Comparison of the microscopic prediction and macroscopic model for the map at . (a) Logarithm of the probability distribution obtained simulating 200 agents for 30,000 seconds. Logarithmic distribution is used to highlight the states with low probability. (b) () Probability distribution obtained with Fokker-Planck equation. (c) Product of both distributions, decreasing the importance of high values in the microscopic simulation (specifically ).