Persistent scale free fluctuation in market recovery and recession

A counting procedure is introduced to track the persistent trending feature in the market fluctuation based on the second order statistics of the fluctuation. The method is applied to the daily number of the market index in different economic times of the recession and recovery. Similar characteristics with the discrete lattice cascade were found. It suggests the market index fluctuation over a wide range of scales can be modeled as a state of persistent “coordination”. Specific time scales of the persistent trending feature are extracted and differences in the recovery and recession are compared.