The remaining travel time of a plane shortens with every minute that passes from its departure, and flame diminishes candle second it burns. Such everyday occurrences bias us to think processes which have already begun will end before those just started. Yet, the inspection paradox teaches converse can also happen when randomness is at play. comes probability theory, where often illustrated by ...

Resetting or restart, when applied to a stochastic process, usually brings its dynamics time-independent stationary state. In turn, the optimal resetting rate makes mean time reach target be shortest one. These and other intriguing problems have been intensively studied in case of ordinary diffusive processes over last decade. this paper we consider influence on motion modeled terms non-linear ...

In this paper we investigate the normal and large fluctuations of additive functionals associated with a stochastic process under general non-Poissonian resetting mechanism. Cumulative regenerative processes are very close to renewal-reward inherit most properties latter. Here review use classical law numbers central limit theorem for obtain same theorems resetting. Then, establish deviation pr...