检索结果-南通市图书馆

维普期刊数据库

Quenched moderate deviations principle for random walk in random environment

在线全文

学校读者我要写书评

暂无评论

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

维普期刊数据库

关于奇数维流形上规范化的Ricci流的一个注记(英文)

在线全文

学校读者我要写书评

暂无评论

数学研究 2010年第2期43卷 131-134页

作者：黄红北京师范大学数学科学学院数学与复杂系统教育部重点实验室

设（Mn,g0）（n奇数）是紧Riemannian流形,λ（g0）>0,这里λ（g0）是算子-4△g0+R（g0）的第一特征值,R（g0）是（Mn,g0）的数量曲率.设以（Mn,g0）为初值的规范化的Ricci流的极大解g（t）满足|R（g（t））|≤C和∫M|Rm（g（t））|n/2d... 详细信息

关键词： Ricci流无局部塌缩非奇异解

关于非紧流形上的Ricci流的一个注记(英文)

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

数学研究 2009年第4期42卷 351-355页

作者：黄红北京师范大学数学科学学院数学与复杂系统教育部重点实验室

设（M3,g0）是非紧三维Riemann流形,其Ricci曲率非负,单射半径有正的下界,且当x→∞时数量曲率R（x）→0。则以（M3,g0）为初始值的Ricci流在M3×[0,∞)上有长期解。这推广了马和朱最近的一个结果。在高维情形我们也有相应的结果,并且... 详细信息

设（M3,g0）是非紧三维Riemann流形,其Ricci曲率非负,单射半径有正的下界,且当x→∞时数量曲率R（x）→0。则以（M3,g0）为初始值的Ricci流在M3×[0,∞)上有长期解。这推广了马和朱最近的一个结果。在高维情形我们也有相应的结果,并且我们给Chau,Tam和Yu在Khler情形的类似定理一个新的证明。

关键词： Ricci流无局部塌缩定理拟局域定理渐近体积比

Fixed points of smoothing transformation in random environment

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Frontiers of mathematics in china 2021年第4期16卷 1191-1210页

作者： Xiaoyue ZHANG wenming hong school of Statistics Capital University of Economics and BusinessBeijing 100070China school of mathematical sciences Laboratory of Mathematics and Complex SystemsBeijing Normal UniversityBeijing 100875China

At each time n∈N,let Y^(n)(ξ)=(y^(n)_(1)(ξ),y^(n)_(2)(ξ),…)be a random sequence of non-negative numbers that are ultimately zero in a random environmentξ=(ξ_(n))n∈*** existence and uniqueness of the non-negative fixed points of the associated smoothing transformation in random environment are *** fixed points are solutions to the distributional equation for a.e.ξ,Z(ξ)=dΣ_(i∈N_(+))y^(0)_(i)(ξ)Z^(1)_(i)(ξ),where{Z^(1)_(i):i∈N_(+)}are random variables in random environment which satisfy that for any environmentξ,under P_(ξ),{Z^(1)_(i)(ξ):i∈N_(+)}are independent of each other and Y^(0)(ξ),and have the same conditional distribution P_(ξ)(Z^(1)_(i)(ξ)∈·)=P_(Tξ)(Z(Tξ)∈·),where T is the shift *** extends the classical results of ***[***.,1977,14:25-37]to the random environment *** an application,the martingale convergence of the branching random walk in random environment is given as well.

关键词： Smoothing transformation functional equation branching random walk random environment martingales

On the transience and recurrence of Lamperti’s random walk on Galton-Watson trees

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science china mathematics 2019年第9期62卷 1813-1822页

作者： wenming hong Minzhi Liu school of mathematical sciences & laboratory of mathematics and complex systems Beijing Normal University

In a Galton-Watson tree generated by a supercritical branching process with offspring N and EN =:m > 1, the conductance assigned to the edge between the vertex x and its parent x* is denoted by C(x) and given by C(x) =(λ +A/|x|α)-|x|, where |x| is the generation of the vertex x. For(Xn)n≥0, a C(x)-biased random walk on the tree, we show that (1) when λ≠ m, α > 0,(Xn)n≥0 is transient/recurrent according to whether λ m, respectively;(2) when λ = m, 0 0, *** particular, if P(N = 1) = 1, the C(x)-biased random walk is Lamperti’s random walk on the nonnegative integers(see Lamperti(1960)).

