Gaussian Process and Levy Walk under Stochastic Non-instantaneous Resetting and Stochastic Rest
Tian Zhou,
Pengbo Xu,
Weihua Deng
Abstract:A stochastic process with movement, return, and rest phases is considered in this paper. For the movement phase, the particles move following the dynamics of Gaussian process or ballistic type of Lévy walk, and the time of each movement is random. For the return phase, the particles will move back to the origin with a constant velocity or acceleration or under the action of a harmonic force after each movement, so that this phase can also be treated as a non-instantaneous resetting. After each return, a rest w… Show more
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