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Functional central limit theorem for super α-stable processes

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Science china mathematics 2004年第6期47卷 874-881页

作者： hong wenmingdepartment of mathematics, beijing normal university, beijing 100875, china department of mathematics Beijing Normal University Beijing China

A functional central limit theorem is proved for the centered occupation time process of the super α-stable processes in the finite dimensional distribution sense. For the intermediate dimensions α < d < 2α (0 < α ≤ 2), the limiting process is a Gaussian process, whose covariance is specified; for the critical dimension d= 2α and higher dimensions d < 2α, the limiting process is Brownian motion.

关键词： super α-stable processes occupation time central limit theorem evolution equation

Moderate deviations for the quenched mean of the super-Brownian motion with random immigration

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Science china mathematics 2008年第3期51卷 343-350页

作者： hong wenming School of Mathematical Sciences, Laboratory of mathematics and Complex Systems, Ministry of Education,beijing normal university, beijing 100875, china School of Mathematical Sciences Laboratory of Mathematics and Complex Systems Ministry of Education Beijing Normal University Beijing China

Moderate deviations for the quenched mean of the super-Brownian motion with random immigration are proved for 3≤d≤6, which fills in the gap between central limit theorem(CLT)and large deviation principle(LDP).

关键词： super-Brownian motion large deviation moderate deviation random immigration Primary 60J80 Secondary 60F05

On the stability of diffusion processes with state-dependent switching

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Science china mathematics 2006年第9期49卷 1258-1274页

作者： XI Fubao & ZHAO Liqin department of mathematics, beijing Institute of Technology, beijing 100081, china School of Mathematical Sciences, beijing normal university, beijing 100875, china department of mathematics Beijing Institute of Technology Beijing China School of Mathematical Sciences Beijing Normal University Beijing China

In this paper we consider the stability for diffusion processes with state-dependent switching. We first prove their Feller continuity by the coupling methods. Furthermore, we also prove their strong Feller continuity and their exponential ergodicity under some reasonable conditions. Finally, we append a very brief discussion about the regularity of these processes.

关键词： Feller continuity, coupling, strong Feller continuity, exponential ergodicity,state-dependent switching.

Effect of Bcl-2 and caspase-3 on calcium distribution in apoptosis of HL-60 cells

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Cell Research 2000年第3期10卷 213-220页

作者： ZHANG MIN, hong QING ZHANG, SHAO BAI XUE (department of Biology, beijing normal university, beijing 100875, china) department of Biology Beijing Normal University Beijing China

Apoptosis manifests in two major execution programs downstream of the death signal: the caspase pathway and organelle dysfunction. An important antiapoptosis factor, Bcl-2 protein, contributes in caspase pathway of apoptosis. Calcium, an important intracellular signal element in cells, is also observed to have changes during apoptosis, which maybe affected by Bcl-2 protein. We have previously reported that in Harringtonine (HT) induced apoptosis of HL-60 cells, there’s a change of intracellular calcium distribution, moving from cytoplast especially Golgi’s apparatus to nucleus and accumulating there with the highest concentration. We report here that caspase-3 becomes activated in HT-induced apoptosis of HL-60 cells, which can be inhibited by overexpression of Bcl-2 protein. No sign of apoptosis or intracellular calcium movement from Golgi’s apparatus to nucleus in HL-60 cells overexpressing Bcl-2 or treated with Ac-DEVD-CHO, a specific inhibitor of caspase-3. The results indicate that activated caspase-3 can promote the movement of intracellular calcium from Golgi’s apparatus to nucleus, and the process is inhibited by Ac-DEVD-CHO (inhibitor of caspase-3), and that Bcl-2 can inhibit the movement and accumulation of intracellular calcium in nucleus through its inhibition on caspase3. Calcium relocalization in apoptosis seems to be irreversible, which is different from the intracellular calcium changes caused by growth factor.

