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## Sato, Ken-iti

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 Author ID: sato.ken-iti Published as: Sato, Ken-iti; Sato, Ken-Iti; Sato, K.; Sato, K.-i. Homepage: http://ksato.jp/ External Links: Math-Net.Ru
 Documents Indexed: 99 Publications since 1961, including 5 Books
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#### Co-Authors

 54 single-authored 11 Maejima, Makoto 9 Yamazato, Makoto 8 Watanabe, Toshiro 3 Barndorff-Nielsen, Ole Eiler 3 Lindner, Alexander M. 3 Yamamuro, Kouji 2 Ikeda, Nobuyuki 2 Pérez-Abreu Carrión, Víctor M. 2 Rocha-Arteaga, Alfonso 2 Tanaka, Hiroshi L. 2 Ueno, Tadasi 1 Bączyk, P. 1 Choi, Gyeong Suck 1 Dobaczewski, Jacek 1 Dudek, Jozef Jon 1 Fukushima, Masatoshi 1 Gustafson, Karl Edwin 1 Kondo, Hitoshi 1 Konieczka, M. 1 Maejima, Maejima 1 Nagasawa, Masao 1 Pan, Lei 1 Satuła, W. 1 Schunck, N. 1 Steutel, Fred Willem 1 Taniguchi, Setsuo 1 Ueda, Yohei 1 Werner, T. R.
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#### Serials

 7 Journal of the Mathematical Society of Japan 5 Journal of Theoretical Probability 4 Nagoya Mathematical Journal 4 Tokyo Journal of Mathematics 3 Journal of Mathematics of Kyoto University 3 Journal of Multivariate Analysis 3 Osaka Journal of Mathematics 3 Transactions of the American Mathematical Society 3 Proceedings of the Japan Academy 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Advances in Applied Probability 2 The Annals of Probability 2 Journal of the Faculty of Science. Section I A 2 Journal of the Korean Mathematical Society 2 Statistics & Probability Letters 2 Probability and Mathematical Statistics 2 Probability Theory and Related Fields 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Bernoulli 2 Cambridge Studies in Advanced Mathematics 1 Computer Physics Communications 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Annals of the Institute of Statistical Mathematics 1 Illinois Journal of Mathematics 1 Journal of Applied Probability 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 TRU Mathematics 1 Yokohama Mathematical Journal 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Southeast Asian Bulletin of Mathematics 1 Acta Applicandae Mathematicae 1 Statistics 1 Stochastic Processes and their Applications 1 Electronic Communications in Probability 1 Kodai Mathematical Seminar Reports 1 Science Reports of the Tokyo Kyoiku Daigaku, Section A 1 Aportaciones Matemáticas: Investigación 1 Journal of the Faculty of Science. Section I 1 SpringerBriefs in Probability and Mathematical Statistics
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#### Fields

 86 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

83 Publications have been cited 2,232 times in 1,776 Documents Cited by Year
Lévy processes and infinitely divisible distributions. Zbl 0973.60001
Sato, Ken-Iti
1999
Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type. Zbl 0533.60021
Sato, Ken-iti; Yamazato, Makoto
1984
Lévy processes and infinitely divisible distributions. 2nd revised ed. Zbl 1287.60003
Sato, Ken-Iti
2013
Multi-dimensional diffusion and the Markov process on the boundary. Zbl 0219.60057
Sato, K.-i.; Ueno, T.
1965
Multivariate subordination, self-decomposability and stability. Zbl 0982.60046
Barndorff-Nielsen, Ole E.; Pedersen, Jan; Sato, Ken-iti
2001
On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures. Zbl 0756.60071
Fukushima, Masatoshi; Sato, Ken-iti; Taniguchi, Setsuo
1991
Self-similar processes with independent increments. Zbl 0725.60034
Sato, Ken-iti
1991
Some classes of multivariate infinitely divisible distributions admitting stochastic integral representations. Zbl 1102.60013
Barndorff-Nielsen, Ole E.; Maejima, Maejima; Sato, Ken-Iti
2006
Class L of multivariate distributions and its subclasses. Zbl 0425.60013
Sato, Ken-iti
1980
On distribution functions of class L. Zbl 0395.60019
Sato, Ken-iti; Yamazato, Makoto
1978
On the generators of non-negative contraction semi-groups in Banach lattices. Zbl 0167.13601
Sato, K.
