2 We study mechanisms of anomalous transport in quenched random media. Broad disorder point distributions and strong disorder correlations cause anomalous transport and can lead to the same anomalous scaling laws for the mean and variance of the particle displacements. The respective mechanisms, however, are fundamentally different. This difference is reflected in the spatial particle densities...

Set Cover is a well-studied problem with application in many fields. A well-known variant of this the Minimum Membership problem: Given set points and objects, objective to cover all while minimizing maximum number objects that contain any one point. dual Hitting stab an object contains. We study both these variants geometric setting various types plane, including axis-parallel line segments, s...

We consider polyhedral versions of Kannan and Lipton's Orbit Problem [14, 13] determining whether a target polyhedron V may be reached from a starting point x under repeated applications of a linear transformation A in an ambient vector space Q. In the context of program veri cation, very similar reachability questions were also considered and left open by Lee and Yannakakis in [15], and by Bra...