Zhe Zhou

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20212025

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math.DS2025

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…

math.DS2021

The rotation number for almost periodic potentials with jump discontinuities and $δ$ -interactions

David Damanik, Meirong Zhang, Zhe Zhou

We consider one-dimensional Schrödinger operators with generalized almost periodic potentials with jump discontinuities and $δ$ -interactions. For operators of this kind we introduc…

Rotation Numbers and Geometric Invariants in Bicycle Dynamics

The rotation number for almost periodic potentials with jump discontinuities and δ-interactions

The rotation number for almost periodic potentials with jump discontinuities and $δ$ -interactions