Fig 2. Numerical example of the OU process.

(A) Numerical simulations of the OU process with parameters β_∞ = 0.7, μ_∞ = 1, σ₀ = 0.1. We used three random initial conditions from a distribution $\mathcal{N}(x_0,{\sigma }_0)$ with μ₀ = x₀ = 1.2, 0.6, 0.1 and β₀ = 0.7, 0.5, 0.45. (B) Effective forces (μ*, β*) following dynamics in Eqs 31 and 32 corresponding to the same set of initial conditions as in panel A. (C) Histograms of x(t) at times t = 0.3, 1, 2, 5 (initial condition β₀ = 0.45, μ₀ = 0.1, σ₀ = 0.1 as in panel A) from the simulated data and approximated distributions in Eq 16 for the effective forces. The time points correspond to the diamonds of matching color in the panels A-B. Code in S1 Code.