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Shiga, Tokuzo

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Author ID: shiga.tokuzo Recent zbMATH articles by "Shiga, Tokuzo"
Published as: Shiga, T.; Shiga, Tokuza; Shiga, Tokuzo
External Links: Wikidata
Documents Indexed: 51 Publications since 1968

Publications by Year

Citations contained in zbMATH

41 Publications have been cited 678 times in 522 Documents Cited by Year
Stochastic partial differential equations for some measure-valued diffusions. Zbl 0631.60058
Konno, Norio; Shiga, T.
87
1988
Bessel diffusions as an one-parameter family of diffusion processes. Zbl 0327.60047
Shiga, Tokuzo; Watanabe, Shinzo
63
1973
Probabilistic analysis of directed polymers in a random environment: a review. Zbl 1114.82017
Comets, Francis; Shiga, Tokuzo; Yoshida, Nobuo
56
2004
Two contrasting properties of solutions for one-dimensional stochastic partial differential equations. Zbl 0801.60050
Shiga, Tokuzo
54
1994
Directed polymers in a random environment: Path localization and strong disorder. Zbl 1042.60069
Comets, Francis; Shiga, Tokuza; Yoshida, Nobuo
53
2003
Infinite dimensional stochastic differential equations and their applications. Zbl 0462.60061
Shiga, Tokuzo; Shimizu, Akinobu
48
1980
Central limit theorem for a system of Markovian particles with mean field interactions. Zbl 0607.60095
Shiga, Tokuzo; Tanaka, Hiroshi
39
1985
Lyapunov exponents for the parabolic Anderson model. Zbl 1046.60057
Cranston, M.; Mountford, T. S.; Shiga, T.
26
2002
Stepping stone models in population genetics and population dynamics. Zbl 0656.92006
Shiga, Tokuzo
19
1988
Stationary states and their stability of the stepping stone model involving mutation and selection. Zbl 0642.92008
Shiga, Tokuzo; Uchiyama, Kohei
17
1986
Diffusion processes in population genetics. Zbl 0455.92005
Shiga, Tokuzo
15
1981
A recurrence criterion for Markov processes of Ornstein-Uhlenbeck type. Zbl 0677.60088
Shiga, Tokuzo
14
1990
Measure-valued branching diffusions: Immigrations, excursions and limit theorems. Zbl 0836.60091
Li, Zenghu; Shiga, Tokuzo
13
1995
Ergodic theorems and exponential decay of sample paths for certain interacting diffusion systems. Zbl 0780.60104
Shiga, Tokuzo
13
1992
An interacting system in population genetics. Zbl 0456.92014
Shiga, Tokuzo
13
1980
Lyapunov exponent for the parabolic Anderson model with Lévy noise. Zbl 1082.60057
Cranston, M.; Mountford, T. S.; Shiga, T.
12
2005
A stochastic equation based on a Poisson system for a class of measure- valued diffusion processes. Zbl 0751.60044
Shiga, Tokuzo
12
1990
A remark on infinite-dimensional Wiener processes with interactions. Zbl 0407.60098
Shiga, Tokuzo
12
1979
An interacting system in population genetics. I. Zbl 0494.92012
Shiga, Tokuzo
9
1980
Some results on Markov processes of infinite lattice spin systems. Zbl 0369.60117
Higuchi, Yasunari; Shiga, Tokuzo
9
1975
Exponential decay rate of survival probability in a disastrous random environment. Zbl 0884.60093
Shiga, Tokuzo
7
1997
Finite and infinite systems of interacting diffusions. Zbl 0836.60106
Cox, J. T.; Greven, Andreas; Shiga, Tokuzo
7
1995
Some problems related to Gibbs states, canonical Gibbs states and Markovian time evolutions. Zbl 0384.60075
Shiga, Tokuzo
7
1977
Sample Lyapunov exponent for a class of linear Markovian systems over \(\mathbb{Z}^d\). Zbl 0908.60063
Furuoya, Tasuku; Shiga, Tokuzo
6
1998
Continuous time multi-allelic stepping stone models in population genetics. Zbl 0539.92012
Shiga, Tokuzo
6
1982
