Large deviations and the maximum entropy principle for marked point random fields
Large deviations and the maximum entropy principle for marked point random fields
复制标题
标记点随机场的大偏差与最大熵原理
DOI：
10.1007/bf01192132
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发表时间：
1993
影响因子：
2
通讯作者：
H. Zessin
中科院分区：
文献类型：
--
作者：
H. Georgii;H. Zessin
我们建立了Poisson的平稳场和单个经验场，以及某些相互作用的随机场的大偏差原理。底层拓扑是由一类不一定有界的局部函数诱导的，因此比通常的弱拓扑更精细。我们的方法产生进一步的限制行为的条件泊松分布，以及某些分布的吉布斯型，是由最大熵原理。我们还讨论了各种应用程序和例子。
SummaryWe establish large deviation principles for the stationary and the individual empirical fields of Poisson, and certain interacting, random fields of marked point particles in ℝd. The underlying topologies are induced by a class of not necessarily bounded local functions, and thus finer than the usual weak topologies. Our methods yield further that the limiting behaviour of conditional Poisson distributions, as well as certain distributions of Gibbsian type, is governed by the maximum entropy principle. We also discuss various applications and examples.