29 citations · 125 across the 29 of their papers we have counts for
30 papers
BANGLAPLAN: A Benchmark for Constraint-Based Planning and Decision-Making in Bangla
Md Rayhanul Masud, S M Maksudul Alam, Mohammad Jaminur Islam
Large language models (LLMs) increasingly help users arrange appointments, plan journeys, and allocate limited resources. These tasks require models to satisfy constraints on time,…
The total mass of Brownian loop measure of Riemann surfaces for large genus
Jiankun Hou, Yunhui Wu
Let be the moduli space of hyperbolic surfaces of genus with hyperbolic ends of widths . We reg…
Torsion subgroups and fixed-point rigidity in CAT(0) geometry
Jiankun Hou, Hiroyasu Izeki, Ran Ji +2
We develop new methods for studying groups acting on CAT(0) spaces, which lead to several general structural results. First, we prove that every torsion subgroup of a CAT(0) group…
Averages of determinants of Laplacians over moduli spaces for large genus
Yuxin He, Yunhui Wu
Let be the moduli space of hyperbolic surfaces of genus endowed with the Weil-Petersson metric. We view the regularized determinant of Laplac…
Non-simple systoles on random hyperbolic surfaces for large genus
Yuxin He, Yang Shen, Yunhui Wu +1
In this paper, we investigate the asymptotic behavior of the non-simple systole, which is the length of a shortest non-simple closed geodesic, on a random closed hyperbolic surface…
Systole functions and Weil-Petersson geometry
Yunhui Wu
A basic feature of Teichmüller theory of Riemann surfaces is the interplay of two dimensional hyperbolic geometry, the behavior of geodesic-length functions and Weil-Petersson geom…
Prime geodesic theorem and closed geodesics for large genus
Yunhui Wu, Yuhao Xue
Let be the moduli space of hyperbolic surfaces of genus endowed with the Weil-Petersson metric. In this paper, we show that for any , as , for…
On second eigenvalues of closed hyperbolic surfaces for large genus
Yuxin He, Yunhui Wu
In this article, we study the second eigenvalues of closed hyperbolic surfaces for large genus. We show that for every closed hyperbolic surface of genus , up…
The Cheeger constants of random Belyi surfaces
Yang Shen, Yunhui Wu
Brooks and Makover developed a combinatorial model of random hyperbolic surfaces by gluing certain hyperbolic ideal triangles. In this paper we show that for any , as the numb…
Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps
Yang Shen, Yunhui Wu
Let be the moduli space of hyperbolic surfaces of genus with punctures endowed with the Weil-Petersson metric. In this paper we study the asymptot…
Degenerating hyperbolic surfaces and spectral gaps for large genus
Yunhui Wu, Haohao Zhang, Xuwen Zhu
In this article we study the differences of two consecutive eigenvalues up to for the Laplacian on hyperbolic surfaces of genus , and show that the supr…
Optimal lower bounds for first eigenvalues of Riemann surfaces for large genus
Yunhui Wu, Yuhao Xue
In this article we study the first eigenvalues of closed Riemann surfaces for large genus. We show that for every closed Riemann surface of genus , the first e…
Random hyperbolic surfaces of large genus have first eigenvalues greater than
Yunhui Wu, Yuhao Xue
Let be the moduli space of hyperbolic surfaces of genus endowed with the Weil-Petersson metric. In this paper, we show that for any , as genus goes to infinity,…
The simple separating systole for hyperbolic surfaces of large genus
Hugo Parlier, Yunhui Wu, Yuhao Xue
In this note we show that the expected value of the separating systole of a random surface of genus with respect to Weil-Petersson volume behaves like as the genus g…
Large genus asymptotics for lengths of separating closed geodesics on random surfaces
Xin Nie, Yunhui Wu, Yuhao Xue
In this paper, we investigate basic geometric quantities of a random hyperbolic surface of genus with respect to the Weil-Petersson measure on the moduli space .…
A new uniform lower bound on Weil-Petersson distance
Yunhui Wu
In this paper we study the injectivity radius based at a fixed point along Weil-Petersson geodesics. We show that the square root of the injectivity radius based at a fixed point i…
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures
Martin Bridgeman, Yunhui Wu
In this article we show that for every finite area hyperbolic surface of type and any harmonic Beltrami differential on , then the magnitude of at any point…
Non-Existence of Geometric Minimal Foliations in Hyperbolic Three-Manifolds
Michael Wolf, Yunhui Wu
In this paper we show that every three-dimensional closed hyperbolic manifold admits no locally geometric -parameter family of closed minimal surfaces.
On ends of finite-volume noncompact manifolds of nonpositive curvature
Ran Ji, Yunhui Wu
In this paper we confirm a folklore conjecture which suggests that for a complete noncompact manifold of finite volume with sectional curvature , if the unive…
Small eigenvalues of closed Riemann surfaces for large genus
Yunhui Wu, Yuhao Xue
In this article we study the asymptotic behavior of small eigenvalues of Riemann surfaces for large genus. We show that for any positive integer , as the genus goes to infin…
The Weil-Petersson curvature operator on the universal Teichmüller space
Zheng Huang, Yunhui Wu
The universal Teichmüller space is an infinitely dimensional generalization of the classical Teichmüller space of Riemann surfaces. It carries a natural Hilbert structure, on which…
Growth of the Weil-Petersson inradius of moduli space
Yunhui Wu
In this paper we study the systole function along Weil-Petersson geodesics. We show that the square root of the systole function is uniformly Lipschitz on Teichmüller space endowed…
Rigidity of complex bounded domains with finite-volume quotients
Kefeng Liu, Le Kuai, Yunhui Wu
We prove that any bounded convex domain in admitting a finite-volume quotient is biholomorphic to a bounded symmetric domain. We first show that such a convex domain…
On the Weil-Petersson curvature of the moduli space of Riemann surfaces of large genus
Yunhui Wu
Let be a closed surface of genus and be the moduli space of endowed with the Weil-Petersson metric. In this paper we investigate the Weil-Petersson c…