3 citations · 3 across the 14 of their papers we have counts for
7 papers · 1 filter
Skew-product groups of finite abelian -groups
Jiawei He
A skew-morphism of a finite group is a permutation of fixing the identity element such that there exists a function satisfying $σ(xy)=σ(x)σ^{π(…
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…
Long-time dynamics for time-nonlocal generalized Rayleigh-Stokes equations
Li Peng, Lin Deng, Jia Wei He
In this paper, we consider an autonomous semi-dynamical system driven by semilinear time-nonlocal evolution equations, these type equations are used to describe the Rayleigh-Stokes…
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 +1
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…