79 citations · 575 across the 55 of their papers we have counts for
5 papers · 1 filter
Cutting a Cake Is Not Always a 'Piece of Cake': A Closer Look at the Foundations of Cake-Cutting Through the Lens of Measure Theory
Peter Kern, Daniel Neugebauer, Jörg Rothe +3
Cake-cutting is a playful name for the fair division of a heterogeneous, divisible good among agents, a well-studied problem at the intersection of mathematics, economics, and arti…
On -scale functions of spectrally negative Lévy processes
Anita Behme, David Oechsler, René L. Schilling
We obtain series expansions of the -scale functions of arbitrary spectrally negative Lévy processes, including processes with infinite jump activity, and use these to derive var…
For which functions are and martingales?
Franziska Kühn, René L. Schilling
Let be a one-dimensional Lévy process such that each has a -density w.r.t. Lebesgue measure and certain polynomial or exponential moments. We chara…
Convolution inequalities for Besov and Triebel--Lizorkin spaces, and applications to convolution semigroups
Franziska Kühn, René L. Schilling
We establish convolution inequalities for Besov spaces and Triebel--Lizorkin spaces . As an application, we study the mapping properties of convolution semig…
The (strong) Liouville property for a class of non-local operators
David Berger, René L. Schilling
We prove a necessary and sufficient condition for the Liouville and strong Liouville properties of the infinitesimal generator of a Lévy process and subordinate Lévy processes. Com…