3 papers
math-ph2026
The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactions
Hongzi Cong, Wanran Ding, Zhihan Zhang +1
We prove the existence of full dimensional KAM tori for infinite dimensional mechanical systems exhibiting long range interactions, under a Diophantine condition of Bourgain type […
cond-mat.mtrl-sci2023
Tuning the Magnetism in Ultrathin CrxTey Films by Lattice Dimensionality
Guangyao Miao, Minghui Gu, Nuoyu Su +7
Two-dimensional (2D) magnetic transition metal compounds with atomic thickness exhibit intriguing physics in fundamental research and great potential for device applications. Under…
math.DS2023
Localization for random coupled harmonic oscillators on
Hongzi Cong, Yunfeng Shi, Zhihan Zhang
In this paper we consider the localization properties of coupled harmonic oscillators in random media. Each of these oscillators is restricted to the lattice . We sho…