2 papers
math.DS2026
Cyclicity of lips and center-focus problem near infinity
Hebai Chen, Dehong Dai, Vadim Kaloshin +1
In this work, we discover an intriguing Liénard system which is integrable near infinity, integrable near zero and having Ilyashenko-Kotova lips in between. Moreover, we give a nec…
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…