Title: Spectral Properties of Continuum Fibonacci Schrödinger Operators,
Abstract: We study continuum Schrödinger operators on the real line whose potentials
are comprised of two compactly supported square-integrable functions
concatenated according to an element of the Fibonacci substitution subshift
over two letters. We show that the Hausdorff dimension of the spectrum tends to
one in the small-coupling and high-energy regimes, regardless of the shape of
the potential pieces.