Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Min-zhi Zhao"'
Publikováno v:
Science China Mathematics. 63:1153-1168
Inspired by Benjamini et al. (2010) and Windisch (2010), we consider the entropy of the random walk ranges Rn formed by the first n steps of a random walk S on a discrete group. In this setting, we show the existence of $$h_R :={\lim}_{n\rightarrow\i
Autor:
Min Zhi Zhao1 greenzmz@sohu.com, Jian Gang Ying2 jgying@fudan.edu.cn
Publikováno v:
Acta Mathematica Sinica. Sep2006, Vol. 22 Issue 5, p1413-1424. 12p.
Publikováno v:
Acta Mathematica Sinica, English Series. 29:331-344
Let {X n } be a Markov chain with transition probability $$p_{ij} = a_{j - (i - 1)^ + } ,\forall i,j \geqslant 0$$ , where a j = 0 provided j < 0, a 0 > 0, a 0 + a 1 < 1 and Σ =0 ∞ a n = 1. Let µ = Σ =1 ∞ na n . It is known that {X n } is posi
Autor:
Qi-Man Shao, Min Zhi Zhao
Publikováno v:
Acta Mathematica Sinica, English Series. 27:329-338
Choose m numbers from the set {1, 2, …, n} at random without replacement. In this paper we first establish the limiting distribution of the longest length of consecutive integers and then apply the result to test randomness of selecting numbers wit
Publikováno v:
Applied Mathematics-A Journal of Chinese Universities. 24:389-392
This paper gives a characterization of a Hunt process path by the first exit left limit distribution. It is also showed that if the first exit left limit distribution leaving any ball from the center is a uniform distribution on the sphere, then the
Autor:
Min-Zhi Zhao, Yan-Yan Hou
Publikováno v:
Bulletin of the Australian Mathematical Society. 79:201-212
Let Xi be transient βi-stable processes on ℝdi, i=1,2. Assume further that X1 and X2 are independent. We shall find the exact Hausdorff measure function for the product sets R1(1)×R2(1), where $R_1(1)\break \times R_2(1)=\{(X_1(t_1), X_2(t_2))\mi
Autor:
Hui Zeng Zhang, Min Zhi Zhao
Publikováno v:
Acta Mathematica Sinica, English Series. 23:111-126
Transience and recurrence are among the most important concepts in Markov processes. In this paper, we study the transience and recurrence for right processes with a given weight function, and characterize them by potentials, excessive functions, fir
Autor:
Mengwei Jin, Min-zhi Zhao
Publikováno v:
Applied Mathematics-A Journal of Chinese Universities. 17:465-472
In this article the notion of quasi-symmetryis introduced. It is proved that the quasi-symmetry is equivalent to the uniqueness of invariant measure of Levy processes in some sense. Moreover, the relationship between ratio limits and invariant measur
Autor:
Yan-Yan Hou, Min-Zhi Zhao
Publikováno v:
Bulletin of the Australian Mathematical Society; Apr2009, Vol. 79 Issue 2, p201-212, 12p