Random matrices and the New York City subway system

Abstract

We analyze subway arrival times in the New York City subway system. We find regimes where the gaps between trains exhibit both (unitarily invariant) random matrix statistics and Poisson statistics. The departure from random matrix statistics is captured by the value of the Coulomb potential along the subway route. This departure becomes more pronounced as trains make more stops.

References in corpus (3)

• Asymptotics in ASEP with Step Initial Condition
• Modelling highway-traffic headway distributions using superstatistics
• Inter-vehicle gap statistics on signal-controlled crossroads

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