  The one-electron properties of a certain class of one-dimensional ternary
quasicrystals are investigated. In particular, we show in detail the presence
of a special kind of critical states called marginal critical states in these
QCs. By the use of a real-space renormalization-group method, it is shown that
the scaling properties of marginal critical states are characterized by
stretched exponentials. These states are virtually localized, so that their
presence may make a QC less conductive.
