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Complete Convergence and Complete Moment Convergence for Maximal Weighted Sums of Extended Negatively Dependent Random Variables

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Acta Mathematica Sinica,English Series 2018年第10期34卷 1501-1516页

作者： ji gao YAN School of Mathematical Sciences Soochow University C.A.S.E.-Center for Applied Statistics and Economics Humboldt-Universitt zu Berlin

In this paper, the complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables are investigated. Some sufficient conditions for the convergence are provided. In addition, the Marcinkiewicz Zygmund type strong law of large numbers for weighted sums of extended negatively dependent random variables is obtained. The results obtained in the article extend the corresponding ones for independent random variables and some dependent random variables.

关键词： Extended negatively dependent complete convergence complete moment convergence maximal weighted sums strong law of large numbers

NORMAL STRUCTURE AND SOME GEOMETRIC PARAMETERS RELATED TO THE MODULUS OF U-CONVEXITY IN BANACH SPACES

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Acta Mathematica Scientia 2011年第3期31卷 1035-1040页

作者： ji gao Satit Saejung Department of Mathematics Community College of Philadelphia Philadelphia PA 19130-3991 USA Department of Mathematics Faculty of Science Khon Kaen University Khon Kaen 40002 Thailand

We present a short and simple proof of the recent result of Yang and Wang [12]. Stimulated by their idea, two geometric parameters Uax（ε） and βx （ε）, both related to gao＇s modulus of U-convexity of a Banach space X, are introduced. Their properties and the relationships with normal structure are studied. Some existing results involving normal structure and fixed points for non-expansive mappings in Banach spaces are improved.

关键词： uniform normal structure modulus of convexity ultrapower

On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables

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Applied Mathematics(A Journal of Chinese Universities) 2021年第3期36卷 342-353页

作者： Anna Kuczmaszewska YAN ji-gao Department of Applied Mathematics Lublin University of TechnologyNadbystrzycka 38 D20-618 LublinPoland School of Mathematical Sciences Soochow UniversitySuzhou 215006China

We consider a generalization of Baum-Katz theorem for random variables satisfying some cover ***,we get the results for many dependent structures,such as END,ϱ^(*)mixing,ϱ^(-)mixing andφ-mixing,etc.

关键词： complete convergence Marcinkiewicz-Zygmund type SLLN weakly mean bounded

Prognostic value of glypican-3 in patients with HBV-associated hepatocellular carcinoma after liver transplantation

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Hepatobiliary & Pancreatic Diseases International 2015年第2期14卷 157-163页

作者： Xiao Cui Zhao Li Peng-ji gao jie gao ji-Ye Zhu Department of Hepatobiliary Surgery Peking University People's Hospital

BACKGROUND：Glypican-3（GPC-3）is frequently overexpressed in hepatocellular carcinoma（HCC）.Recent studies have shown that GPC-3 is a highly efficient diagnostic biomarker of HCC and an indicator of poor prognosis in HCC patients who have undergone ***,its prognostic value in patients with HBV-associated HCC after liver transplantation（LT）is not *** present study is to evaluate the prognostic value of GPC-3 in patients with HBV-associated HCC after ***： A cohort of 104 HCC patients with HBV-associ- ated cirrhosis who had undergone LT at our hospital between 2002 and 2011 were enrolled in this study. Samples of HCC were taken from these patients. GPC-3 protein expression was detected in paraffin-embedded specimens using immunohis- tochemistry. All related clinical data were obtained from the China Liver Transplant Registry. The relationship between GPC-3 expression and clinicopathological parameters was analyzed. Univariate and multivariate Cox-regression analyses were used to identify risk factors for poor prognosis. RESULTS： GPC-3 was expressed in samples from 74 （71.2%） of the 104 patients. GPC-3 was expressed only in HCC cells. Positive staining was correlated with tumor size （P=0.004）, encapsulation （P=0.018）, pathological stage （P--0.027）, portal vein invasion （P=0.043）, tumor differentiation （P=0.002） and the Milan criteria （P=0.016）. The 5-year survival rate and dis- ease-free survival rate of patients with GPC-3-positive were lower than those （38.2% vs 75.4%, P〈0.001; 30.8% vs 69.7%, P=0.001） of patients with GPC-3-negative. Multivariate Coxregression analysis revealed that GPC-3 was an independent risk factor for 5-year survival rate （P=0.031） and disease-free survival rate （P=0.047）, together with tumor differentiation, Milan criteria and pre-operative ***： GPC-3 is a potential biomarker for poor prognosis after LT in HCC patients with HBV-associated cirrhosis.

