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Scramble intersections stand as compelling examples of complex systems,shedding light on the pressing challenge of urban mobility. In this paper, weintroduce a model aimed at unraveling the statistical intricacies of pedestriancrossing times and their fluctuations in scenarios commonly encountered inmajor urban centers. Our findings offer snapshots that faithfully mirrorreal-world situations. Significantly, our results underscore the importance oftwo key factors: pedestrian flexibility and population density. These factorsplay a pivotal role in triggering the transition between mobile and immobilebehavior in the steady state, a concept expounded upon within this paperthrough a straightforward order parameter known as directed mobility.

Exploring Crossing Times and Congestion Patterns at Scramble Intersections in Pedestrian Dynamics Models: A Statistical Analysis