Modelisation of dyadic intensive longitudinal categorical dyadic data

In my thesis, we try to model intensive longitudinal categorical dyadic data using Markov chains. In a first step, the objective is to work on the structure of the transition matrix in order to take into account the dependence between both members of the dyad. Secondly, the aim is to compare the modeling of these data by Markov chains with other models to identify the advantages and disadvantages.