3 papers
math.DG2025
Spectral rigidity of two-dimensional Liouville tori
Joscha Henheik, Vadim Kaloshin, Yunzhe Li +1
It is a folklore conjecture that Liouville metrics are the only Riemannian metrics with integrable geodesic flow on the two-dimensional torus. In this paper, we study Laplace-isosp…
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.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…