3 papers
math.DG2025
Spectral gaps for noncompact hyperbolic surfaces with linearly many cusps
Qi Guo, Bobo Hua, Yang Shen
We construct complete finite-area noncompact hyperbolic surfaces with linearly many cusps and a uniform spectral gap. More precisely, for every \(θ>0\), we construct a sequence \(S…
math.AP2023
The Spectrum Zero Problem of nonlinear Dirac equation with particle-antiparticle interaction
Qi Guo, Yuanyuan Ke, Bernhard Ruf
In this study, we investigate the Spectrum Zero Problem of nonlinear Dirac equations with a focus on the behavior of zero at the boundaries of the spectral gap. We introduce a nonl…
nlin.CD2019
An almost-solvable model of complex network dynamics
Qi Guo, Artur Sowa
We discuss a specific model, which we refer to as RandLOE, of a large multi-agent network whose dynamic is prescribed via a combination of deterministic local laws and random exoge…