Figure 1

Prehistory probability density \(\pmb{P(x,t)}\) for the potential \(\pmb{U(x)}\) , where \(\pmb{U'(x)=-K(x)}\) , and optimal trajectory \(\pmb{x_{\mathrm{opt}}(t)}\) . Here \(x_{\mathrm{m,M,i}}\) are the positions of the minimum, maximum and inflection points of the potential.