#### Document Type

Article

#### Publication Date

6-1-2005

#### Published In

Ergodic Theory And Dynamical Systems

#### Abstract

A one-dimensional shift of finite type with entropy at least log factors onto the full -shift. The factor map is constructed by exploiting the fact that , or a subshift of , is conjugate to a shift of finite type in which every symbol can be followed by at least symbols. We will investigate analogous statements for higher-dimensional shifts of finite type. We will also show that for a certain class of mixing higher-dimensional shifts of finite type, sufficient entropy implies that is finitely equivalent to a shift of finite type that maps onto the full -shift.

#### Recommended Citation

Aimee S.A. Johnson and K. Madden.
(2005).
"Factoring Higher-Dimensional Shifts Of Finite Type Onto The Full Shift".
*Ergodic Theory And Dynamical Systems*.
Volume 25,
Issue 3.
811-822.

http://works.swarthmore.edu/fac-math-stat/3

## Comments

This work is freely available courtesy of Cambridge University Press.