7 citations · 9 across the 4 of their papers we have counts for
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A geometric interpretation of the transition density of a symmetric Lévy Process
N. Jacob, V. Knopova, S. Landwehr +1
We study for a class of symmetric Lévy processes with state space $\rn$ the transition density in terms of two one-parameter families of metrics, and $(δ_t)_…
On the Coupling Property and the Liouville Theorem for Ornstein-Uhlenbeck Processes
René L. Schilling, Jian Wang
Using a coupling for the weighted sum of independent random variables and the explicit expression of the transition semigroup of Ornstein-Uhlenbeck processes driven by compound Poi…
Functional Inequalities and Subordination: Stability of Nash and Poincaré inequalities
René L. Schilling, Jian Wang
We show that certain functional inequalities, e.g.\ Nash-type and Poincaré-type inequalities, for infinitesimal generators of semigroups are preserved under subordination in…
Packing Dimension Profiles and Levy Processes
Davar Khoshnevisan, Rene Schilling, Yimin Xiao
We extend the concept of packing dimension profiles, due to Falconer and Howroyd (1997) and Howroyd (2001), and use our extension in order to determine the packing dimension of an…