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Author ID: liu.wen Recent zbMATH articles by "Liu, Wen"
Published as: Liu, Wen
Documents Indexed: 104 Publications since 1977
Reviewing Activity: 43 Reviews
Co-Authors: 16 Co-Authors with 62 Joint Publications
609 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 177 times in 102 Documents Cited by Year
An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains. Zbl 0861.60042
Liu, Wen; Yang, Weiguo
31
1996
Strong law of large numbers for Markov chains field on a Bethe tree. Zbl 0981.60064
Yang, Weiguo; Liu, Wen
23
2000
The asymptotic equipartition property for \(m\)th-order nonhomogeneous Markov information sources. Zbl 1319.60066
Yang, Weiguo; Liu, Wen
21
2004
The Markov approximation of the sequences of \(N\)-valued random variables and a class of small deviation theorems. Zbl 1051.94005
Liu, Wen; Yang, Weiguo
20
2000
The Markov approximation of the random fields on Cayley trees and a class of small deviation theorems. Zbl 1116.60343
Liu, Wen; Wang, Liying
9
2003
A class of strong limit theorems for the sequences of arbitrary random variables. Zbl 1113.60303
Liu, Wen; Yang, Weiguo
8
2003
Strong law of large numbers and Shannon-McMillan theorem for Markov chain fields on trees. Zbl 1059.94003
Yang, Weiguo; Liu, Wen
8
2002
On the strong law of large numbers for functionals of countable nonhomogeneous Markov chains. Zbl 0799.60027
Liu, Guoxin; Liu, Wen
7
1994
An approach to construct the singular monotone functions by using Markov chains. Zbl 0930.26004
Liu, Wen
6
1998
Some strong limit theorems for Markov chain fields on trees. Zbl 1109.60029
Liu, Wen; Yang, Weiguo
6
2004
Strong law of large numbers and Shannon-McMillan theorem for Markov chains field on Cayley tree. Zbl 0994.60069
Yang, Weiguo; Liu, Wen
4
2001
A strong limit theorem expressed by inequalities for the sequences of absolutely continuous random variables. Zbl 1016.60035
Liu, Wen; Wang, Yujin
4
2002
A limit theorem for the entropy density of nonhomogeneous Markov information source. Zbl 0833.60034
Liu, Wen; Yang, Weiguo
3
1995
A limit theorem for partial sums of random variables and its applications. Zbl 1116.60322
Liu, Wen; Yan, Jia-an; Yang, Weiguo
3
2003
A limit property of random conditional probabilities. Zbl 0964.60032
Liu, Wen
2
2000
An extension of a theorem on gambling systems. Zbl 0849.60024
Liu, Wen; Wang, Zhongzhi
2
1995
A class of strong laws for functionals of countable nonhomogeneous Markov chains. Zbl 0810.60062
Liu, Wen; Liu, Guoxin
2
1995
A class of continuous functions. Zbl 0445.26002
Liu, Wen
2
1977
Some strong limit theorems relative to the geometric average of random transition probabilities of arbitrary finite nonhomogeneous Markov chains. Zbl 0814.60027
Liu, Wen
2
1994
A strong limit theorem on gambling systems. Zbl 1016.60033
Liu, Wen; Wang, Jinting
2
2003
A strong limit theorem for the harmonic mean of the random transition probabilities of finite nonhomogeneous Markov chains. Zbl 0964.60024
Liu, Wen
1
2000
Constructing the space filling curve by using the Cantor series. Zbl 0839.26007
Liu, Wen
1
1995
A limit property of random conditional probabilities and an approach of conditional moment generating function. Zbl 1017.60036
Liu, Wen
1
2000
The limit properties of a class of averages of functions of two variables of arbitrary information sources. Zbl 1050.94513
