5 papers
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…
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.…
A volume preserving nonuniformly hyperbolic diffeomorphism with arbitrary number of ergodic components and close to the identity
Jianyu Chen, Huyi Hu, Yun Yang
We prove that for any $\ell\in\NN\cup\{\infty\}$ and any $r\in \NN$, every compact smooth Riemannian manifold $\cM$ of $\dim \cM\ge 5$ carries a volume preserving nonuni…
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…
The dual Minkowski problem for unbounded closed convex sets
Wen Ai, Yunlong Yang, Deping Ye
The central focus of this paper is the dual Minkowski problem for -compatible sets, where is a pointed closed convex cone in with nonempty interior. Suc…