Speaker:
May Mei
Institution:
UC Irvine, Math. Department
Time:
Wednesday, October 10, 2012 - 4:00pm to 5:00pm
Location:
Rowland Hall 306
Talk Abstract:
The Nobel Prize-winning discovery of quasicrystals has spurred much work in aperiodic sequences and tilings. One such example is the family of one-dimensional discrete Schrödinger operators with potentials given by primitive invertible substitutions on two letters, which are a one-dimensional model of quasicrystals. We prove results about spectral properties of these operators using tools from hyperbolic dynamics.