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Science in China Series A: Mathematics

, Volume 48, Issue 7, pp 904–914 | Cite as

Standard tri-point transition function

  • Xie Yuquan
Article

Abstract

It is usually difficult to express a family of tri-point transition function (TTF) by a transition matrix as Markov processes with one parameter. In this paper, we define three kinds of connection matrixes on the states of standard tri-point transition function (STTF) and study their essential character, give a constructive method on the constant-value standard tri-point transition function and a general expression of the state-symmetric standard tri-point transition function by a sequence of the transition matrixes of special and simple Markov processes with one parameter.

Keywords

tri-point transition function standard constant-value state-symmetry connection matrix Markov processes 

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Copyright information

© Science in China Press 2005

Authors and Affiliations

  1. 1.School of Mathematics and Computational ScienceXiangtan UniversityXiangtanChina

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