Dissertation > Excellent graduate degree dissertation topics show

The Finite-dimension Decomposition Theorem

Author: WangYanLi
Tutor: YanGuoJun
School: Zhengzhou University
Course: Applied Mathematics
Keywords: resolvent additive functionals excursion measure the minimal process Boundary process
CLC: O211.62
Type: Master's thesis
Year: 2008
Downloads: 12
Quote: 0
Read: Download Dissertation

Abstract


This paper includes the following two parts: In part one the anther introduce mainly some signals ,definitions and theorems; there are the content and the proof of the finite-dimension decomposition theorem in part two. For the problem of the resolvent’s decomposition, Professor Hou discussed it in details in the Book of Q-Matrix problem of Markov Processes and proved it in the analytical way; In addition, Minoru Motoo applied additive functionals to the boundary problem of Markov processes and decomposed the resolvent in the paper of application of additive functionals to the boundary problem of Markov processes. In this paper the author decompose the resolvent by the use of the boundary process and excursion measure. Therefore, it’s very easy to see it’s probabihtical meaning. The important of this theorem is ont in itself; but it’s one of the effective tools in the constructive theory for Markov Processes.

Related Dissertations

  1. The Exitence and Algorithm of Solution for Variational Inequality and Variational Inclusion,O178
  2. Rondom Variational Inequality and Its Application,O178
  3. Densely defined closed circle Toeplitz operators,O177
  4. Densely defined on the unit disk and generalized Toeplitz operator Wiener Theorem,O177
  5. The Construction of Right Processes,O211.62
  6. Kendall’s Conjecture on One-order Q-process,O211.62
  7. The Construction of Probabilitic Birth and Death Process,O211.62
  8. The Local Time of Right Processes on the Boundary,O211.62
  9. Motoo Theory of a Class of Right Processes,O211.62
  10. The Construction of Uni-lateral Birth and Death Process,O211.62
  11. The Ergodicity in a Class of Non-minimal Birth-Death Processes,O211.62
  12. Multiple Points Excursion Theory of Markov Chains,O211.62
  13. The Splitting Algorithms and Resolvent Dynamic Systems for Monotone Inclusions,O224
  14. Spectral Theory of Self-adjoint Subspaces,O177
  15. Properties of Solution of Nonautonomous Linear Volterra Equations,O175.6
  16. Studies on Almost Periodicity and Almost Automorphicity of Nonlinear Equations,O241.7
  17. Numerical Methods for the Eigenvalues of Delay Differential Equations,O175.9
  18. Operator Semigroup and Nonlocal Abstract Cauchy Problem,O152.7
  19. Some Analysis Properties of Markov Process,O211.62
  20. On a New System of Generalized Nonlinear Variational Inclusions,O177.91

CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Theory of probability ( probability theory, probability theory ) > Random process > Markov process
© 2012 www.DissertationTopic.Net  Mobile