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HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS
Liang, Yu-Xia,Zhou, Ze-Hua Korean Mathematical Society 2014 대한수학회지 Vol.51 No.2
In this paper we first characterize the hereditarily hypercyclicity of the unilateral (or bilateral) weighted shifts on the spaces $L^2(\mathbb{N},\mathcal{K})$ (or $L^2(\mathbb{Z},\mathcal{K})$) with weight sequence {$A_n$} of positive invertible diagonal operators on a separable complex Hilbert space $\mathcal{K}$. Then we give the necessary and sufficient conditions for the supercyclicity of those weighted shifts, which extends some previous results of H. Salas. At last, we give some conditions for the supercyclicity of three different weighted shifts.
THE RECURRENT HYPERCYCLICITY CRITERION FOR TRANSLATION C0-SEMIGROUPS ON COMPLEX SECTORS
Yu-Xia Liang,Zhi-Yuan Xu,Ze-Hua Zhou 대한수학회 2023 대한수학회보 Vol.60 No.2
Let $\{T_t\}_{t\in \Delta}$ be the translation semigroup with a sector $\Delta\subset \mathbb{C}$ as index set. The recurrent hypercyclicity criterion (RHCC) for the $C_0$-semigroup $\{T_t\}_{t\in \Delta}$ is established, and then the equivalent conditions ensuring $\{T_t\}_{t\in \Delta}$ satisfying the RHCC on weighted spaces of $p$-integrable and of continuous functions are presented. Especially, every chaotic semigroup $\{T_t\}_{t\in \Delta}$ satisfies the RHCC.
HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS
Yu-Xia Liang,Ze-Hua Zhou 대한수학회 2014 대한수학회지 Vol.51 No.2
In this paper we first characterize the hereditarily hyper- cyclicity of the unilateral (or bilateral) weighted shifts on the spaces L² (N,K) (or L²(Z,K)) with weight sequence {An} of positive invert- ible diagonal operators on a separable complex Hilbert space K. Then we give the necessary and sufficient conditions for the supercyclicity of those weighted shifts, which extends some previous results of H. Salas. At last, we give some conditions for the supercyclicity of three different weighted shifts.
DISJOINT SUPERCYCLIC WEIGHTED COMPOSITION OPERATORS
Liang, Yu-Xia,Zhou, Ze-Hua Korean Mathematical Society 2018 대한수학회보 Vol.55 No.4
In this paper, we discovered a sufficient condition ensuring the weighted composition operators $C_{{\omega}_1,{\varphi}_1},{\cdots},C_{{\omega}_N,{\varphi}_N}$ were disjoint supercyclic on $H({\Omega})$ endowed with the compact open topology. Besides, we provided a condition on inducing symbols to guarantee the disjoint supercyclicity of non-constant adjoint multipliers $M^*_{{\varphi}_1},M^*_{{\varphi}_2},{\cdots},M^*_{{\varphi}_N}$ on a Hilbert space ${\mathcal{H}}$.
Disjoint supercyclic weighted composition operators
Yu-Xia Liang,Ze-Hua Zhou 대한수학회 2018 대한수학회보 Vol.55 No.4
In this paper, we discovered a sufficient condition ensuring the weighted composition operators $C_{w_1,\varphi_1},\ldots,C_{w_N,\varphi_N}$ were disjoint supercyclic on $H(\Omega)$ endowed with the compact open topology. Besides, we provided a condition on inducing symbols to guarantee the disjoint supercyclicity of non-constant adjoint multipliers $M_{\varphi_1}^*, M_{\varphi_2}^*,\ldots, M_{\varphi_N}^*$ on a Hilbert space $\mathcal{H}$.
Fan Liang-Liang,Du Ran,Liu Ji-Shi,Jin Jie-Yuan,Wang Chen-Yu,Dong Yi,He Wan-Xia,Yan Ri-Qiang,Xiang Rong 생화학분자생물학회 2022 Experimental and molecular medicine Vol.54 No.-
Reticulon 3 (RTN3) is an endoplasmic reticulum protein that has previously been shown to play roles in neurodegenerative diseases, but little is known about its function in the kidneys. The aim of the present study was to clarify the roles of RTN3 in chronic kidney disease (CKD) and kidney fibrosis. In this study, RTN3 levels were measured in kidney tissues from healthy controls and CKD or kidney fibrosis patients. An RTN3-null mouse model was generated to explore the pathophysiological roles of RTN3 in the kidneys. The underlying mechanisms were studied in primary proximal tubular epithelial cells and HEK293 cells in vitro. The results showed that (1) a reduction in RTN3 in mice induces CKD and kidney fibrosis; (2) decreased RTN3 expression is found in patients with CKD; (3) RTN3 plays critical roles in regulating collagen biosynthesis and mitochondrial function; and (4) mechanistically, RTN3 regulates these phenotypes by interacting with GC-Rich Promoter Binding Protein 1 (GPBP1), which activates the IGF2-JAK2-STAT3 pathway. Our study indicates that RTN3 might play crucial roles in CKD and kidney fibrosis and that a reduction in RTN3 in the kidneys might be a risk factor for CKD and kidney fibrosis.
