3 papers
math.DS2024
Hausdorff and box dimension bounds for subfractals induced by -gap shifts
Elizabeth Sattler
In this paper, we consider subsets of an attractor of an iterated function system in which each point is associated with an allowable word from an -gap shift. The main result sh…
math.DS2017
S-limited shifts
Benjamin Matson, Elizabeth Sattler
In this paper, we explore the construction and dynamical properties of -limited shifts. An -limited shift is a subshift defined on a finite alphabet $\mathcal{A} =…
math.DS2016
Fractal dimensions of subfractals induced by sofic subshifts
Elizabeth Sattler
In this paper, we will consider subfractals of hyperbolic iterated function systems which satisfy the open set condition. The subfractals will consist of points associated with inf…