An interacting system in population genetics. II. Zbl 0494.92013
Shiga, Tokuzo
6
1980
Ergodic properties of the equilibrium process associated with infinitely many Markovian particles. Zbl 0361.60091
Shiga, Tokuzo; Takahashi, Yoichiro
6
1974
On one-dimensional stochastic differential equations with non-sticky boundary conditions. Zbl 0276.60061
Manabe, Shojiro; Shiga, Tokuzo
6
1973
Wandering phenomena in infinite-allelic diffusion models. Zbl 0489.60085
Shiga, Tokuzo
5
1982
Convergence to genetically uniform state in stepping stone models of population genetics. Zbl 0463.92011
Notohara, Morihiro; Shiga, Tokuzo
5
1980
A reversibility problem for Fleming-Viot processes. Zbl 0926.60043
Li, Zenghu; Shiga, Tokuzo; Yao, Lihua
4
1999
A certain class of infinite dimensional diffusion processes arising in population genetics. Zbl 0625.60095
Shiga, Tokuzo
4
1987
Diffusion models of temporally varying selection in population genetics. Zbl 0543.92012
Seno, Shoichiro; Shiga, Tokuzo
4
1984
On the uniqueness of solutions of stochastic differential equations with boundary conditions. Zbl 0254.60035
Nakao, Shintaro; Shiga, Tokuzo
4
1972
On Markov chains similar to the reflecting barrier Brownian motion. Zbl 0301.60044
Shiga, Tokuzo; Watanabe, Takesi
4
1968
Infinitely divisible random probability distributions with an application to a random motion in a random environment. Zbl 1127.60051
Shiga, Tokuzo; Tanaka, Hiroshi
3
2006
Existence and uniqueness of solutions for a class of nonlinear diffusion equations. Zbl 0648.35047
Shiga, Tokuzo
3
1987
A conditional limit theorem for generalized diffusion processes. Zbl 1061.60080
Li, Zenghu; Shiga, Tokuzo; Tomisaki, Matsuyo
2
2003
A Fleming-Viot process with unbounded selection. Zbl 0979.92028
Ethier, Stewart N.; Shiga, Tokuzo
2
2000
Some properties of solutions for one-dimensional SPDE’s associated with space-time white noise. Zbl 0816.60059
Shiga, Tokuzo
2
1991
Neutral allelic genealogy. Zbl 0806.92013
Ethier, S. N.; Shiga, Tokuzo
1
1994
Infinitely divisible random probability distributions with an application to a random motion in a random environment. Zbl 1127.60051
Shiga, Tokuzo; Tanaka, Hiroshi
3
2006
Lyapunov exponent for the parabolic Anderson model with Lévy noise. Zbl 1082.60057
Cranston, M.; Mountford, T. S.; Shiga, T.
12
2005
Probabilistic analysis of directed polymers in a random environment: a review. Zbl 1114.82017
Comets, Francis; Shiga, Tokuzo; Yoshida, Nobuo
56
2004
Directed polymers in a random environment: Path localization and strong disorder. Zbl 1042.60069
Comets, Francis; Shiga, Tokuza; Yoshida, Nobuo
53
2003
A conditional limit theorem for generalized diffusion processes. Zbl 1061.60080
Li, Zenghu; Shiga, Tokuzo; Tomisaki, Matsuyo
2
2003
Lyapunov exponents for the parabolic Anderson model. Zbl 1046.60057
Cranston, M.; Mountford, T. S.; Shiga, T.
26
2002
A Fleming-Viot process with unbounded selection. Zbl 0979.92028
Ethier, Stewart N.; Shiga, Tokuzo
2
2000
A reversibility problem for Fleming-Viot processes. Zbl 0926.60043
Li, Zenghu; Shiga, Tokuzo; Yao, Lihua
4
1999
Sample Lyapunov exponent for a class of linear Markovian systems over \(\mathbb{Z}^d\). Zbl 0908.60063
Furuoya, Tasuku; Shiga, Tokuzo
6
1998
Exponential decay rate of survival probability in a disastrous random environment. Zbl 0884.60093
Shiga, Tokuzo
7
1997
Measure-valued branching diffusions: Immigrations, excursions and limit theorems. Zbl 0836.60091
Li, Zenghu; Shiga, Tokuzo
13
1995
Finite and infinite systems of interacting diffusions. Zbl 0836.60106
Cox, J. T.; Greven, Andreas; Shiga, Tokuzo