The impacts of Harmonia axyridis cues on foraging behavior of Aphidius gifuensis to Myzus persicae
Xia Peng-Liang,Yu Xing-Lin,Li Ze-Tao,Feng Yi 한국응용곤충학회 2021 Journal of Asia-Pacific Entomology Vol.24 No.1
This study investigated the effect of adult associated cues of the multicolored Asian ladybird Harmonia axyridis Pallas (Coleoptera: Coccinellidae) on the foraging behavior of the aphid parasitoid, Aphidius gifuensis Ashmead (Hymenoptera: Aphididae) with three assays: 1) whole aphid leaf-disc with H. axyridis tracks; 2) aphid leaf-disc with only half contaminated with H. axyridis tracks; 3) aphid leaf-discs without H. axyridis tracks. Foraging behavior of A. gifuensis was recorded using the Observer® XT 11 and EthoVsion® XT 12. In addition, functional responses of A. gifuensis in patches with or without H. axyridis cues were also tested. Aphidius gifuensis females preferred oviposition in arenas where no adult tracks of H. axyridis were present. However, no significant dif ference between functional responses of A. gifuensis foraging in plants with and without H. axyridis cues was detected. Our study suggests that H. axyridis associated cues could influence the foraging behavior and activity of A. gifuensis under laboratory conditions. On the other hand, the foraging efficiency of A. gifuensis was not significantly affected by H. axyridis walking tracks in a single plant system. Aphidius gifuensis might exhibit flexible behavioral responses to predator associated cues. The risk of intraguild interactions and the possibility of mitigating such risks for parasitoids are important components for ultimately determining the compatibility of biological control agents.
( Xia Gao ),( Xu Ping Fu ),( Tao Li ),( Jian Zi ),( Yao Luo ),( Qing Wei ),( Er Liang Zeng ),( Yi Xie ),( Yao Li ),( Yu Min Mao ) 생화학분자생물학회 2003 BMB Reports Vol.36 No.6
In microarray data mining, one of the key problems is how to handle weak signals. Based on a bent piecewise linear accumulated distribution generally found in the microarray data, a new detectable threshold finding method is proposed to filter genes with unreliable information in this paper. More reliable and reproducible data is produced for the subsequent data mining.
( Yu Zou ),( Shengwen Qi ),( Songfeng Guo ),( Zhifa Zhan ),( Xiaolin Huang ),( Bowen Zheng ),( Ning Liang ),( Jiaguo Xia ),( Xingxing Li ) 대한지질공학회 2019 대한지질공학회 학술발표회논문집 Vol.2019 No.2
Strong earthquakes such as the 2008 Wenchuan earthquake often induced numerous landslides, which resulted in a large number of casualties and property losses. Under a strong earthquake, a rock slope often produced a dynamic progressive failure. Understanding the process of the dynamic progressive failure of the rock slope is of great significance for the prediction and prevention of the co-seismic landslide. Generally, the numerical method is a feasible and economic alternative to solve this problem. However, previous studies presumed the failure surface and area in the numerical model, which cannot reproduce the dynamic progressive failure of the rock slope. In this paper, we applied the Universal Discrete Element method (UDEC) was adopted to quantitatively characterize the dynamic progressive failure process of the Wangjiayan co-seismic landslide triggered by 2008 Wenchan earthquake. Different from previous studies, there exists no presumed failure surface and area was was presumed in the UDEC model. The initiation, coalescence of the local fractures and the formation of the final failure surface were well simulated in a real-time way. Some key factors influencing the dynamic progressive failure of the rock slope were systematically explored. This study provided a new insight to understand the disaster-pregnant mechanism, evolution, and formation of the co-seismic landslide.