Abstract

In this paper, we study the dimensions and spectra of t-popcorn graphs where t is a positive finite real number. We give the explicit formulae of the box dimensions and the Assouad spectra of t-popcorn graphs for 0<t<2. The results follow from finer layer estimates developed by Duffin-Schaeffer type estimates and Chung-Erdős inequality in horizontal views and nonlinear collapsed views respectively related to the parameter t.

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