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On some mixing times for nonreversible finite Markov chains

  • Lu-Jing Huang (a1) and Yong-Hua Mao (a1)


By adding a vorticity matrix to the reversible transition probability matrix, we show that the commute time and average hitting time are smaller than that of the original reversible one. In particular, we give an affirmative answer to a conjecture of Aldous and Fill (2002). Further quantitive properties are also studied for the nonreversible finite Markov chains.


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* Postal address: Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China.
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On some mixing times for nonreversible finite Markov chains

  • Lu-Jing Huang (a1) and Yong-Hua Mao (a1)


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