abstract: This talk will review the effect of stochastic resetting on the fundamental dynamical process of diffusion: by repeatedly restarting the diffusive particle one generates a onequilibrium stationary state. Moreover the first passage time for the diffusive particle to reach some target is drastically changed — it becomes finite whereas for diffusion it is infinite. I will discuss recent developments of the resetting paradigm to Non-Markovian processes such as long-tailed resetting time distributions and resetting of persistent random walkers
1 M. R. Evans, S. N. Majumdar, Phys. Rev. Lett. 106, 160601 (2011). 2 A. Pal, A. Kundu, M. R. Evans, J. Phys. A: Math. Theor. 49, 225001 (2016). 3 D. Boyer, M. R. Evans, S. N. Majumdar, J. Stat. Mech. 023208 (2017).