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math.PR2022
Exponential densities and compound Poisson measures
Miłosz Baraniewicz, Kamil Kaleta
We prove estimates at infinity of convolutions and densities of the corresponding compound Poisson measures for a class of radial decreasing densities on $\mathbb{R}^d…
math.PR2014
Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket
Kamil Kaleta, Katarzyna Pietruska-Pałuba
We establish the Lifschitz-type singularity around the bottom of the spectrum for the integrated density of states for a class of subordinate Brownian motions in presence of the no…