Analytical solutions of Fokker-Planck equation in ranking processes

  • J. L. González-Santander Facultad de Ciencias Experimentales. Universidad Católica de Valencia San Vicente Mártir.
Keywords: Ranking processes, Fokker-Planck equation


We consider the Fokker-Planck equation of the dynamics of ranking processes (N. Blumm et al. 2012 Dynamics of Ranking Processes in Complex Systems Phys. Rev. Lett. 109). On the one hand, we have generalized and enhanced the cases for the solutions of the steady-state. On the other, we have calculated some particular solutions for the transient regime. Moreover, we discuss the consistency of a normalization parameter in a special case.

Keywords: Ranking processes, Fokker-Planck equation.