79 citations · 575 across the 55 of their papers we have counts for
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Some Theorems on Feller Processes: Transience, Local Times and Ultracontractivity
René L. Schilling, Jian Wang
We present sufficient conditions for the transience and the existence of local times of a Feller process, and the ultracontractivity of the associated Feller semigroup; these condi…
Lower bounded semi-Dirichlet forms associated with Lévy type operators
René L. Schilling, Jian Wang
Let be a non-negative measurable function on some locally compact separable metric space . We provide some simple conditions such that the quadratic…
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…