4 papers
A dynamical system framework yielding quantitative inverse spectral results for Sturm-Liouville operators
Yuchao He, Yonghui Xia, Meirong Zhang
This paper establishes a dynamical-system framework that yields quantitative results for the inverse optimal spectral problem of reconstructing a potential from finite ob…
Rotation Numbers and Geometric Invariants in Bicycle Dynamics
Diantong Li, Qiaoling Wei, Meirong Zhang +1
We study planar bicycle dynamics via the rotation number function associated with a closed front track and bicycle length R. We prove that mode-locking plateaus occur only at integ…
Asymptotic stability of the spectra of generalized indefinite strings
Guixin Xu, Meirong Zhang, Zhe Zhou
This paper focuses on the asymptotic stability of the spectra of generalized indefinite strings (GISs). A unitarily equivalent linear relation is introduced for GISs. It is shown t…
The rotation number for almost periodic potentials with jump discontinuities and -interactions
David Damanik, Meirong Zhang, Zhe Zhou
We consider one-dimensional Schrödinger operators with generalized almost periodic potentials with jump discontinuities and -interactions. For operators of this kind we introduc…