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math.SP2024
Silent Orbits and Cancellations in the Wave Trace
Illya Koval, Amir Vig
This paper shows that the wave trace of a bounded and strictly convex planar domain may be arbitrarily smooth in a neighborhood of some point in the length spectrum. In other words…
math.SP2024
Balian-Bloch Wave Invariants for Nearly Degenerate Orbits
Vadim Kaloshin, Illya Koval, Amir Vig
This paper is part I of a series in which we aim to show that the singular support of the wave trace and the length spectrum of a smooth, strictly convex, and bounded planar billia…