“…[26,27] we have analyzed the three most popular discretization rules for Langevin equations with multiplicative noise, namely, Ito's pre-point discretization rule [32,33], the Fisk-Stratonovich mid-point rule [34][35][36][37], and the Ha¨nggi-Klimontovich (HK) post-point rule [38][39][40][41]. As a main result it was found that only the HK interpretation of the Langevin equation yields a FPE, whose stationary solution coincides with the one-dimensional relativistic Ju¨ttner-Maxwell distribution, as known from Ju¨ttner's early work on the relativistic gas [42,43] and also from the relativistic kinetic theory [23,24]. Thus, in absence of other qualifying criteria, one may conclude that the post-point discretization rule is favorable.…”