Fig. 4

Relationship between models with all-exponential distributions. The graph represents the relationships between all models when all durations are exponentially distributed. Here, μ, η and λ represent the exponential rates of the distributions, such that \(\langle X_{w} \rangle = \frac {1}{\mu }\) for the walker, \(\langle X_{u} \rangle = \frac {1}{\eta }\) for the up times, and \(\langle X_{d}\rangle = \frac {1}{\lambda }\) for the down times. The arrows represent pointwise convergence for all times, of the resting time PDF’s T_ij(t) in function of the dynamical parameters. As indicated in the main text, convergence regarding model 5 was established when η=λ. Also note that (Mod. 2) and (Mod. 3) merge in the all-exponential case since they produce statistically indistinguishable trajectories