7
1995
Two contrasting properties of solutions for one-dimensional stochastic partial differential equations. Zbl 0801.60050
Shiga, Tokuzo
54
1994
Neutral allelic genealogy. Zbl 0806.92013
Ethier, S. N.; Shiga, Tokuzo
1
1994
Ergodic theorems and exponential decay of sample paths for certain interacting diffusion systems. Zbl 0780.60104
Shiga, Tokuzo
13
1992
Some properties of solutions for one-dimensional SPDE’s associated with space-time white noise. Zbl 0816.60059
Shiga, Tokuzo
2
1991
A recurrence criterion for Markov processes of Ornstein-Uhlenbeck type. Zbl 0677.60088
Shiga, Tokuzo
14
1990
A stochastic equation based on a Poisson system for a class of measure- valued diffusion processes. Zbl 0751.60044
Shiga, Tokuzo
12
1990
Stochastic partial differential equations for some measure-valued diffusions. Zbl 0631.60058
Konno, Norio; Shiga, T.
87
1988
Stepping stone models in population genetics and population dynamics. Zbl 0656.92006
Shiga, Tokuzo
19
1988
A certain class of infinite dimensional diffusion processes arising in population genetics. Zbl 0625.60095
Shiga, Tokuzo
4
1987
Existence and uniqueness of solutions for a class of nonlinear diffusion equations. Zbl 0648.35047
Shiga, Tokuzo
3
1987
Stationary states and their stability of the stepping stone model involving mutation and selection. Zbl 0642.92008
Shiga, Tokuzo; Uchiyama, Kohei
17
1986
Central limit theorem for a system of Markovian particles with mean field interactions. Zbl 0607.60095
Shiga, Tokuzo; Tanaka, Hiroshi
39
1985
Diffusion models of temporally varying selection in population genetics. Zbl 0543.92012
Seno, Shoichiro; Shiga, Tokuzo
4
1984
Continuous time multi-allelic stepping stone models in population genetics. Zbl 0539.92012
Shiga, Tokuzo
6
1982
Wandering phenomena in infinite-allelic diffusion models. Zbl 0489.60085
Shiga, Tokuzo
5
1982
Diffusion processes in population genetics. Zbl 0455.92005
Shiga, Tokuzo
15
1981
Infinite dimensional stochastic differential equations and their applications. Zbl 0462.60061
Shiga, Tokuzo; Shimizu, Akinobu
48
1980
An interacting system in population genetics. Zbl 0456.92014
Shiga, Tokuzo
13
1980
An interacting system in population genetics. I. Zbl 0494.92012
Shiga, Tokuzo
9
1980
An interacting system in population genetics. II. Zbl 0494.92013
Shiga, Tokuzo
6
1980
Convergence to genetically uniform state in stepping stone models of population genetics. Zbl 0463.92011
Notohara, Morihiro; Shiga, Tokuzo
5
1980
A remark on infinite-dimensional Wiener processes with interactions. Zbl 0407.60098
Shiga, Tokuzo
12
1979
Some problems related to Gibbs states, canonical Gibbs states and Markovian time evolutions. Zbl 0384.60075
Shiga, Tokuzo
7
1977
Some results on Markov processes of infinite lattice spin systems. Zbl 0369.60117
Higuchi, Yasunari; Shiga, Tokuzo
9
1975
Ergodic properties of the equilibrium process associated with infinitely many Markovian particles. Zbl 0361.60091
Shiga, Tokuzo; Takahashi, Yoichiro
6
1974
Bessel diffusions as an one-parameter family of diffusion processes. Zbl 0327.60047
Shiga, Tokuzo; Watanabe, Shinzo
63
1973
On one-dimensional stochastic differential equations with non-sticky boundary conditions. Zbl 0276.60061
Manabe, Shojiro; Shiga, Tokuzo
6
1973
On the uniqueness of solutions of stochastic differential equations with boundary conditions. Zbl 0254.60035
Nakao, Shintaro; Shiga, Tokuzo
4
1972
On Markov chains similar to the reflecting barrier Brownian motion. Zbl 0301.60044
Shiga, Tokuzo; Watanabe, Takesi
4
1968
all top 5

