Background: Distracted walking is a major cause of pedestrian fatalities. Along with the expansion and popularity of mobile phones, their impacts on pedestrian safety, especially when crossing urban intersections have attracted a lot of attention. The purpose of this study is to evaluate the effects of mobile-phone use on pedestrians’ crossing behavior when passing signalized intersections. Ma...

We investigate the role that non-crossing partitions play in the study of positroids, a class of matroids introduced by Postnikov. We prove that every positroid can be constructed uniquely by choosing a non-crossing partition on the ground set, and then freely placing the structure of a connected positroid on each of the blocks of the partition. This structural result yields several combinatori...

We introduce and study the model of simply generated non-crossing partitions, which are, roughly speaking, chosen at random according to a sequence of weights. This framework encompasses the particular case of uniform non-crossing partitions with constraints on their block sizes. Our main tool is a bijection between non-crossing partitions and plane trees, which maps such simply generated non-c...