I found this paper very interesting. From my phD study, Brownian motion of DNA molecules has been observed via fluorescent microscope, and typical observed behavior of DNA is as shown above. (This movie was taken by Mr Sato who graduated form my group when I was in Tokyo University of Agriculture and Technology.) Just following the standard procedure, I have analyzed the motion in terms of mean-square-displacement, and conformational relaxations.
The research proposes a new method for the analysis in the long time regime, in which the dynamics is usually regarded as normal diffusion whereas the authors extracted sub-modes deviating from the normal diffusion.
The authors kindly provide their code for the analysis. It seems worth trying.