Symbolic Dynamics over Free Groups
Abstract
Symbolic dynamics is used to model functions acting on complex topological
spaces. This work explores the symbolic dynamics over a non-Abelian
group, the free group on two generators. We begin by introducing the
fundamentals of symbolic dynamics and Cayley graph coloring. We then
explain the relationship between these fields and characterize classes
of periodic points of the full shift over the free group.
Collections
Related items
Showing items related by title, author, creator and subject.
-
Validation of Propellant Dynamics Model
(2011-02-08)n fluid dynamics, slosh refers to the movement of liquid inside a hollow object. We examine these dynamics in a scale-model of the Orion Service Module (SM) down-stream hydrazine propellant tank. The SM is a component of ... -
Impacts of Fraxinus Population Dynamics and Forest Tree Species Composition on the Distribution of Emerald Ash Borer, Agrilus planipennis
(2013-09-20)The Emerald Ash Borer (Agrilus planipennis) is an invasive beetle responsible for killing millions of ash trees (Fraxinus spp.) across North America. With a host species that spans much of the Eastern United States and no ... -
Dynamical Systems and Circle Maps
(2014-09-18)Dynamics is a branch of mathematics that studies how systems change with time, and this can be done using function iteration or di erential equations. Our focus is on the dynamics of the circle map function, fn(x) = nx ...
