Stochastic Processes and the Dirac Equation with External Fields
  The equation describing the stochastic motion of a classical particle in 1+1-dimensional space-time is connected to the Dirac equation with external gauge fields. The effects of assigning different turning probabilities to the forward and the backward moving particles in time are discussed. 
Jae-weon Lee, Eok Kyun Lee, Hae Myoung Kwon, In-gyu Koh, Yeong Deok   Han