We prove a new generation result in L 1 for a large class of non-local operators with non-degenerate local terms. This class contains the operators appearing in Fokker-Planck or Kolmogorov forward equations associated ...

In this thesis we look at the NP-hard Prize-Collecting Steiner Tree Problem (PCSTP). We show an application within biology, where the PCSTP is used to identify coregulated genes which are differently expressed for diffuse ...

Motions of virtual characters in movies or video games are typically generated by recording actors using motion capturing methods. Animations generated this way often need postprocessing, such as improving the periodicity ...

Når man jobber med algebraisk topologi bruker man mange invarianter. De er veldig viktige i fagfeltet. En slik invariant er kohomologi. Disse invariantene tar inn topologiske rom og sender ut abelske grupper. Med en passende ...

Decomposition spaces are a class of function spaces constructed out of “well-behaved” coverings and partitions of unity of a set. The structure of the covering determines the properties of the decomposition space. Besov ...

In this thesis, we consider the minimization problem arising from a linear operator equation when applying Tikhonov regularization. In particular, we study the one-dimensional case with total variation penalization. We ...

We construct the first tightly secure authenticated key exchange (AKE) protocol from lattices. Known tight constructions are all based on Diffie-Hellman-like assumptions. Thus, our protocol is the first construction with ...

We construct the first tightly secure signature schemes in the multi-user setting with adaptive corruptions from lattices. In stark contrast to the previous tight constructions whose security is solely based on number-theoretic ...