Kinetic Langevin processes with pure-jump Lévy noise satisfy strong Feller, irreducibility, spectral gap, and exponential ergodicity in low-regularity settings, with densities and C0-semigroup properties for alpha-stable cases.
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On some topological and spectral properties of kinetic Langevin processes driven by L{\'e}vy noises
Kinetic Langevin processes with pure-jump Lévy noise satisfy strong Feller, irreducibility, spectral gap, and exponential ergodicity in low-regularity settings, with densities and C0-semigroup properties for alpha-stable cases.