82 citations · 362 across the 21 of their papers we have counts for
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Continuum Schrödinger Operators Associated With Aperiodic Subshifts
David Damanik, Jake Fillman, Anton Gorodetski
We study Schrödinger operators on the real line whose potentials are generated by an underlying ergodic subshift over a finite alphabet and a rule that replaces symbols by compactl…
Spectral Properties of Schrödinger Operators Arising in the Study of Quasicrystals
David Damanik, Mark Embree, Anton Gorodetski
We survey results that have been obtained for self-adjoint operators, and especially Schrödinger operators, associated with mathematical models of quasicrystals. After presenting g…
Hölder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian
David Damanik, Anton Gorodetski
We prove Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian for any positive coupling, and obtain the asymptotics of the Hölder exponents for large…
The Density of States Measure of the Weakly Coupled Fibonacci Hamiltonian
David Damanik, Anton Gorodetski
We consider the density of states measure of the Fibonacci Hamiltonian and show that, for small values of the coupling constant , this measure is exact-dimensional and the almos…