Cited by 543 Authors

15 Fleischmann, Klaus
15 Li, Zenghu
14 Dawson, Donald Andrew
13 Müller, Carl E.
13 Mytnik, Leonid
11 Comets, Francis M.
11 Greven, Andreas
11 Xiong, Jie
9 Khoshnevisan, Davar
9 Perkins, Edwin A.
9 Yoshida, Nobuo
8 Cranston, Michael Craig
8 Klenke, Achim
8 Röckner, Michael
7 Etheridge, Alison Mary
7 Mountford, Thomas S.
7 Rassoul-Agha, Firas
7 Seppäläinen, Timo
6 Burdzy, Krzysztof
6 Kondrat’yev, Yuriĭ Grygorovych
6 Osada, Hirofumi
6 Quastel, Jeremy
6 Shiga, Tokuzo
6 Yor, Marc
5 Albeverio, Sergio A.
5 Cox, J. Theodore
5 den Hollander, Frank
5 Ethier, Stewart N.
5 Georgiou, Nicos
5 Graham, Carl
5 Kurtz, Thomas Gordon
5 Lacoin, Hubert
5 Méléard, Sylvie
5 Pitman, Jim William
5 Wakolbinger, Anton
5 Xi, Fubao
5 Xie, Bin
5 Zhou, Xiaowen
5 Zygouras, Nikolaos
4 Blath, Jochen
4 Corwin, Ivan
4 da Silva, Telles Timóteo
4 Del Moral, Pierre
4 Feng, Shui
4 Foondun, Mohammud
4 Fragoso, Marcelo Dutra
4 Hong, Wenming
4 Hu, Yueyun
4 Nakashima, Makoto
4 Notohara, Morihiro
4 Roelly, Sylvie
4 Sun, Rongfeng
4 Tribe, Roger P.
4 Yang, Xu
3 Alberts, Tom
3 Bates, Erik
3 Blount, Douglas
3 Bo, Lijun
3 Budhiraja, Amarjit S.
3 Caravenna, Francesco
3 Carmona, Philippe
3 Chatterjee, Sourav
3 Chen, Le
3 Dalang, Robert C.
3 Döring, Leif
3 Evans, Steven Neil
3 Handa, Kenji
3 He, Hui
3 Hutzenthaler, Martin
3 Iizuka, Masaru
3 Kawabi, Hiroshi
3 Khanin, Konstantin M.
3 Kim, Kunwoo
3 Lalley, Steven P.
3 Ma, Chunhua
3 Mano, Shuhei
3 Moreno, Gregorio
3 Ohkubo, Jun
3 Pfaffelhuber, Peter
3 Shao, Jinghai
3 Spohn, Herbert
3 Swart, Jan M.
3 Tindel, Samy
3 Viens, Frederi G.
3 Wang, Hao
3 Wang, Yongjin
3 Wu, Ruoyu
3 Yamamuro, Kouji
3 Yamazato, Makoto
3 Yilmaz, Atilla
3 Zambotti, Lorenzo
2 Alili, Larbi
2 Athreya, Siva R.
2 Baake, Ellen
2 Bai, Xiaoming
2 Barton, Nick H.
2 Borodin, Alexei
2 Chen, Xia
2 Chen, Yu-Ting
2 Chong, Carsten
...and 443 more Authors
all top 5

Cited in 113 Serials

61 Stochastic Processes and their Applications
60 The Annals of Probability
53 Probability Theory and Related Fields
26 The Annals of Applied Probability
24 Journal of Statistical Physics
16 Communications in Mathematical Physics
16 Statistics & Probability Letters
15 Journal of Theoretical Probability
14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
13 Theoretical Population Biology
9 Journal of Mathematical Biology
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Electronic Journal of Probability
7 Journal of Applied Probability
7 Journal of Functional Analysis
7 Infinite Dimensional Analysis, Quantum Probability and Related Topics
6 Journal of Mathematical Analysis and Applications
5 Journal of Differential Equations
5 Transactions of the American Mathematical Society
5 Stochastic Analysis and Applications
5 Acta Applicandae Mathematicae
5 Bulletin des Sciences Mathématiques
5 Bernoulli
4 Journal of Multivariate Analysis
4 Science in China. Series A
4 Electronic Communications in Probability
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Discrete and Continuous Dynamical Systems
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Journal of Statistical Mechanics: Theory and Experiment
3 Frontiers of Mathematics in China
3 Journal of Physics A: Mathematical and Theoretical
2 Advances in Applied Probability
2 Communications on Pure and Applied Mathematics
2 Israel Journal of Mathematics
2 Journal of Mathematical Physics
2 Letters in Mathematical Physics
2 Lithuanian Mathematical Journal
2 Stochastics
2 Reviews in Mathematical Physics
2 Applied Mathematics and Optimization
2 Illinois Journal of Mathematics
2 Inventiones Mathematicae
2 Journal of the Mathematical Society of Japan
2 Journal of Soviet Mathematics
2 Kodai Mathematical Journal
2 Mathematische Nachrichten
2 Nagoya Mathematical Journal
2 Osaka Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Chinese Science Bulletin
2 Journal of Dynamics and Differential Equations
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 NoDEA. Nonlinear Differential Equations and Applications
2 Mathematical Finance
2 International Journal of Theoretical and Applied Finance
2 Acta Mathematica Sinica. English Series
2 Stochastics
2 Science China. Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Physica A
1 Transport Theory and Statistical Physics
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Theory of Probability and its Applications
1 Acta Mathematica Vietnamica
1 The Annals of Statistics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quarterly of Applied Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Mathematical Social Sciences
1 Insurance Mathematics & Economics
1 Chinese Annals of Mathematics. Series B
1 Social Choice and Welfare
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Indagationes Mathematicae. New Series
1 Potential Analysis
1 Theory of Probability and Mathematical Statistics
1 Journal of Mathematical Sciences (New York)
1 Journal of the European Mathematical Society (JEMS)
1 Methodology and Computing in Applied Probability
1 Brazilian Journal of Probability and Statistics
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
...and 13 more Serials

Citations by Year

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