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We establish the Lifschitz-type singularity around the bottom of the spectrumfor the integrated density of states for a class of subordinate Brownianmotions in presence of the nonnegative Poissonian random potentials, possiblyof infinite range, on the Sierpi\'nski gasket. We also study the long-timebehaviour for the corresponding averaged Feynman-Kac functionals.

Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpi\'nski gasket