Liu, Wen; Yang, Weiguo
1
1995
A nowhere differentiable continuous function. Zbl 0998.26008
Liu, Wen
1
2000
Some extensions of Shannon-McMillan theorem. Zbl 0930.94013
Liu, Wen; Yang, Weiguo
1
1996
Some properties of the relative entropy density of arbitrary information source. Zbl 0709.94008
Liu, Wen
1
1990
An analytic technique to prove Borel’s strong law of large numbers. Zbl 0746.60031
Liu, Wen
1
1991
The comparison between arbitrary information sources and nonhomogeneous Markov information sources and the small deviations theorems. Zbl 1053.94541
Liu, Wen; Yang, Weiguo
1
1997
A class of small deviation theorems for the sequences of nonnegative integer-valued random variables. Zbl 0891.60040
Liu, Wen
1
1997
Some limit properties of the multivariate function sequences of discrete random variables. Zbl 1016.60034
Liu, Wen
1
2003
A nowhere differentiable continuous function constructed using Cantor series. Zbl 1002.26005
Liu, Wen
1
2001
The asymptotic equipartition property for \(m\)th-order nonhomogeneous Markov information sources. Zbl 1319.60066
Yang, Weiguo; Liu, Wen
21
2004
Some strong limit theorems for Markov chain fields on trees. Zbl 1109.60029
Liu, Wen; Yang, Weiguo
6
2004
The Markov approximation of the random fields on Cayley trees and a class of small deviation theorems. Zbl 1116.60343
Liu, Wen; Wang, Liying
9
2003
A class of strong limit theorems for the sequences of arbitrary random variables. Zbl 1113.60303
Liu, Wen; Yang, Weiguo
8
2003
A limit theorem for partial sums of random variables and its applications. Zbl 1116.60322
Liu, Wen; Yan, Jia-an; Yang, Weiguo
3
2003
A strong limit theorem on gambling systems. Zbl 1016.60033
Liu, Wen; Wang, Jinting
2
2003
Some limit properties of the multivariate function sequences of discrete random variables. Zbl 1016.60034
Liu, Wen
1
2003
Strong law of large numbers and Shannon-McMillan theorem for Markov chain fields on trees. Zbl 1059.94003
Yang, Weiguo; Liu, Wen
8
2002
A strong limit theorem expressed by inequalities for the sequences of absolutely continuous random variables. Zbl 1016.60035
Liu, Wen; Wang, Yujin
4
2002
Strong law of large numbers and Shannon-McMillan theorem for Markov chains field on Cayley tree. Zbl 0994.60069
Yang, Weiguo; Liu, Wen
4
2001
A nowhere differentiable continuous function constructed using Cantor series. Zbl 1002.26005
Liu, Wen
1
2001
Strong law of large numbers for Markov chains field on a Bethe tree. Zbl 0981.60064
Yang, Weiguo; Liu, Wen
23
2000
The Markov approximation of the sequences of \(N\)-valued random variables and a class of small deviation theorems. Zbl 1051.94005
Liu, Wen; Yang, Weiguo
20
2000
A limit property of random conditional probabilities. Zbl 0964.60032
Liu, Wen
2
2000
A strong limit theorem for the harmonic mean of the random transition probabilities of finite nonhomogeneous Markov chains. Zbl 0964.60024
Liu, Wen
1
2000
A limit property of random conditional probabilities and an approach of conditional moment generating function. Zbl 1017.60036
Liu, Wen
1
2000
A nowhere differentiable continuous function. Zbl 0998.26008
Liu, Wen
1
2000
An approach to construct the singular monotone functions by using Markov chains. Zbl 0930.26004
Liu, Wen
6
1998
The comparison between arbitrary information sources and nonhomogeneous Markov information sources and the small deviations theorems. Zbl 1053.94541
