It is known that Ising model on Sierpinski gasket is exactly solvable. In 1980s Gefen, Aharony, Shapir and Mandelbrot gave the recursive relation for such model and argued no finite-temperature phase transitions. In this talk I will give a proof for exact formulas of its partition functions. The recursive relation is conjugated to a quadratic map, from which I can give a precise description about zero distributions and thermodynamic limit.

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