An Exact Numerical Approach to Calculate the First Passage Time for General Random Walks on a Network
XIE Yan-Bo1, LI Yu-Jian2, LI Ming1, XI Zhen-Dong2, WANG Bing-Hong1,3,4**
1Department of Modern Physics, University of Science and Technology of China, Hefei 230026 2Department of Satellite Measurement and Control on Sea of China, Jiangyin 214400 3College of Physics and Electronic Information Engineering, Wenzhou University, Wenzhou 325035 4School of Science, Southwest University of Science and Technology, Mianyang 621010
Abstract：We present an exact numerical method to calculate the mean first passage time for the random walk on the network between any source node and any target which contains an arbitrary number of nodes. For the network with the average degree <k>～O(1) and the effective diameter D ～lnN or less, the efficiency of our numerical approach is found to exceed all other general numerical methods presented in the literature. Our method can also calculate the average of any function of the first passage time, provided it is finite.
. [J]. 中国物理快报, 2013, 30(11): 110504-110504.
XIE Yan-Bo, LI Yu-Jian, LI Ming, XI Zhen-Dong, WANG Bing-Hong. An Exact Numerical Approach to Calculate the First Passage Time for General Random Walks on a Network. Chin. Phys. Lett., 2013, 30(11): 110504-110504.
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2013, Vol. 30 
