2020/10/12 by Veprev, Georgii
#28D05 (Secondary) #28D20 (Primary) #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2010.05742
In this work, we study the slow entropy type invariant of a dynamical system proposed by A. M. Vershik. We provide an explicit construction of a system whose class of scaling entropy sequences is empty. For this unstable case, we introduce an upgraded notion of the invariant, generalize subadditivity results, and provide a complete series of examples.