# behav: decomposition of anomalous diffusion in two-state random walks.

<< ️Two-state stochastic models, where motion alternates between distinct dynamical modes, are widely observed in complex systems. Here (AA) study the Two-State Random Walk (TSRW), which switches between a continuous-time random walk (CTRW) rest state and a standard Lévy walk (LW) motion state, each with power-law distributed sojourn times. >>

<< ️Using anomalous diffusion decomposition, (They) show that TSRWs exhibit a generic coexistence of Joseph (correlation), Noah (heavy-tailed increments), and Moses (aging) effects. >>

<< ️Strikingly, although classical Lévy walks alone possess only the Joseph effect, both Noah and Moses effects emerge in TSRWs solely due to stochastic switching with the CTRW phase. >>

<< ️(Their) results demonstrate that coupling between dynamical states can fundamentally reshape the mechanisms driving anomalous diffusion, offering a minimal yet powerful framework for transport in heterogeneous and intermittently switching environments. >>

Abhijit Bera, Kevin. E. Bassler. Decomposition of Anomalous Diffusion in two-state random walks. arXiv: 2606.00149v2 [nlin.AO]. Jun 7, 2026.

https://arxiv.org/abs/2606.00149

Also: behav, random, walk, walking, in https://www.inkgmr.net/kwrds.html 

Keywords: behavior, randomness, walk, walking, two-state stochastic behavior, two-state random walk, stochastic switching, Lévy walk motion, Joseph Noah Moses effects, anomalous diffusion, heterogeneous and intermittently switching environments.