Thursday, June 21, 2012

1206.4570 (Miquel Montero et al.)

Monotonous continuous-time random walks with drift and stochastic reset

Miquel Montero, Javier Villarroel
In this paper we consider a stochastic process that may experience random reset events which bring suddenly the system to the starting value and analyze the relevant statistical magnitudes. We focus our attention on monotonous continuous-time random walks with a constant drift: the process increases between the reset events, either by the effect of the random jumps, or by the action of the deterministic drift. As a result of all these combined factors interesting properties emerge, like the existence|for any drift strength|of a stationary transition probability density function and the faculty of the model to reproduce power-law-like behavior.
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