1968
Semi-selfsimilar processes. Zbl 0932.60043
Maejima, Makoto; Sato, Ken-iti
1999
Subordination and self-decomposability. Zbl 0995.60046
Sato, Ken-iti
2001
Additive processes and stochastic integrals. Zbl 1103.60051
Sato, Ken-iti
2006
Topics in infinitely divisible distributions and Lévy processes. Zbl 1054.60019
Rocha-Arteaga, Alfonso; Sato, Ken-iti
2003
Stochastic integrals in additive processes and application to semi-Lévy processes. Zbl 1050.60054
Sato, Ken-iti
2004
Transformations of infinitely divisible distributions via improper stochastic integrals. Zbl 1134.60013
Sato, Ken-iti
2007
Two families of improper stochastic integrals with respect to Lévy processes. Zbl 1113.60049
Sato, Ken-iti
2006
Continuity properties and infinite divisibility of stationary distributions of some generalized Ornstein-Uhlenbeck processes. Zbl 1173.60007
Lindner, Alexander; Sato, Ken-iti
2009
Semi-Lévy processes, semi-selfsimilar additive processes, and semi-stationary Ornstein-Uhlenbeck type processes. Zbl 1066.60050
Maejima, Makoto; Sato, Ken-iti
2003
Recurrence conditions for multidimensional processes of Ornstein- Uhlenbeck type. Zbl 0815.60071
Sato, Ken-iti; Watanabe, Toshiro; Yamazato, Makoto
1994
Operator semi-selfdecomposability, $$(C,Q)$$-decomposability and related nested classes. Zbl 0947.60010
Maejima, Makoto; Sato, Ken-iti; Watanabe, Toshiro
1999
Distributions of selfsimilar and semi-selfsimilar processes with independent increments. Zbl 0955.60038
Maejima, Makoto; Sato, Ken-iti; Watanabe, Toshiro
2000
Infinite divisibility for stochastic processes and time change. Zbl 1111.60028
Barndorff-Nielsen, Ole E.; Maejima, Makoto; Sato, Ken-iti
2006
Stationary processes of Ornstein-Uhlenbeck type. Zbl 0532.60065
Sato, Ken-iti; Yamazato, Makoto
1983
Absolute continuity of multivariate distributions of class L. Zbl 0485.60010
Sato, Ken-Iti
1982
Diffusion processes and a class of Markov chains related to population genetics. Zbl 0401.60072
Sato, Ken-iti
1976
The limits of nested subclasses of several classes of infinitely divisible distributions are identical with the closure of the class of stable distributions. Zbl 1173.60307
Maejima, Makoto; Sato, Ken-iti
2009
Local times on the boundary for multidimensional reflecting diffusion. Zbl 0138.11302
Sato, K.; Tanaka, Hiroshi
1962
Completely operator-selfdecomposable distributions and operator-stable distributions. Zbl 0577.60025
Sato, Ken-Iti; Yamazato, Makoto
1985
Basic results on Lévy processes. Zbl 0974.60036
Sato, Ken-iti
2001
Some perturbation theorems for nonnegative contraction semigroups. Zbl 0182.17502
Gustafson, K.; Sato, K.-i.
