Inner structure of vehicular ensembles and random matrix theory

Abstract

We introduce a special class of random matrices (DUE) whose spectral statistics corresponds to statistics of microscopical quantities detected in vehicular flows. Comparing the level spacing distribution (for ordered eigenvalues in unfolded spectra of DUE matrices) with the time-clearance distribution extracted from various areas of the flux-density diagram (evaluated from original traffic data measured on Czech expressways with high occupancies) we demonstrate that the set of classical systems showing an universality associated with Random Matrix Ensembles can be extended by traffic systems.

16 pages, 13 figures

References in corpus (4)

• Approximate Hamiltonian Statistics in One-dimensional Driven Dissipative Many-Particle Systems
• Equilibrium distributions in thermodynamical traffic gas
• Inter-vehicle gap statistics on signal-controlled crossroads
• Vehicular headways on signalized intersections: theory, models, and reality

Cited by in corpus (4)

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• 3s-Unification for Vehicular Headway Modeling
• Buses of Cuernavaca - an agent-based model for universal random matrix behavior minimizing mutual information
• Random matrix statistics and safety rest areas on interstates in the United States