论文标题
马尔可夫属性的高斯字段
Markov properties for Gaussian fields associated with Dirichlet forms
论文作者
论文摘要
我们证明了与Dirichlet形式相关的高斯字段的不可还原常规迪里奇表格和马尔可夫属性的等效性。此外,我们为高斯田地引入了强大的马尔可夫属性,并提出了一些足够的条件来持有。
We prove the equivalence of the local property for an irreducible regular Dirichlet form and the Markov property for the Gaussian field associated with the Dirichlet form. Moreover we introduce a strong Markov property for Gaussian fields and present some sufficient conditions for this to hold.