  Heaviness refers to a sequence of partial sums maintaining a certain lower
bound and was recently introduced and studied in "Heaviness: and Extension of a
Lemma of Y. Peres." After a review of basic properties to familiarize the
reader with the ideas of heaviness, general principles of heaviness in symbolic
dynamics are introduced. The classical Morse sequence is used to study a
specific example of heaviness in a system with nontrivial rational eigenvalues.
To contrast, Sturmian sequences are examined, including a new condition for a
sequence to be Sturmian.
