Let(Z_(n))be a branching process with immigration in a random environmentξ,whereξis an independent and identically distributed sequence of random variables.We show asymptotic properties for all the moments of Z_(n) ...Let(Z_(n))be a branching process with immigration in a random environmentξ,whereξis an independent and identically distributed sequence of random variables.We show asymptotic properties for all the moments of Z_(n) and describe the decay rates of the n-step transition probabilities.As applications,a large deviation principle for the sequence log Z_(n) is established,and related large deviations are also studied.展开更多
Lithium ion batteries(LIBs)have been widely used in portable and smart devices because of their high energy densities,long cycle life and environmental friendliness.In order to meet the evergrowing demand for human-be...Lithium ion batteries(LIBs)have been widely used in portable and smart devices because of their high energy densities,long cycle life and environmental friendliness.In order to meet the evergrowing demand for human-beings utilizing electronic devices,electric vehicles and energy storage grids.展开更多
We consider anR^(d)-valued discrete time branching random walk in an independent and identically distributed environment indexed by time n∈N.Let W_(n)(z)(z∈C^(d))be the natural complex martingale of the process.We s...We consider anR^(d)-valued discrete time branching random walk in an independent and identically distributed environment indexed by time n∈N.Let W_(n)(z)(z∈C^(d))be the natural complex martingale of the process.We show necessary and sufficient conditions for the L^(α)-convergence of W_(n)(z)forα>1,as well as its uniform convergence region.展开更多
Brannerite-type NaVMoO6 with vanadium(V5+) and molybdenum(Mo6+) elements in the highest valence states is synthesized by a sol-gel method using Na2CO3, NH4VO3, MoO3 and citric acid reagents. The results of X-ray diffr...Brannerite-type NaVMoO6 with vanadium(V5+) and molybdenum(Mo6+) elements in the highest valence states is synthesized by a sol-gel method using Na2CO3, NH4VO3, MoO3 and citric acid reagents. The results of X-ray diffraction(XRD) with Rietveld refinement and X-ray photoelectron spectroscopy(XPS) show that the obtained NaVMoO6 sample is single-phase. Novel electrode material(NaVMoO6) with layered structure is first utilized as cathode material for lithium ion batteries(LIBs). The NaVMoO6 electrode delivers reversible specific capacity of 126.4 mA h g-1 at 5 mA g-1 after 50 cycles. The stable structure of NaVMoO6 is corroborated by ex-situ XRD, suggesting that this material is considered as a prospective cathode for LIBs. This studying enriches the possibilities of molybdenum-based materials as cathodes for LIBs.展开更多
基金partially supported by the National Nature Science Foundation of China(11601286,11501146)。
文摘Let(Z_(n))be a branching process with immigration in a random environmentξ,whereξis an independent and identically distributed sequence of random variables.We show asymptotic properties for all the moments of Z_(n) and describe the decay rates of the n-step transition probabilities.As applications,a large deviation principle for the sequence log Z_(n) is established,and related large deviations are also studied.
基金financial support from the“Young Talent Fellowship”program through South China University of Technologythe Fundamental Research Funds for the Central Universities(2018JQ06)。
文摘Lithium ion batteries(LIBs)have been widely used in portable and smart devices because of their high energy densities,long cycle life and environmental friendliness.In order to meet the evergrowing demand for human-beings utilizing electronic devices,electric vehicles and energy storage grids.
基金This work was supported in part by the National Natural Science Foundation of China(Nos.11601019,11971063,11501146)the Scientific Research Project of Beijing Municipal Education(Grant No.SQKM201610011006).
文摘We consider anR^(d)-valued discrete time branching random walk in an independent and identically distributed environment indexed by time n∈N.Let W_(n)(z)(z∈C^(d))be the natural complex martingale of the process.We show necessary and sufficient conditions for the L^(α)-convergence of W_(n)(z)forα>1,as well as its uniform convergence region.
基金funded by NSFC Grant (No. 51672086)the Science and Technology Bureau of Guangdong Government (No. 2017B030308005)the project (No. 2019622163008) of the Science and Technology Bureau from Dongguan Government。
文摘Brannerite-type NaVMoO6 with vanadium(V5+) and molybdenum(Mo6+) elements in the highest valence states is synthesized by a sol-gel method using Na2CO3, NH4VO3, MoO3 and citric acid reagents. The results of X-ray diffraction(XRD) with Rietveld refinement and X-ray photoelectron spectroscopy(XPS) show that the obtained NaVMoO6 sample is single-phase. Novel electrode material(NaVMoO6) with layered structure is first utilized as cathode material for lithium ion batteries(LIBs). The NaVMoO6 electrode delivers reversible specific capacity of 126.4 mA h g-1 at 5 mA g-1 after 50 cycles. The stable structure of NaVMoO6 is corroborated by ex-situ XRD, suggesting that this material is considered as a prospective cathode for LIBs. This studying enriches the possibilities of molybdenum-based materials as cathodes for LIBs.