关键词： inhomogeneous biased random walk on the branching tree transience recurrence time-inhomogeneous branching process

维普期刊数据库

Scaling limit theorem for transient random walk in random environment

在线全文

学校读者我要写书评

暂无评论

Frontiers of mathematics in china 2018年第5期13卷 1033-1044页

作者： wenming hong Hui YANG school of mathematical sciences & laboratory of mathematics and complex systems Beijing Normal University Beijing 100875 China College of Science Minzu University of China Beijing 100081 China

We construct a sequence of transient random walks in random environments and prove that by proper scaling, it converges to a diffusion process with drifted Brownian potential. To this end, we prove a counterpart of co... 详细信息

关键词： Random walk random environment diffusion process Brownian motion with drift

Extremum of a time-inhomogeneous branching random walk

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Frontiers of mathematics in china 2021年第2期16卷 459-478页

作者： Wanting HOU Xiaoyue ZHANG wenming hong Department of mathematics Northeastern UniversityShenyang 110004China school of Statistics Capital University of Economics and BusinessBeijing 100070China school of mathematical sciences&laboratory of mathematics and complex systems Beijing Normal UniversityBeijing 100875China

Consider a time-inhomogeneous branching random walk, generated by the point process Ln which composed by two independent parts: ‘branching’offspring Xn with the mean 1+B(1+n)−β for β∈(0,1) and ‘displacement’ ξn with a drift A(1+n)^(−2α) for α∈(0,1/2), where the ‘branching’ process is supercritical for B>0 but ‘asymptotically critical’ and the drift of the ‘displacement’ ξn is strictly positive or negative for |A|>0 but ‘asymptotically’ goes to zero as time goes to infinity. We find that the limit behavior of the minimal (or maximal) position of the branching random walk is sensitive to the ‘asymptotical’ parameter β and α.

关键词： Branching random walk time-inhomogeneous branching process random walk

Scaling limit of local time of Sinai＇s random walk

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Frontiers of mathematics in china 2015年第6期10卷 1313-1324页

作者： wenming hong Hui YANG Ke ZHOU school of mathematical sciences & laboratory of mathematics and complex systems Beijing Normal University Beijing 100875 China school of Statistics University of International Business and Economics Beijing 100029China

We prove that the local times of a sequence of Sinai＇s random walks converge to those of Brox＇s diffusion by proper scaling. Our proof is based on the intrinsic branching structure of the random walk and the converg... 详细信息

关键词： Sinai's random walk random environment local time Brox's diffusion branching process

Light-tailed behavior of stationary distribution for state-dependent random walks on a strip

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Frontiers of mathematics in china 2014年第4期9卷 813-834页

作者： wenming hong Meijuan ZHANG Yiqiang Q. ZHAO school of mathematical sciences & laboratory of mathematics and complex systems Beijing Normal University Beijing 100875 China school of Statistics and mathematics Central University of Finance and EconomicsBeijing 100081 China school of mathematics and Statistics Carleton University Ottawa Ont K1S 5B6 Canada

We consider the state-dependent reflecting random walk on a half- strip. We provide explicit criteria for （positive） recurrence, and an explicit expression for the stationary distribution. As a consequence, the light-tailed behavior of the stationary distribution is proved under appropriate conditions. The key idea of the method employed here is the decomposition of the trajectory of the random walk and the main tool is the intrinsic branching structure buried in the random walk on a strip, which is different from the matrix-analytic method.

关键词： Random walk on a strip stationary distribution light-tailedbehavior branching process recurrence state-dependent