1969
A note on infinitely divisible distributions and their Levy measures. Zbl 0279.60010
Sato, Ken-iti
1973
Multidimensional process of Ornstein-Uhlenbeck type with nondiagonalizable matrix in linear drift terms. Zbl 0938.60039
Sato, Ken-Iti; Watanabe, Toshiro; Yamamuro, Kouji; Yamazoto, Makoto
1996
Some properties of exponential integrals of Levy processes and examples. Zbl 1130.60060
Kondo, Hitoshi; Maejima, Makoto; Sato, Ken-Iti
2006
Properties of stationary distributions of a sequence of generalized Ornstein – Uhlenbeck processes. Zbl 1239.60010
Lindner, Alexander; Sato, Ken-Iti
2011
Cone-parameter convolution semigroups and their subordination. Zbl 1039.43004
Pedersen, Jan; Sato, Ken-iti
2003
Moments of last exit times for Lévy processes. Zbl 1053.60048
Sato, Ken-iti; Watanabe, Toshiro
2004
Relations between cone-parameter Lévy processes and convolution semigroups. Zbl 1056.60010
Pedersen, Jan; Sato, Ken-iti
2004
Monotonicity and non-monotonicity of domains of stochastic integral operators. Zbl 1106.60047
Sato, Ken-iti
2006
A class of multivariate infinitely divisible distributions related to arcsine density. Zbl 1242.60016
Maejima, Makoto; Pérez-Abreu, Víctor; Sato, Ken-Iti
2012
Strictly operator-stable distributions. Zbl 0632.60013
Sato, Ken-Iti
1987
On selfsimilar and semi-selfsimilar processes with independent increments. Zbl 0902.60032
Sato, Ken-iti; Yamamuro, Kouji
1998
Completely operator semi-selfdecomposable distributions. Zbl 0985.60014
Maejima, Makoto; Sato, Ken-iti; Watanabe, Toshiro
2000
Potential operators for Markov processes. Zbl 0276.60072
Sato, Ken-Iti
1972
A class of Markov chains related to selection in population genetics. Zbl 0365.60058
Sato, Ken-iti
1976
Fractional integrals and extensions of selfdecomposability. Zbl 1222.60019
Sato, Ken-iti
2010
Description of limits of ranges of iterations of stochastic integral mappings of infinitely divisible distributions. Zbl 1276.60016
Sato, Ken-iti
2011
A note on nonlinear dispersive operators. Zbl 0256.47048
Sato, Ken-iti
1972
Weak drifts of infinitely divisible distributions and their applications. Zbl 1283.60023
Sato, Ken-iti; Ueda, Yohei
2013
Distributions of class $$L$$ and self-similar processes with independent increments. Zbl 0817.60038
Sato, Ken-iti
1990
Convergence to a diffusion of a multi-allelic model in population genetics. Zbl 0397.60067
Sato, Ken-Iti
1978
Last exit times for transient semistable processes. Zbl 1086.60028
Sato, Ken-iti; Watanabe, Toshiro
2005
A note on infinitesimal generators and potential operators of contraction semigroups. Zbl 0252.47037
Sato, Ken-iti
1972
Behavior of modes of a class of processes with independent increments. Zbl 0611.60064
Sato, Ken-iti
1986
Bounds of modes and unimodal processes with independent increments. Zbl 0613.60065
Sato, Ken-Iti
1986
Limit diffusions of some stepping-stone models. Zbl 0534.60074
Sato, Ken-Iti
1983
A time reversion of Markov processes with killing. Zbl 0133.10801
Ikeda, Nobuyuki; Nagasawa, M.; Sato, K.
1964
Convolution of unimodal distributions can produce any number of modes. Zbl 0788.60024
Sato, Ken-Iti
1993
Multivariate distributions with selfdecomposable projections. Zbl 0915.60024
Sato, Ken-iti
1998
Inversions of infinitely divisible distributions and conjugates of stochastic integral mappings. Zbl 1301.60018
Sato, Ken-iti
2013
Modes and moments of unimodal distributions. Zbl 0633.60023
Sato, Ken-Iti
1987
On higher derivatives of distribution functions of class L. Zbl 0488.60025
Sato, Ken-iti; Yamazato, Makoto
1981
Semi-stable processes and their extensions. Zbl 1171.60345
Sato, Ken-iti
1999
Time change and killing for multi-dimensional reflecting diffusion. Zbl 0132.38602
Sato, K.
1963
On dispersive operators in Banach lattices. Zbl 0199.19003
Sato, Ken-iti
1970
On unimodality and mode behavior of Lévy processes. Zbl 0817.60079
Sato, Ken-iti
1992
Time evolution in distributions of Lévy processes. Zbl 0843.60066
Sato, Ken-iti
1995
Recurrence and transience of operator semi-stable processes. Zbl 0842.60073
Choi, Gyeong Suck; Sato, Ken-iti
1995
Diffusion operators in population genetics and convergence of Markov chains. Zbl 0414.60075
Sato, Ken-iti
1978
Criteria of weak and strong transience for Lévy processes. Zbl 0963.60043
Sato, Ken-Iti
1996
Time evolution of Lévy processes. Zbl 1010.60042
Sato, Ken-iti
1997
Semigroups and processes with parameter in a cone. Zbl 1064.60010
Pedersen, Jan; Sato, Ken-iti
2004
Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type. Zbl 0487.60030
Sato, Ken-iti; Yamazato, Makoto
1982
On quasi-infinitely divisible distributions. Zbl 1428.60034
Lindner, Alexander; Pan, Lei; Sato, Ken-Iti
2018
On zeros of a system of polynommials and application to sojourn time distributions of birth-and-death processes. Zbl 0652.60027
Sato, Ken-Iti
1988
Integration of the generalized Kolmogorov-Feller backward equations. Zbl 0214.16603
Sato, K.
