Y. Liu, Z. M. Ma, C. Zhou: Y. Liu, Z. M. Ma, C. Zhou



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Y. Liu, Z. M. Ma, C. Zhou:

  • Y. Liu, Z. M. Ma, C. Zhou:

  • Web Markov Skeleton Processes and Their Applications, Tohoku Math J. 63 (2011), 665-695

  • Y. Liu, Z. M. Ma, C. Zhou:

  • Further Study on Web Markov Skeleton Processes, in Stochastic Analysis and Applications to Finance,World Scientific,2012

  • C. Zhou: Some Results on Mirror Semi-Markov Processes, manuscript



































From probabilistic point of view,

  • From probabilistic point of view,

  • PageRank is the stationary distribution of a Markov chain.











Using only static web graph structure

  • Using only static web graph structure

  • Reflecting only the will of web managers,

  • but ignore the will of users e.g. the staying time of users on a web.

  • Can not effectively against spam and junk pages.





Markov property

  • Markov property











Stationary distribution:

    • Stationary distribution:
    • is the mean of the staying time on page i.
    • The more important a page is, the longer staying time on it is.
    • is the mean of the first re-visit time at page i. The more important a page is, the smaller the re-visit time is, and the larger the visit frequency is.
















Browse Rank the next PageRank

  • Browse Rank the next PageRank

  • says Microsoft



Browsing Processes will be a

  • Browsing Processes will be a

  • Basic Mathematical Tool in

  • Internet Information Retrieval

  • Beyond:

  • --General fromework of Browsing Processes?

  • --How about inhomogenous process?

  • --Marked point process

  • --Mobile Web: not really Markovian











[10] B. Gao, T. Liu, Z. M. Ma, T. Wang, and H. Li

  • [10] B. Gao, T. Liu, Z. M. Ma, T. Wang, and H. Li

  • A general markov framework for page importance computation, In proceedings of CIKM '2009,

  • [11] B. Gao, T. Liu, Y. Liu, T. Wang, Z. M. Ma and H. LI

  • Page Importance Computation based on Markov Processes, Information Retrieval

  • online first:





























































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