of self--avoiding walks on the Sierpinski gasket family: The Euclidean limit''

TL;DR

This paper critiques a previous study on self-avoiding walks on Sierpinski gaskets, arguing that insufficient data was used to support claims about their critical behavior.

Contribution

It provides a critical analysis showing that prior conclusions about criticality were based on inadequate data, emphasizing the need for more comprehensive analysis.

Findings

Previous claims about critical behavior are not supported by sufficient data.

The authors demonstrate the importance of extensive data for reliable criticality analysis.

Highlights limitations of the series expansion method used in earlier work.

Abstract

We refute the claims made by Riera and Chalub [Phys.Rev.E {\bf 58}, 4001 (1998)] by demonstrating that they have not provided enough data (requisite in their series expansion method) to draw reliable conclusions about criticality of self-avoiding walks on the Sierpinski gasket family of fractals.