1961
Note on the continuation of infinitely divisible distributions and canonical measures. Zbl 0932.60016
Sato, Ken-iti; Steutel, Fred W.
1998
Multimodal convolutions of unimodal infinitely divisible distributions. Zbl 0834.60018
Sato, K.
1994
The class of distributions of periodic Ornstein-Uhlenbeck processes driven by Lévy processes. Zbl 1067.60014
Pedersen, Jan; Sato, Ken-Iti
2005
Lévy measures for a class of Markov semigroups in one dimension. Zbl 0225.46047
Sato, Ken-iti
1970
Topics in infinitely divisible distributions and Lévy processes. Revised edition. Zbl 07076343
Rocha-Arteaga, Alfonso; Sato, Ken-iti
2019
Lévy measures involving a generalized form of fractional integrals. Zbl 1308.60058
Maejima, Makoto; Pérez-Abreu, Víctor; Sato, Ken-Iti
2013
Topics in infinitely divisible distributions and Lévy processes. Revised edition. Zbl 07076343
Rocha-Arteaga, Alfonso; Sato, Ken-iti
2019
On quasi-infinitely divisible distributions. Zbl 1428.60034
Lindner, Alexander; Pan, Lei; Sato, Ken-Iti
2018
Lévy processes and infinitely divisible distributions. 2nd revised ed. Zbl 1287.60003
Sato, Ken-Iti
2013
Weak drifts of infinitely divisible distributions and their applications. Zbl 1283.60023
Sato, Ken-iti; Ueda, Yohei
2013
Inversions of infinitely divisible distributions and conjugates of stochastic integral mappings. Zbl 1301.60018
Sato, Ken-iti
2013
Lévy measures involving a generalized form of fractional integrals. Zbl 1308.60058
Maejima, Makoto; Pérez-Abreu, Víctor; Sato, Ken-Iti
2013
A class of multivariate infinitely divisible distributions related to arcsine density. Zbl 1242.60016
Maejima, Makoto; Pérez-Abreu, Víctor; Sato, Ken-Iti
2012
Properties of stationary distributions of a sequence of generalized Ornstein – Uhlenbeck processes. Zbl 1239.60010
Lindner, Alexander; Sato, Ken-Iti
2011
Description of limits of ranges of iterations of stochastic integral mappings of infinitely divisible distributions. Zbl 1276.60016
Sato, Ken-iti
2011
Fractional integrals and extensions of selfdecomposability. Zbl 1222.60019
Sato, Ken-iti
2010
Continuity properties and infinite divisibility of stationary distributions of some generalized Ornstein-Uhlenbeck processes. Zbl 1173.60007
Lindner, Alexander; Sato, Ken-iti
2009
The limits of nested subclasses of several classes of infinitely divisible distributions are identical with the closure of the class of stable distributions. Zbl 1173.60307
Maejima, Makoto; Sato, Ken-iti
2009
Transformations of infinitely divisible distributions via improper stochastic integrals. Zbl 1134.60013
Sato, Ken-iti
2007
Some classes of multivariate infinitely divisible distributions admitting stochastic integral representations. Zbl 1102.60013
Barndorff-Nielsen, Ole E.; Maejima, Maejima; Sato, Ken-Iti
2006
Additive processes and stochastic integrals. Zbl 1103.60051
Sato, Ken-iti
2006
Two families of improper stochastic integrals with respect to Lévy processes. Zbl 1113.60049
Sato, Ken-iti
2006
Infinite divisibility for stochastic processes and time change. Zbl 1111.60028
Barndorff-Nielsen, Ole E.; Maejima, Makoto; Sato, Ken-iti
2006
Some properties of exponential integrals of Levy processes and examples. Zbl 1130.60060
Kondo, Hitoshi; Maejima, Makoto; Sato, Ken-Iti
2006
Monotonicity and non-monotonicity of domains of stochastic integral operators. Zbl 1106.60047
