1. It whispers of a more ergodic zone.

2. In this paper, we mainly study the ergodic sequence and its application.

3. Using quasi-stochastic property and ergodic theory of chaos, a kind of new hybrid DS/SFH spread spectrum communication scheme is presented based on VSSsynchronization technique.

4. In this paper, we prove the ergodic theorem of a stationary set valued stochastic process by the representation theorem.

5. Based on the ergodic functions, we first introduce the definition of ergodic sequence.

6. In ergodic region the motion equation can be written in Langevin equation and diffusion coefficient D can be obtained from Fokker -Planck model.

7. A novel robust image watermarking algorithm based on ergodic matrix and DWT is proposed.

8. Finally, all the results in the uniformly ergodic case can be generalized to reversible Markov processes satisfying the uniform integrability condition.

9. In this process, the ergodic property of Chaos phenomenon was used to optimize the initial population, so it could accelerate the convergence of Genetic algorithms.

10. In this paper we research mainly the ergodic property of the output time series, and we obtain the ergodic state of the output time series in the market economy conditions.

11. Weakly ergodic is a new ergodic conception on compact system.

12. For the ergodic control problem,(Sentence dictionary) a dynamical programming equation is established based on the stochastic dynamical programming principle and solved to yield the optimal control law.

13. Computations of the stationary distribution in the ergodic case and the mean queuing length and the maximum waiting time under the stationary state are also presented.

14. A method of zero-knowledge identity verification is discussed here, and the specified. scheme is put forward based on the encryption properties of the ergodic matrices over the finite field.

15. Generally, it is not easy to find the exact tail-estimation for the distribution of the minimum value in partial sum sequence of a stationary ergodic Markov chain.

16. In chapter 5, we obtain the invariant measure and the ergodic property of recurrent right processes.

17. A mathematical model of a hybrid-switched system has been built up by a two dimensional ergodic Markov process with the state-transition-rates diagram.

18. In comparison with the old definition, the new left-Laplace transformation plays the same role with the right one in studying ergodic theory.

19. In this paper, we research that the induced series of this model is geometrically ergodicity Markov chain and this model is adjoint geometrically ergodic.

20. In the third chapter, we study the rate of convergence of nonhomogeneous Markov chains and the absolute average strong ergodic.

21. In chapter 1, some preliminary knowledge in topological dynamical system and ergodic theory which will be used in this paper are reviewed.

22. Roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinite dimensional dynamical system, complex dynamical system and ergodic theory etc.

23. Chaos optimization theory is a new optimization method in recently years, and its ergodic property can be used as the optimization mechanism.

24. Theoretical analysis and simulation results show that the IAF outperforms the AF method both in ergodic capacity and SER performance.

25. In this paper we give the properties and structure of eigenfunctions and eigenvalues of the weakly ergodic homeomorphism on compact system.

26. The distribution of inhomogeneous thermo-emf along the copper-iron thermoelectrode is described as a stationary ergodic random process.

27. The paper also proves that the additional column vector is not allowed for both second order and third order ergodic matrices so constructed.

28. Lindenstrauss, the ICM citation says, "has made far-reaching advances in ergodic theory," which studies the statistical behavior of dynamical systems.

29. In this paper, by using the methods of functional analysis, the proof of an ergodic theorem was given.

30. Markov chain: discrete - time Markov chains, classification of states, ergodic, stationary distribution.

31. The authors discuss the existence of ergodic solutions of some integral equations under the assumption of ergodicity .

32. The effects of round-trip optical length fluctuation (ROLF), assumed to be an ergodic random process, on a fiber-optic ring resonator (FORR) are analyzed in detail.

33. Capacity-related issues such as outage probability, outage capacity and antennas selection based ergodic capacity for DAS are studied and simulation results are presents and analyzed.

34. In this paper, the completely ergodic Markov chain with rewards is considered. A definition of reliability in probability form is given, based on the frequency form as used in engineering.

35. Put forward a planner permutation network by using the ergodic and good relativity of Chebyshev-map chaos sequence, and the time complexity and analyzed permutation character of permutation network.