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math-ph2017★ 22 cited
The Bulk-Edge Correspondence in Three Simple Cases
Jacob Shapiro
We present examples in three symmetry classes of topological insulators in one or two dimensions where the proof of the bulk-edge correspondence is particularly simple. This serves…
math.AP2017
Local energy decay for Lipschitz wavespeeds
Jacob Shapiro
We prove a logarithmic local energy decay rate for the wave equation with a wavespeed that is a compactly supported Lipschitz perturbation of unity. The key is to establish suitabl…