关键词： liver transplantation hepatitis B hepatocellular carcinoma glypican-3

Periodic Windows in Weakly Coupled Map Lattices

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Communications in Theoretical Physics 2008年第3期49卷 669-672页

作者： gao ji-Hua ZHAN Meng Wuhan Institute of Physics and Mathematics The Chinese Academy of Sciences Wuhan 430071 China Shenzhen Key Laboratory of Special Functional Materials College of Materials Shenzhen University Shenzhen 518060 China

The periodic windows in weakly coupled map lattices with both diffusive and gradient couplings are studied. By using the mode analysis method, which reduces the behavior of the coupled systems to a few numbers of independent modes, we theoretically analyze the detailed structures of the periodic windows. We find that the gradient coupling greatly enlarges the width of the periodic windows, compared with the diffusive coupling.

关键词： periodic windows coupled map lattices mode analysis method

Fine Mapping of Spr3, a Locus for Spreading Panicle from African Cultivated Rice （Oryza glaberrima Steud.）

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Molecular Plant 2008年第5期1卷 830-838页

作者： ji-jing Luo Wei Hao jian jin ji-Ping gao Hong-Xuan Lin National Key Laboratory of Plant Molecular Genetics Shanghai Institute of Plant Physiology and Ecology Shanghai Institutes for Biological Sciences The Chinese Academy of Sciences Graduate School of the Chinese Academy of Sciences 300 Fenglin Road Shanghai 200032 China

A CSSL （chromosome segment substitution line）, SG-64, carrying a segment of chromosome 4 from African cultivated rice （CG-14） in the genetic background of var. Wuyujing-7 （japonica）, showed a spreading panicle, which was different significantly from that of Wuyujing-7 with an erect compact panicle. The gene controlling a spreading panicle is referred to as Spr3, and is mapped on chromosome 4. To uncover the genetic basis of Spr3, a large F2 population derived from cross between SG-64 and Wuyujing-7 was constructed for fine mapping of the Spr3 locus. The high-resolution linkage analysis revealed that the Spr3 locus was narrowed down to a 4.6-kb region. The delimited genomic DNA regions of Wuyujing-7 and CG-14 were sequenced and compared. Sequence mutations between Wuyujing-7 and CG-14 were evident and the candidate genes for the locus were predicted. Publicly available databases were searched for homologous cDNA sequences. However, any coding regions or other meaningful sequences for the Spr3 locus were not found within this delimited region. This result suggested that Spr3 is an unknown genetic factor in controlling the outspreading of the primary branches in rice inflorescence. In addition, NIL（Spr3） exhibited seed shattering. The formation of spreading panicle was accompanied by a few undesirable traits and the spreading panicle links with seed shattering suggest that the spreading panicle was likely lost during the domestication and selection for high seed productivity of cultivated rice.

关键词： rice spreading panicle fine mapping molecular marker.