Liu, Wen; Yang, Weiguo
1
1997
A class of small deviation theorems for the sequences of nonnegative integer-valued random variables. Zbl 0891.60040
Liu, Wen
1
1997
An extension of Shannon-McMillan theorem and some limit properties for nonhomogeneous Markov chains. Zbl 0861.60042
Liu, Wen; Yang, Weiguo
31
1996
Some extensions of Shannon-McMillan theorem. Zbl 0930.94013
Liu, Wen; Yang, Weiguo
1
1996
A limit theorem for the entropy density of nonhomogeneous Markov information source. Zbl 0833.60034
Liu, Wen; Yang, Weiguo
3
1995
An extension of a theorem on gambling systems. Zbl 0849.60024
Liu, Wen; Wang, Zhongzhi
2
1995
A class of strong laws for functionals of countable nonhomogeneous Markov chains. Zbl 0810.60062
Liu, Wen; Liu, Guoxin
2
1995
Constructing the space filling curve by using the Cantor series. Zbl 0839.26007
Liu, Wen
1
1995
The limit properties of a class of averages of functions of two variables of arbitrary information sources. Zbl 1050.94513
Liu, Wen; Yang, Weiguo
1
1995
On the strong law of large numbers for functionals of countable nonhomogeneous Markov chains. Zbl 0799.60027
Liu, Guoxin; Liu, Wen
7
1994
Some strong limit theorems relative to the geometric average of random transition probabilities of arbitrary finite nonhomogeneous Markov chains. Zbl 0814.60027
Liu, Wen
2
1994
An analytic technique to prove Borel’s strong law of large numbers. Zbl 0746.60031
Liu, Wen
1
1991
Some properties of the relative entropy density of arbitrary information source. Zbl 0709.94008
Liu, Wen
1
1990
A class of continuous functions. Zbl 0445.26002
Liu, Wen
2
1977
all top 5

Cited by 109 Authors

41 Yang, Weiguo
23 Shi, Zhiyan
12 Wang, Zhongzhi
10 Huang, Huilin
10 Liu, Wen
7 Peng, Weicai
7 Wang, Bei
5 Fan, Yan
4 De Amo, Enrique
4 Diaz Carrillo, Manuel
4 Fernández-Sánchez, Juan
4 Wang, Kangkang
4 Zhong, Pingping
3 Chen, Shu
3 Ding, Chengjun
3 Ding, Fangqing
2 Bao, Dan
2 Chen, Peishu
2 Chen, Shuang
2 Li, Gaorong
2 Liu, Cong
2 Song, Jing
2 Tian, Lixin
2 Wang, Hongyong
2 Zang, Qingpei
2 Zhang, Yue
1 Agarwal, Ravi P.
1 Avraham-Re’em, Nachi
1 Bai, Jianfang
1 Ban, Jungchao
1 Bao, Zhenhua
1 Barabash, Oleg V.
1 Borwein, Peter Benjamin
1 Bu, Jueping
1 Chen, Gang
1 Chen, Mengru
1 Chen, Xia
1 Chen, Yang
1 Choi, Kwok-Kwong Stephen
1 Ciesielski, Krzysztof Chris
1 Cornean, Horia D.
1 Dang, Hui
1 Dietz, Zach
1 Dong, Fengkai
1 Dong, Yan
1 Dong, Yun
1 Feng, Sanying
1 Galbete, Arkaitz
1 Gao, Rong
1 Girardin, Valerie
1 Guo, Haiying
1 Guyon, Julien
1 Hao, Ruili
1 Herbst, Ira W.
1 Hong, Jyy-I
1 Hou, Yongchao
1 Hu, Ping
1 Jiang, Haifeng
1 Kopiika, Oleg
1 Li, Yingqiu
1 Li, Yiqing
1 Liang, Faming
1 Limnios, Nikolaos
1 Lin, Ying-Fen
1 Liu, Jie
1 Liu, Wei
1 Ma, Chaoqun
1 Min, Fan
1 Moler, José Antonio
1 Musienko, Andrey I.
1 Niu, Yannan
1 O’Regan, Donal
1 Pan, Heng
1 Plo, Fernando
1 Serbenyuk, Symon Oleksandrovych
1 Sethuraman, Sunder
1 Sobchuk, Valentyn V.
1 Sørensen, Kasper S.
1 Støttrup, Benjamin B.
1 Tang, Ying
1 Wang, Jinting
1 Wang, Liying
1 Wang, Shuai
1 Wang, Suming
1 Wang, Xiaosheng
1 Wang, Xuewu
1 Weicai, Peng
1 Weiguo, Yang
1 Wong, Ngai-Ching
1 Wu, Baihui
1 Wu, Yuliang
1 Xi, Xinyue
1 Xu, Zongben
1 Yan, Jia-An
1 Yan, Li
1 Yang, Jie
1 Yang, Shanshan
1 Yang, Xue
1 Ye, Zhongxing
1 Zamrii, Iryna V.
...and 9 more Authors

Citations by Year