Sato, Ken-iti
2006
Last exit times for transient semistable processes. Zbl 1086.60028
Sato, Ken-iti; Watanabe, Toshiro
2005
The class of distributions of periodic Ornstein-Uhlenbeck processes driven by Lévy processes. Zbl 1067.60014
Pedersen, Jan; Sato, Ken-Iti
2005
Stochastic integrals in additive processes and application to semi-Lévy processes. Zbl 1050.60054
Sato, Ken-iti
2004
Moments of last exit times for Lévy processes. Zbl 1053.60048
Sato, Ken-iti; Watanabe, Toshiro
2004
Relations between cone-parameter Lévy processes and convolution semigroups. Zbl 1056.60010
Pedersen, Jan; Sato, Ken-iti
2004
Semigroups and processes with parameter in a cone. Zbl 1064.60010
Pedersen, Jan; Sato, Ken-iti
2004
Topics in infinitely divisible distributions and Lévy processes. Zbl 1054.60019
Rocha-Arteaga, Alfonso; Sato, Ken-iti
2003
Semi-Lévy processes, semi-selfsimilar additive processes, and semi-stationary Ornstein-Uhlenbeck type processes. Zbl 1066.60050
Maejima, Makoto; Sato, Ken-iti
2003
Cone-parameter convolution semigroups and their subordination. Zbl 1039.43004
Pedersen, Jan; Sato, Ken-iti
2003
Multivariate subordination, self-decomposability and stability. Zbl 0982.60046
Barndorff-Nielsen, Ole E.; Pedersen, Jan; Sato, Ken-iti
2001
Subordination and self-decomposability. Zbl 0995.60046
Sato, Ken-iti
2001
Basic results on Lévy processes. Zbl 0974.60036
Sato, Ken-iti
2001
Distributions of selfsimilar and semi-selfsimilar processes with independent increments. Zbl 0955.60038
Maejima, Makoto; Sato, Ken-iti; Watanabe, Toshiro
2000
Completely operator semi-selfdecomposable distributions. Zbl 0985.60014
Maejima, Makoto; Sato, Ken-iti; Watanabe, Toshiro
2000
Lévy processes and infinitely divisible distributions. Zbl 0973.60001
Sato, Ken-Iti
1999
Semi-selfsimilar processes. Zbl 0932.60043
Maejima, Makoto; Sato, Ken-iti
1999
Operator semi-selfdecomposability, $$(C,Q)$$-decomposability and related nested classes. Zbl 0947.60010
Maejima, Makoto; Sato, Ken-iti; Watanabe, Toshiro
1999
Semi-stable processes and their extensions. Zbl 1171.60345
Sato, Ken-iti
1999
On selfsimilar and semi-selfsimilar processes with independent increments. Zbl 0902.60032
Sato, Ken-iti; Yamamuro, Kouji
1998
Multivariate distributions with selfdecomposable projections. Zbl 0915.60024
Sato, Ken-iti
1998
Note on the continuation of infinitely divisible distributions and canonical measures. Zbl 0932.60016
Sato, Ken-iti; Steutel, Fred W.
1998
Time evolution of Lévy processes. Zbl 1010.60042
Sato, Ken-iti
1997
Multidimensional process of Ornstein-Uhlenbeck type with nondiagonalizable matrix in linear drift terms. Zbl 0938.60039
Sato, Ken-Iti; Watanabe, Toshiro; Yamamuro, Kouji; Yamazoto, Makoto
1996
Criteria of weak and strong transience for Lévy processes. Zbl 0963.60043
Sato, Ken-Iti
1996
Time evolution in distributions of Lévy processes. Zbl 0843.60066
Sato, Ken-iti
1995
Recurrence and transience of operator semi-stable processes. Zbl 0842.60073
Choi, Gyeong Suck; Sato, Ken-iti
1995
Recurrence conditions for multidimensional processes of Ornstein- Uhlenbeck type. Zbl 0815.60071
Sato, Ken-iti; Watanabe, Toshiro; Yamazato, Makoto
1994
Multimodal convolutions of unimodal infinitely divisible distributions. Zbl 0834.60018
Sato, K.