Forest soil conservation based on eco-service provision unit method and its value in Anji County,Huzhou,Zhejiang,China

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Journal of Forestry Research 2015年第2期26卷 405-415页

作者： Biao Zhang ji-xi gao gao-di Xie Chun-xia Lu Institute of Geographical Sciences and Natural Resources Research Chinese Academy of Science Nanjing Institute of Environmental Sciences Ministry of Environmental Protection

We propose an eco-service provision unit method for estimating the benefit and spatial differences of forests in controlling soil erosion.A total of 197 eco-service provision units were grouped on 1424.43 km2 of forest according to differences in vegetation,slope,soil,and *** amount of soil conservation and its economic value were *** forests in Anji County prevent4.08 9 105 tons of soil from eroding annually,thereby avoiding 1.36 9 104 tons of nutrient loss（on-site cost） and preventing 149 tons of nutritive elements from entering water systems（off-site cost）.From an economic perspective,the soil nutrient conservation in the forests of Anji County generated an annual benefit of 43.37 million RMB（Chinese Currency,6.20 RMB = US$1）.On average,each hectare of ecological forest contributed up to 436 RMB annually because of soil *** complexes with higher rainfall intensity,such as broadleaf forest and red soil on slope gradients [25°,contributed the highest soil conservation *** study identified and quantified the dominant contributors and magnitudes of soil conservation provided by *** information can benefit decision making regarding differentiated ecological compensation policies.

关键词： Soil erosion and conservation Eco-service provision unit(ESPU) Rainfall erosivity Soil erodibility Universal Soil Loss Equation(USLE)

Understanding Abiotic Stress Tolerance Mechanisms：Recent Studies on Stress Response in Rice

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Journal of Integrative Plant Biology 2007年第6期49卷 742-750页

作者： ji-Ping gao Dai-Yin Chao Hong-Xuan Lin National Key Laboratory of Plant Molecular Genetics Shanghai Institute of Plant Physiology and Ecology Shanghai Institute for Biological Sciences the Chinese Academy of Sciences Graduate School of the Chinese Academy of Sciences Shanghai 200032 China

Abiotlc stress is the main factor negatively affecting crop growth and productivity worldwide. The advances In physiology, genetics, and molecular biology have greatly Improved our understanding of plant responses to stresses. Rice plants are sensitive to various ablotlc stresses, in this short review, we present recent progresses In adaptation of rice to salinity, water deficit and submergence. Many studies show that salt tolerance Is tightly associated with the ability to maintain Ion homeostasis under salinity. Na^＋ transporter SKC1 unloads Na^＋from xylem, plasma membrane Na^＋/H^＋ antlporter SOS1 excludes sodium out of cytosol and tonoplast Na^＋/H^＋ antlporter NHX1 sequesters Na^＋ Into the vacuole. Silicon deposition in exodermls and endodermis of rice root reduces sodium transport through the apoplastlc pathway. A number of transcription factors regulate stress-Inducible gene ex- presslon that leads to Initiating stress responses and establishing plant stress tolerance. Overexpresslon of some transcription factors, Including DREB/CBF and NAC, enhances salt, drought, and cold tolerance In rice. A variant of one of ERF family genes, SublA-1, confers Immersion tolerance to lowland rice. These findings and their exploitation will hold promise for engineering breeding to protect crop plants from certain ablotic stresses.

关键词： abiotic stress sodium transport transcription factor submergence tolerance rice.

Esophagogastric devascularization without splenectomy in portal hypertension: safe and effective?

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Hepatobiliary & Pancreatic Diseases International 2015年第3期14卷 276-280页

作者： Yan-Bin Ni Peng-ji gao Dong Wang Zhao Li ji-Ye Zhu Department of Hepatobiliary Surgery Peking University People's Hospital

BACKGROUND： Esophagogastric variceal hemorrhage is a life-threatening complication of portal hypertension. In this study, we compared the therapeutic effect of a novel surgi- cal procedure, esophagogastric devascularization without splenectomy （EDWS）, with the widely used modified esopha- gogastric devascularization （MED） with splenectomy for the treatment of portal hypertension.

关键词： portal hypertension esophagogastric devascularization without splenectomy portal vein system thrombosis