The entanglement wedge cross sections (EWCSs) are postulated as dual gravity probes to certain measures for the of multiparty systems. We test various proposed inequalities EWCSs. As it turns out, contrary expectations, EWCS is not clearly monogamous nor polygamous tripartite systems but results depend on details and dimensionality geometry solutions. propose weaker monogamy relations measures,...

We present a novel geometric data structure for approximate collision detection at haptic rates between rigid objects. Our data structure, which we call inner sphere trees, supports different kinds of queries, namely, proximity queries and a new method for interpenetration computation, the penetration volume, which is related to the water displacement of the overlapping region and, thus, corres...

In this paper we consider detecting collisions between characters whose motion is specified by motion capture data. We consider rough collisions, modeling the characters as a disk in the floor plane. To provide efficient collision detection, we introduce a hierarchical bounding volume, the Motion Oriented Bounding Box tree (MOBB tree). A MOBBtree stores space-time bounds of a motion clip. In cr...