The impressive growth of the demand for wireless services for 5G and beyond, particularly encouraged by the Internet of Things, Internet of Everything, etc., raised up the importance of the problems related to the drastic increase (among others) of spectrum efficiency of the systems. In this regard two opportunistic trends were recently discussed by practical professionals and academicians: non-orthogonal spectrum sharing (NOMA transmission) for user equipment (UE) at physical layer level and decentralized Blockchain-enabled Radio Access (B-RAN) paradigm at network layer label. Both of them promise a significant growth on the transmission rate and the spectrum efficiency with low latency, etc. not only for 5G networks, but further, towards 6G networks and so on.

Moreover, it is a fact that the number of published works for B-RAN (some of them considered hereafter) is very impressive, however, the attention to its modeling aspects is rather limited.

The following material is dedicated to present several theoretical aspects of the small-scale modeling of B-RAN based on two well-known principles: continuous time Markov stochastic processes with discrete set of states for B-RAN modeling and self-similar processes for its traffic modeling.