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921.
Kari Eloranta 《Journal of statistical physics》1994,76(5-6):1377-1398
We investigate the dynamics of ensembles of diffusive defects in one-dimensional deterministic cellular automata. The work builds on earlier results on individual random walks in cellular automata. Here we give a natural condition guaranteeing diffusive behavior also in the presence of other defects. Simple branching and birth mechanisms are introduced and prototype classes of cellular automata exhibiting weakly interacting walks capable of annihilation and coalescence are studied. Their equilibrium behavior is also characterized. The design principles of cellular automata with desired diffusive interaction properties become transparent from this analysis. 相似文献
922.
923.
Alexander Shapiro 《Annals of Operations Research》1991,30(1):169-186
In this paper we discuss a general approach to studying asymptotic properties of statistical estimators in stochastic programming. The approach is based on an extended delta method and appears to be particularly suitable for deriving asymptotics of the optimal value of stochastic programs. Asymptotic analysis of the optimal value will be presented in detail. Asymptotic properties of the corresponding optimal solutions are briefly discussed. 相似文献
924.
Erol Gelenbe
Andreas Stafylopatis
《Applied Mathematical Modelling》1991,15(10):534-541We define a simple form of homogeneous neural network model whose characteristics are expressed in terms of probabilistic assumptions. The networks considered operate in an asynchronous manner and receive the influence of the environment in the form of external stimulations. The operation of the network is described by means of a Markovian process whose steady-statesolution yields several global measures of the network's activity. Three different types of external stimulations are investigated, which represent possible input mechanisms. The analytical results obtained concern the macroscopic viewpoint and provide a quick insight into the structure of the network's behavior. 相似文献
925.
Hassan Allouba Rick Durrett John Hawkes Edwin Perkins 《Journal of Theoretical Probability》1997,10(3):773-794
We use supercritical branching processes with random walk steps of geometrically decreasing size to construct random measures. Special cases of our construction give close relatives of the super-(spherically symmetric stable) processes. However, other cases can produce measures with very smooth densities in any dimension. 相似文献
926.
927.
928.
Shu Nakamura 《Proceedings Mathematical Sciences》2002,112(1):183-187
In this note, we consider the Lifshitz singularity for Schrödinger operator with ergodic random magnetic field. A key estimate is an energy bound for magnetic Schrödinger operators as discussed in Nakamura [8]. Here we remove a technical assumption in [8], namely, the uniform boundedness of the magnetic field. 相似文献
929.
关于随机共轭空间的各种定义及随机线性泛函各种有界性的某些评论 总被引:2,自引:0,他引:2
中心目的是详细廉政论在随机共轭空间理论形成过程中所经历的三个阶段的工作,尤其指出了这三个阶段工作之间的联系及本质差别;给出了强有界、拓扑有界及几乎处处有界随机线性泛函之间的关系;亦指出了在概率赋范空间上线性算子理论研究中目前存在的不足. 相似文献
930.
From the comparison of correlation tensor in the theory of quantum network, the Alexander relation matrix in the theory of knot crystals and the identical inversion relations under the action of Pauli matrices, we show that there is a one to one correspondence between four Bell bases and four oriented links of the linkage 41 in knot theory. 相似文献