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math.DS2025
Normal forms in a neighborhood of hyperbolic periodic orbits for flows in dimension 3
Alena Erchenko, Kurt Vinhage, Yun Yang
In a neighborhood of a hyperbolic periodic orbit of a volume-preserving flow on a manifold of dimension 3, we define and show the existence of a normal form for the generator of th…
math.DS2025
Rescaled expansive measures for flows
Yun Yang
We introduce the notion of rescaled expansive measures to study a measure-theoretic formulation of rescaled expansiveness for flows, particularly in the presence of singularities.…
math.DG2025
Geometric flows and space-periodic solitons on the light-cone
Yun Yang
This paper investigates curve flows on the light-cone in the 3-dimensional Minkowski space. We derive the Harnack inequality for the heat flow and present a detailed classification…