Abstract: Measure-theoretical and topological entropy play a central role in structural questions for dynamical systems and serve as crucial tools in detecting chaoticity of a system. However, entropy is positive if and only if the system has exponential growth of distinguishable orbit types and it does not provide any information for systems with slower orbit growth. To measure the complexity of systems with subexponential orbit growth several different invariants have been studied. For instance, Anatole Katok and Jean-Paul Thouvenot introduced the concept of slow entropy. In this talk we discuss flexibility results on the values of measure-theoretical slow entropy for rigid transformations and finite-rank systems.