1994
Convolution of unimodal distributions can produce any number of modes. Zbl 0788.60024
Sato, Ken-Iti
1993
On unimodality and mode behavior of Lévy processes. Zbl 0817.60079
Sato, Ken-iti
1992
On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures. Zbl 0756.60071
Fukushima, Masatoshi; Sato, Ken-iti; Taniguchi, Setsuo
1991
Self-similar processes with independent increments. Zbl 0725.60034
Sato, Ken-iti
1991
Distributions of class $$L$$ and self-similar processes with independent increments. Zbl 0817.60038
Sato, Ken-iti
1990
On zeros of a system of polynommials and application to sojourn time distributions of birth-and-death processes. Zbl 0652.60027
Sato, Ken-Iti
1988
Strictly operator-stable distributions. Zbl 0632.60013
Sato, Ken-Iti
1987
Modes and moments of unimodal distributions. Zbl 0633.60023
Sato, Ken-Iti
1987
Behavior of modes of a class of processes with independent increments. Zbl 0611.60064
Sato, Ken-iti
1986
Bounds of modes and unimodal processes with independent increments. Zbl 0613.60065
Sato, Ken-Iti
1986
Completely operator-selfdecomposable distributions and operator-stable distributions. Zbl 0577.60025
Sato, Ken-Iti; Yamazato, Makoto
1985
Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type. Zbl 0533.60021
Sato, Ken-iti; Yamazato, Makoto
1984
Stationary processes of Ornstein-Uhlenbeck type. Zbl 0532.60065
Sato, Ken-iti; Yamazato, Makoto
1983
Limit diffusions of some stepping-stone models. Zbl 0534.60074
Sato, Ken-Iti
1983
Absolute continuity of multivariate distributions of class L. Zbl 0485.60010
Sato, Ken-Iti
1982
Operator-selfdecomposable distributions as limit distributions of processes of Ornstein-Uhlenbeck type. Zbl 0487.60030
Sato, Ken-iti; Yamazato, Makoto
1982
On higher derivatives of distribution functions of class L. Zbl 0488.60025
Sato, Ken-iti; Yamazato, Makoto
1981
Class L of multivariate distributions and its subclasses. Zbl 0425.60013
Sato, Ken-iti
1980
On distribution functions of class L. Zbl 0395.60019
Sato, Ken-iti; Yamazato, Makoto
1978
Convergence to a diffusion of a multi-allelic model in population genetics. Zbl 0397.60067
Sato, Ken-Iti
1978
Diffusion operators in population genetics and convergence of Markov chains. Zbl 0414.60075
Sato, Ken-iti
1978
Diffusion processes and a class of Markov chains related to population genetics. Zbl 0401.60072
Sato, Ken-iti
1976
A class of Markov chains related to selection in population genetics. Zbl 0365.60058
Sato, Ken-iti
1976
A note on infinitely divisible distributions and their Levy measures. Zbl 0279.60010
Sato, Ken-iti
1973
Potential operators for Markov processes. Zbl 0276.60072
Sato, Ken-Iti
1972
A note on nonlinear dispersive operators. Zbl 0256.47048
Sato, Ken-iti
1972
A note on infinitesimal generators and potential operators of contraction semigroups. Zbl 0252.47037
Sato, Ken-iti
1972
On dispersive operators in Banach lattices. Zbl 0199.19003
Sato, Ken-iti
1970
Lévy measures for a class of Markov semigroups in one dimension. Zbl 0225.46047
Sato, Ken-iti
1970
Some perturbation theorems for nonnegative contraction semigroups. Zbl 0182.17502
Gustafson, K.; Sato, K.-i.
1969
On the generators of non-negative contraction semi-groups in Banach lattices. Zbl 0167.13601
Sato, K.
1968
Multi-dimensional diffusion and the Markov process on the boundary. Zbl 0219.60057
Sato, K.-i.; Ueno, T.
1965
A time reversion of Markov processes with killing. Zbl 0133.10801
Ikeda, Nobuyuki; Nagasawa, M.; Sato, K.
1964
Time change and killing for multi-dimensional reflecting diffusion. Zbl 0132.38602
Sato, K.
1963
Local times on the boundary for multidimensional reflecting diffusion. Zbl 0138.11302
Sato, K.; Tanaka, Hiroshi
1962
Integration of the generalized Kolmogorov-Feller backward equations. Zbl 0214.16603
Sato, K.
