Upper escape rate of Markov chains on weighted graphs
Upper escape rate of Markov chains on weighted graphs
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DOI：
10.1016/j.spa.2013.08.004
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发表时间：
2013-04
影响因子：
1.4
通讯作者：
Xueping Huang;Yuichi Shiozawa
中科院分区：
文献类型：
--
作者：
Xueping Huang;Yuichi Shiozawa
我们获得了在局部有限加权图上定义的连续时间最小对称马尔可夫链的上逃逸率函数。该上速率函数与流形设置具有相同的形式，以相对于适应路径度量的体积增长的形式给出。因此，我们的方法还给出了福尔兹保守性定理的弱形式。
We obtain an upper escape rate function for a continuous time minimal symmetric Markov chain defined on a locally finite weighted graph. This upper rate function, which has the same form as the manifold setting, is given in terms of the volume growth with respect to an adapted path metric. Our approach also gives a weak form of Folz’s theorem on the conservativeness as a consequence.