关键词： Apoptosis calcium caspase-3 bcl-2 laser scanning confocal microscopy (LSCM).

Quenched moderate deviations principle for random walk in random environment

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Science china mathematics 2010年第8期53卷 1947-1956页

作者： hong wenming 1 & WANG HuaMing 1,2 1 Key Laboratory of mathematics and Complex Systems of Ministry of Education & School of Mathematical Sciences,beijing normal university,beijing 100875,china 2 department of Basic Courses,Business College,beijing Union university,beijing 100025,china Key Laboratory of mathematics and Complex Systems of Ministry of Education & School of Mathematical Sciences Beijing Normal University Beijing China department of Basic Courses Business College Beijing Union University Beijing China

We derive a quenched moderate deviations principle for the one-dimensional nearest random walk in random environment,where the environment is assumed to be stationary and *** approach is based on hitting time decompos... 详细信息

关键词： random walk in random environment moderate deviations principle hitting time

Direct Electrochemistry of Myoglobin in DDAB-Clay Composite Films

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Chinese Chemical Letters 2000年第1期11卷 79-80页

作者： Nai Fei HU Zhen LI hong Yan MA (department of Chemistry, beijing normal university, beijing, 100875) department of Chemistry Beijing Normal University Beijing 100875 China

Ordered films were made by casting a mixture of aqueous dispersions of didodecyldimethylammonium bromide (DDAB)-clay composite and myoglobin (Mb) solution on pyrolytic graphite (PG) electrodes. The Mb-DDAB-clay film electrodes showed stable and reversible cyclic voltammetric responses in buffers and can catalyze the reduction of id (TCA).

关键词： myoglobin didodecyldimethylammonium bromide clay composite film electrode electrochemistry electrocatalysis

Characterization for commutators of n-dimensional fractional Hardy operators

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Science china mathematics 2007年第10期50卷 1418-1426页

作者： Zun-wei FU~(1,2) Zong-guang LIU~3 Shan-zhen LU~(1+) hong-bin WANG~3 ~1 School of Mathematical Sciences,beijing normal university,beijing 100875,china ~2 department of mathematics,Linyi normal university,Linyi 276005,china ~3 department of mathematics,china university of Mining and Technology (beijing),beijing 100083,china School of Mathematical Sciences Beijing Normal University Beijing China department of mathematics Linyi Normal University Linyi China department of mathematics China University of Mining and Technology (Beijing) Beijing China

In this paper,it was proved that the commutator H_(β,b)generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from L^(p1)(R^n)to L^(p2)(R^n)if and only if b is a CMO(R^... 详细信息

关键词： n-dimensional fractional Hardy operator, commutator, C(M)O function, homogeneous Herz space

Existence and Multiplicity of Periodic Solutions of the Second-Order Differential Equations with Jumping Nonlinearities

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Acta Mathematica Sinica,English Series 2002年第3期18卷 615-624页

作者： Zai hong WANG department of mathematics, Capital normal university. beijing 100037. P. R. china department of mathematics Capital Normal University Beijing P. R. China

We provide sufficient conditions for the existence and multiplicity of periodic solutions for Duffing's equations with jumping nonlinearities under resonance conditions.

关键词： Periodic solution Jumping nonlinearities Spectrum curve Time map

OSCILLATORY SINGULAR INTEGRALS WITH VARIABLE ROUGH KERNEL, Ⅱ

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Analysis in Theory and Applications 2003年第1期19卷 1-13页

作者： Tang Lin and Yang Dachun (beijing normal university, china) Tang Lin and Yang Dachun department of mathematics beijing normal university beijing 100875 P. R. china beijing normal university Beijing China department of mathematics Beijing Normal University Beijing 100875 China

Let n≥2. In this paper, the author establishes the L2 (Rx)-boundedness of some oscillatory singular integrals with variable rough kernels by means of some estimates on hyper geometric functions and confluent hyper ge... 详细信息

关键词： oscillatory singular integral variable rough kernel