Autonomous vehicles (AVs) must share space with pedestrians, both in carriageway cases such as cars at pedestrian crossings and off-carriageway delivery navigating through crowds on pedestrianized high-streets. Unlike static obstacles, pedestrians are active agents complex, interactive motions. Planning AV actions the presence of thus requires modelling their probable future behavior well detec...

A general adaptive refinement strategy for solving linear elliptic partial differential equations with random data is proposed and analysed herein. The extends the a posteriori error estimation framework introduced by Guignard Nobile [SIAM J. Numer. Anal., 56 (2018), pp. 3121--3143] to cover problems nonaffine parametric coefficient dependence. suboptimal, but nonetheless reliable convenient im...

Abstract The following bare-bones story introduces the idea of a cumulative hierarchy pure sets: ‘Sets are arranged in stages. Every set is found at some stage. At any stage S: for sets before S, we find whose members exactly those sets. We nothing else S’. Surprisingly, this already guarantees that well-ordered levels, and suffices quasi-categoricity. I show by presenting Level Theory, simplif...