MOMENTS AND LARGE DEVIATIONS FOR SUPERCRITICAL BRANCHING PROCESSES WITH IMMIGRATION IN RANDOM ENVIRONMENTS

Let（Z_n） be a branching process with immigration in a random environment ξ,where ξ is an independent and identically distributed sequence of random variables.We show asymptotic properties for all the moments of Zn and describe the decay rates of the n-step transition probabilities.As applications,a large deviation principle for the sequence log Zn is established,and related large deviations are also studied.     

7-甲基鸟苷在玻碳电极上的伏安行为研究

研究了修饰核苷7-甲基鸟苷(7-Methylguanosine)的电化学行为及测定方法.在pH 1.98的B-R缓冲液中,用循环伏安法(CV),线性扫描伏安法(LSV)、微分脉冲伏安法(DPV)等现代电化学技术研究7-甲基鸟苷在玻碳电极(GCE)上的伏安行为.实验表明,7-甲基鸟苷在 1.036 V(vs.SCE)电位处产生一个阳极氧化峰,峰电流与7-甲基鸟苷的浓度在5.0×10-5-2.0×10-6mol/L范围内呈良好的线性关系,最低检测限(D=2σ/K)为4.1×10-7mol/L.并用恒电位库仑电解法等方法对其氧化机理进行了较为详细的探讨,得到了可能的电极反应机理:7-甲基鸟苷在玻碳电极上的电极反应是属于失1质子和2电子的不可逆的氧化反应.