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We obtain the Lifschitz tail asymptotics for the integrated density of statesof the subordinate $\alpha-$stable processes on the Sierpi\'nski gasket$\mathcal G,$ evolving among killing Poissonian obstacles. Simultaneously, wederive the large-time asymptotics for the volume of the $\alpha-$stable sausageon the gasket.

Lifschitz tail and sausage asymptotics for stable processes in the Poissonian environment on the Sierpinski gasket