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math.FA2023★ 5 cited
Quasi-ergodicity of compact strong Feller semigroups on
Kamil Kaleta, René L. Schilling
We study the quasi-ergodicity of compact strong Feller semigroups , , on ; we assume that is a locally compact Polish space equipped with a locally finite…
math.SP2023
Density of states for the Anderson model on nested fractals
Hubert Balsam, Kamil Kaleta, Mariusz Olszewski +1
We prove the existence and establish the Lifschitz singularity of the integrated density of states for certain random Hamiltonians on fractal spaces of infinite diame…
math.FA2023
Integral kernels of Schrödinger semigroups with nonnegative locally bounded potentials
Miłosz Baraniewicz, Kamil Kaleta
We give the upper and the lower estimates of heat kernels for Schrödinger operators , with nonnegative and locally bounded potentials in , . We…