Parrondo-like behavior in continuous-time random walks with memory

Details Parrondo-like behavior in continuous-time random walks with memory Parrondo-like behavior in continuous-time random walks with memory

2011-07-12

arxiv.org/abs/1107.2346v3

Phys. Rev. E 84, 051139 (2011)

Physics

Mathematical Physics

8 pages, 3 figures, revtex; enlarged and revised version

Scientific paper

10.1103/PhysRevE.84.051139

The Continuous-Time Random Walk (CTRW) formalism can be adapted to encompass stochastic processes with memory. In this article we will show how the random combination of two different unbiased CTRWs can give raise to a process with clear drift, if one of them is a CTRW with memory. If one identifies the other one as noise, the effect can be thought as a kind of stochastic resonance. The ultimate origin of this phenomenon is the same of the Parrondo's paradox in game theory

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