activity
20192023
most citedLee filtration structure of torus links

1 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

cs.RO2023

Intention-Aware Planner for Robust and Safe Aerial Tracking

Qiuyu Ren, Huan Yu, Jiajun Dai +6

Autonomous target tracking with quadrotors has wide applications in many scenarios, such as cinematographic follow-up shooting or suspect chasing. Target motion prediction is neces…

math.GT2023

Slice genus bound in from -invariant

Qiuyu Ren

We prove a recent conjecture of Manolescu-Willis which states that the -invariant of a knot in (as defined by them) gives a lower bound on its null-homologous sl…

math.GT2023★ 1 cited

Lee filtration structure of torus links

Qiuyu Ren

We determine the quantum filtration structure of the Lee homology of all torus links. In particular, this determines the -invariant of a torus link equipped with any orientation…

math.CO2023

A Short Proof to Defant and Kravitz's theorem on the Length of Hitomezashi Loops

Qiuyu Ren, Shengtong Zhang

We provide a shorter proof to Defant and Kravitz's theorem (arXiv:2201.03461, Theorem 1.2) on the length of Hitomezashi loops modulo 8.

math.SP2022★ 1 cited

Spectral asymptotics for kinetic Brownian motion on Riemannian manifolds

Qiuyu Ren, Zhongkai Tao

We prove the convergence of the spectrum of the generator of the kinetic Brownian motion to the spectrum of the base Laplacian for closed Riemannian manifolds. This generalizes rec…

math.SP2022

Spectral asymptotics for kinetic Brownian motion on locally symmetric spaces

Qiuyu Ren, Zhongkai Tao

We prove the strong convergence of the spectrum of the kinetic Brownian motion to the spectrum of base Laplacian for a large class of compact locally Riemannian homogeneous spaces,…

math.CA2019

On the union of essentially distinct -tubes

Qiuyu Ren

We say two -tubes (dimension ) in are essentially distinct if the measure of their intersection is smaller than a half of a single $δ…