1 citations · 7 across the 18 of their papers we have counts for
18 papers
Visual Para-Thinker: Divide-and-Conquer Reasoning for Visual Comprehension
Haoran Xu, Hongyu Wang, Jiaze Li +5
Existing LLM test-time scaling laws emphasize the emergence of self-reflective behaviors through extended reasoning length. Nevertheless, this vertical scaling strategy often encou…
Faber-Krahn type inequality for supertrees
Hongyu Wang, Xinmin Hou
The Faber-Krahn inequality states that the first Dirichlet eigenvalue among all bounded domains is no less than a Euclidean ball with the same volume in \cite{Chavel…
On closed almost complex four manifolds
Hongyu Wang, Ken Wang, Peng Zhu
In this paper, by using weakly \widetilde{\mathcal{D}}^+_J (resp. \mathcal{D}^+_J )-closed technique firstly introduced by Tan, Wang, Zhou and Zhu, we will give a characterization…
Spectral extrema of graphs with bounded clique number and matching number
Hongyu Wang, Xinmin Hou, Yue Ma
For a set of graphs , let $\ex(n,\mathcal{F})$ and $\spex(n,\mathcal{F})$ denote the maximum number of edges and the maximum spectral radius of an -vertex $\mathcal…
Bi-Hölder extensions of quasi-isometries on pseudoconvex domains of finite type in
Jinsong Liu, Xingsi Pu, Hongyu Wang
In this paper, we prove that the identity map for the smoothly bounded pseudoconvex domain of finite type in extends to a bi-Hölder map between the Euclidean boundar…
Estimates of the Kobayashi metric and Gromov hyperbolicity on convex domains of finite type
Hongyu Wang
In this paper we give an local estimate for the Kobayashi distance on a bounded convex domain of finite type, which relates to a local pseudodistance near the boundary. The estimat…
Carleson measures on convex domains
Haichou Li, Jinsong Liu, Hongyu Wang
Following M.Abate and A.Saracco's work on strongly pseudoconvex domains in , we characterize Carleson measures of in bounded convex domains with smooth bound…
The Gehring-Hayman type theorems on complex domains
Jinsong Liu, Hongyu Wang, Qingshan Zhou
In this paper we establish Gehring-Hayman type theorems for some complex domains. Suppose that is a bounded -convex domain with Dini-smooth boundary, or…
Localization of the Kobayashi metric and applications
Jinsong Liu, Hongyu Wang
In this paper we introduce a new class of domains -- log-type convex domains, which have no boundary regularity assumptions. Then we will localize the Kobayashi metric in log-type…
The CAT(0) geometry of convex domains with the Kobayashi metrics
Jinsong Liu, Hongyu Wang
Let be a convex domain in with the Kobayashi metric . In this paper we prove that -convexity is a necessary condition for to be CAT(0) if…
On non-elliptic symplectic manifolds
Shouwen Fang, Hongyu Wang
Let be a closed symplectic manifold of dimension with non-ellipticity. We can define an almost Kähler structure on by using the given symplectic form. Hence, we have a…
On tamed almost complex four manifolds
Qiang Tan, Hongyu Wang, Jiuru Zhou +1
This paper proves that on any tamed closed almost complex four-manifold whose dimension of -anti-invariant cohomology is equal to the self-dual second Betti number minus…
Symplectic Parabolicity and L^2 Symplectic Harmonic Forms
Qiang Tan, Hongyu Wang, Jiuru Zhou
In this paper, we study the symplectic cohomologies and symplectic harmonic forms which introduced by Tseng and Yau. Based on this, we get if is a compact symplectic p…
A note on the deformations of almost complex structures on compact four-manifolds
Qiang Tan, Hongyu Wang, Jiuru Zhou
In this paper, we calculate the dimension of the -anti-invariant cohomology subgroup on . Inspired by the concrete example, , we get that: On…
Primitive cohomology of degree 2 on compact symplectic manifolds
Qiang Tan, Hongyu Wang, Jiuru Zhou
In this paper, we define the generalized Lejmi's operator on a compact almost Kähler -manifold. We get that is -pure and full if . Addit…
Symplectic Cohomology and the Stability of J-Anti-Invariant Cohomology
Qiang Tan, Hongyu Wang, Ying Zhang +1
In this paper, we investigate the relationship between J-anti-invariant cohomology of a closed symplectic 4-manifold introduced by T.-J. Li and W. Zhang and new symplectic cohomolo…
On cohomology of almost complex 4-manifolds
Qiang Tan, Hongyu Wang, Ying Zhang +1
Based on recent work of T. Draghici, T.-J. Li and W. Zhang, we further investigate properties of the dimension h_J of the J-anti-invariant cohomology subgroup H_J of a closed almos…
On a generalized Calabi-Yau equation
Hongyu Wang, Peng Zhu
Dealing with the generalized Calabi-Yau equation proposed by Gromov on closed almost-Kähler manifolds, we extend to arbitrary dimension a non-existence result proved in complex dim…