Explicit Spectral Decimation for a Class of Self-Similar Fractals

<table>The graph <svg height="15.25" id="M17" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 15.075 15.25" width="15.075" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> for the fractal <svg height="15.7" id="M18" style="vertical-align:-3.27605pt" version="1.1" viewbox="0 0 16.85 15.7" width="16.85" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.55)"><path d="M16 651v25h315q130 0 199.5 -46t69.5 -135q0 -60 -33.5 -104.5t-95.5 -67.5q-29 -11 -71 -16q-30 -2 -138 -4v-192q0 -51 14 -65q13 -13 73 -21v-25h-333v25q33 3 45 9q23 9 31 29t8 63v427q0 59 -16 75q-15 18 -68 23zM262 606v-268q95 2 130 32q36 32 36 114
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<g transform="matrix(.012,-0,0,-.012,10.45,15.637)"><path d="M456 178h-96v-72q0 -51 12.5 -62.5t72.5 -16.5v-27h-256v27q65 5 78 17t13 62v72h-260v28q182 271 300 426h40v-407h96v-47zM280 225v295h-2q-107 -148 -196 -295h198z" id="x34"></path></g>
</svg>, minus the boundary points.</table>

Abstract and Applied Analysis

Explicit Spectral Decimation for a Class of Self-Similar Fractals

Figure 2