Characterization of stationary states in random walks with stochastic resetting.

  title={Characterization of stationary states in random walks with stochastic resetting.},
  author={Vicenç M{\'e}ndez and Daniel Campos},
  journal={Physical review. E},
  volume={93 2},
It is known that introducing a stochastic resetting in a random-walk process can lead to the emergence of a stationary state. Here we study this point from a general perspective through the derivation and analysis of mesoscopic (continuous-time random walk) equations for both jump and velocity models with stochastic resetting. In the case of jump models it is shown that stationary states emerge for any shape of the waiting-time and jump length distributions. The existence of such state entails… 

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