Abstract Dynamic Network Actor Models (DyNAMs) assume that an observed sequence of relational events is the outcome actor-oriented decision process consisting two levels. The first level represents time until actor initiates next event, modeled by exponential distribution with actor-specific activity rate. second describes choice receiver a conditional multinomial logit model. DyNAM assumes par...

We investigate thermodynamic phase transitions of the joint presence spin glass (SG) and random field (RF) using a graph model that allows us to deal with quenched disorder. Therefore, connectivity becomes controllable parameter in our theory, allowing answer what differences are between this description mean-field theory i.e., fully connected theory. have considered network Ising where exchang...

Abstract Over the last two decades, network theory has shown to be a fruitful paradigm in understanding organization and functioning of real-world complex systems. One technique helpful this endeavor is identifying functionally influential subgraphs, shedding light on underlying evolutionary processes. Such overrepresented motifs , have received much attention simple networks, where edges are e...