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math.AP2019
The Wave Trace and Birkhoff Billiards
Amir Vig
The purpose of this article is to develop a Hadamard-Riesz type parametrix for the wave propagator in bounded planar domains with smooth, strictly convex boundary. This parametrix…
math.AP2018
Robin Spectral Rigidity of the Ellipse
Amir Vig
In this paper, we investigate isospectral deformations of the ellipse with Robin boundary conditions, allowing both the Robin function and domain to deform simultaneously. We…