4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.PR2021★ 3 cited
On self-similar Bernstein functions and corresponding generalized fractional derivatives
Peter Kern, Svenja Lage
We use the theory of Bernstein functions to analyze power law tail behavior with log-periodic perturbations which corresponds to self-similarity of the Bernstein functions. Such ta…
math.PR2019
Space-time duality for semi-fractional diffusions
Peter Kern, Svenja Lage
Almost sixty years ago Zolotarev proved a duality result which relates an -stable density for to the density of a -stable distribution on the positive real…
math.PR2018★ 4 cited
Semi-fractional diffusion equations
Peter Kern, Svenja Lage, Mark M. Meerschaert
It is well known that certain fractional diffusion equations can be solved by the densities of stable Lévy motions. In this paper we use the classical semigroup approach for Lévy p…