Orbital Properties of Regular Chain

DOI: 10.4236/am.2014.521308   PDF   HTML   XML   3,023 Downloads   3,303 Views  


The strong Markov process had been obtained by Ray-Knight compacting; its orbit natures are discussed; the significance probability of kolmogorov forward and backward equations are explained.

Share and Cite:

Zhang, K. , Du, H. , Meng, H. and Ba, M. (2014) Orbital Properties of Regular Chain. Applied Mathematics, 5, 3311-3317. doi: 10.4236/am.2014.521308.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Rockner, M. and Wang, F.Y. (2004) Weak Poincare Inequalities and L2-Convergence Rates of Markov Semi-Groups. Journal of Functional Analysis, 185, 564-603.
[2] Xie, F.Y., Wu, B. and Hu, Y.M. (2013) A Generalized Markov Chain Model Based on Generalized Interval Probability. Science China Technological Sciences, 56, 2132-2136.
[3] Dong, J.C. (2006) Ray-Knight Compactification of Markov Chain. Ph.D., Zhengzhou University, Zengzhou.
[4] Xiao, Y.M. (2014) Criterion of Semi-Markov Dependent Risk Model. Acta Mathematica Sinica (English Series), 30, 1273-1280.
[5] Barthe, F., Cattiaux, P. and Roberto, C. (2007) Isoperimetry between Exponential and Gaussian. Electronic Journal of Probability, 12, 1212-1237.
[6] Barthe, F., Cattiaux, P. and Roberto, C. (2006) Interpolated Inequalities between Exponential and Gaussian, Orlicz Hyper Contractivity and Isoperimetry. Revista Matemática Iberoamericana, 22, 993-1066.
[7] Chen, L. (2012) Paths of Bilateral Birtth-Death Processes and Construction Theory(I). Journal of Henan University (Nature Science), 42, 337-342.
[8] Zhang, L.C. and Guo, M.Z. (2014) The Characterization of a Class of Quantum Markov Semi-Groups and the Associated Operator-Valued Dirichlet Forms Based on Hilbert C*-Module l2(A). Science China Mathematics, 57, 377-387.
[9] Chen, L. (2013) Paths of Bilateral Birth-Death Processes and Construction Theory(II). Journal of Henan University (Nature Sciencd), 43, 5-10.
[10] Zou, B., Xu, Z.B. and Xu, J. (2014) Generalization Bounds of ERM Algorithm with Markov Chain Samples. Acta Mathematicae Applicatae Sinica (English Series), 30, 223-238.
[11] Shimomura, H. (1994) Poisson Measures on Configuration Space and Unitary Representation of the Group of Diffeomorphisms. Journal of Mathematics of Kyoto University, 34, 599-614.
[12] Xu, C.W. and Yan, G.J. (2011) Martin Entrance Boundary and Ray-Knight Compactification of Minimal Q-Processes. Chinese Journal of Applied Probability and Statistics, 27, 633-641.
[13] Yang, W.J. (2014) Some Researches of Strong Limit Theorems for Markov Chains Indexed by Trees. Advances in Mathematics (China), 32, 206-218.
[14] Wen, S.F., Xu, M. and Wang, F.L. (2014) A New Method to Estimate Markov State Transition Probability Matrix. Mathematics in Practice and Theory, 44, 164-168.
[15] Wang, Z.K. (2005) Birth-Death Processes and Markov Chain. Science Press, Beijing.
[16] Xiang, X.Y. (2013) The Q-Matrix of Ring Markov Chain. ACTA Mathematica Sinica (Chinese Series), 56, 735-750.
[17] Luckock, H. (2003) A Steady-State Model of the Continuous Double Auction. Quantitative Finance, 3, 385-404.

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.