2 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…