Bounded density shifts
Brett Stanley · Ergodic Theory and Dynamical Systems · 2013
Abstract We consider subshifts of the full shift of bi-infinite sequences with alphabet $\{ 0, 1, \ldots , n- 1\} $ defined by not allowing the sum of finite words to exceed a value depending on its length. These shifts we call bounded density shifts. We study these shifts in detail and make a comparison on the similarities to but also differences from the well-known $\beta $ -shifts.