5 papers
Cantor Spectrum via a Reducibility-Duality Bridge for the Mosaic Almost Mathieu Operator
Jiawei He, Yuan Shan, Yongjian Wang
We study the mosaic Almost Mathieu operator, a quasiperiodic model that naturally admits a singular strip-Jacobi representation. By establishing a duality framework and extending t…
Non-Hermitian Anomalous Scaling Engineering
Shulin Wang, Jiawei He, Zhiyuan Yang +2
Non-Hermitian systems exhibit anomalous scaling, a striking departure from conventional bulk laws, rooted in the non-Hermitian skin effect (NHSE). Here, we experimentally uncover t…
Admissibility approach to nonuniform exponential dichotomies roughness with nonlocal perturbations
Jiawei He, Jianhua Huang
Nonuniform exponential dichotomy serves as an important characteristic of nonuniform hyperbolicity, while admissibility of function classes is often used to characterize nonuniform…
Permutation groups and symmetric Hecke algebras
Jiawei He, Xiaogang Li
The endomorphism algebras of the permutation modules for transitive permutation groups, known as Hecke algebras, are fundamental objects in representation theory. While group algeb…
Approximation for stochastic time-space fractional cable equations driven by rough noise
Jiawei He, Jianhua Huang, Fang Su
The time-space fractional cable equation arises from extending the generalized fractional Ohm's law to model anomalous diffusion processes. In this paper, we develop and analyze a…