Simulation ergodicity of traffic flows of a large city by exclusion type processes.

Matsievsky S., Drozdetsky S., Dubinin I.

Four properties of ergodic dynamic systems are investigated. A mathematical model for exclusion type process is presented. A density and a velocity and there average values are introduced. Dynamics and Markov processes are added. The dynamic coupling is defined and its advantage is demonstrated. The received statements are used for the proof of ergodic properties of exclusion type dynamic processes.

Keywords:ergodic property, density, velocity, exclusion process, dynamic process, Markov process, coupling, dynamic coupling, fundamental diagram.