Based on previous developments of the concept of market states using
correlation matrices, in the present paper we address the dynamical evolution
of correlation matrices in time. This will imply minor modifications to the
market states themselves, due to increased attention to the transition matrix
between the states. We will introduce trajectories of the correlation matrices
by considering one day shifts for the epoch used to calculate the correlation
matrices and will visualize both the states and the trajectories after
dimensional scaling. This approach using dynamics improves the options of risk
assessment and opens the door to dynamical treatments of markets and shows
noise suppression in a new light.Comment: 22 pages and 27 figures. arXiv admin note: text overlap with
arXiv:2003.0705