The chromosome is a key player of cell physiology, and its dynamics provides
valuable information about its physical organization. In both prokaryotes and
eukaryotes, the short-time motion of chromosomal loci has been described as a
Rouse model in a simple or viscoelastic medium. However, little emphasis has
been put on the role played by the folded organization of chromosomes on the
local dynamics. Clearly, stress-propagation, and thus dynamics, must be
affected by such organization, but a theory allowing to extract such
information from data, e.g.\ of two-point correlations, is lacking. Here, we
describe a theoretical framework able to answer this general polymer dynamics
question, and we provide a general scaling analysis of the stress-propagation
time between two loci at a given arclength distance along the chromosomal
coordinate. The results suggest a precise way to detect folding information
from the dynamical coupling of chromosome segments. Additionally, we realize
this framework in a specific theoretical model of a polymer with variable-range
interactions in a viscoelastic medium characterized by a tunable scaling
exponent, where we derive analytical estimates of the correlation functions.Comment: 14 pages including supplementary material