1961
all top 5

#### Cited by 1,741 Authors

 27 Sato, Ken-iti 26 Maejima, Makoto 26 Maller, Ross Arthur 22 Barndorff-Nielsen, Ole Eiler 22 Duan, Jinqiao 22 Madan, Dilip B. 17 Simon, Thomas 17 Watanabe, Toshiro 16 Klüppelberg, Claudia 16 Meerschaert, Mark Marvin 15 Leonenko, Nikolai N. 15 Lindner, Alexander M. 15 Schilling, René Leander 15 Wang, Jian 14 Benth, Fred Espen 14 Levendorskiĭ, Sergeĭ Zakharovich 14 Mai, Jan-Frederik 13 Figueroa-López, José E. 13 Pardo, Juan Carlos 12 Bogdan, Krzysztof 12 Kaleta, Kamil 12 Schoutens, Wim 12 Yor, Marc 11 Behme, Anita Diana 11 Fasen, Vicky 11 Kawai, Reiichiro 11 Kim, Panki 11 Magdziarz, Marcin 11 Stelzer, Robert 11 Tankov, Peter 10 Becker-Kern, Peter 10 Kyprianou, Andreas E. 10 Masuda, Hiroki 10 Matsui, Muneya 10 Patie, Pierre 10 Pistorius, Martijn R. 10 Scherer, Matthias 10 Todorov, Viktor 10 Xiao, Yimin 9 Buchmann, Boris 9 Eberlein, Ernst W. 9 Houdré, Christian 9 Jurek, Zbigniew J. 9 Kallsen, Jan 9 Mijatović, Aleksandar 9 Pérez-Abreu Carrión, Víctor M. 9 Sandrić, Nikola 9 Taqqu, Murad S. 9 Tauchen, George E. 9 Veraart, Almut E. D. 9 Yamamuro, Kouji 9 Yamazato, Makoto 9 Zhang, Xinsheng 8 Di Nunno, Giulia 8 Grabchak, Michael 8 Grigelionis, Bronius I. 8 Grzywny, Tomasz 8 Keller-Ressel, Martin 8 Li, Zenghu 8 Linetsky, Vadim 8 Priola, Enrico 8 Rivero, Víctor Manuel 8 Rosiński, Jan 8 Vondraček, Zoran 8 Zhang, Shibin 7 Chaumont, Loïc 7 Döring, Leif 7 Hasebe, Takahiro 7 Konishi, Yoshio 7 Kwaśnicki, Mateusz 7 Mandjes, Michel Robertus Hendrikus 7 Samorodnitsky, Gennady Pinkhosovich 7 Song, Renming 7 Sztonyk, Paweł 7 Ueda, Yohei 7 Utzet, Frederic 6 Alaya, Mohamed Ben 6 Bañuelos, Rodrigo 6 Boyarchenko, Svetlana I. 6 Carr, Peter P. 6 Filipović, Damir 6 Fu, Ke’ang 6 Kella, Offer 6 Khoshnevisan, Davar 6 Kohatsu-Higa, Arturo 6 Li, Xiaofan 6 Li, Yuqiang 6 Ma, Zhi-Ming 6 Mendoza-Arriaga, Rafael 6 Mikosch, Thomas 6 Muhle-Karbe, Johannes 6 Øksendal, Bernt Karsten 6 Pakes, Anthony G. 6 Papapantoleon, Antonis 6 Pavlyukevich, Ilya 6 Proske, Frank Norbert 6 Prünster, Igor 6 Ren, Yong 6 Rüdiger, Barbara 6 Savov, Mladen Svetoslavov ...and 1,641 more Authors
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#### Cited in 302 Serials

 151 Stochastic Processes and their Applications 94 Statistics & Probability Letters 63 Journal of Theoretical Probability 61 Bernoulli 49 The Annals of Probability 47 The Annals of Applied Probability 42 Journal of Mathematical Analysis and Applications 37 Journal of Applied Probability 34 Probability Theory and Related Fields 33 Potential Analysis 31 Journal of Functional Analysis 31 Transactions of the American Mathematical Society 30 Mathematical Finance 29 Insurance Mathematics & Economics 29 International Journal of Theoretical and Applied Finance 27 Advances in Applied Probability 26 Stochastic Analysis and Applications 24 Journal of Multivariate Analysis 24 Finance and Stochastics 24 Quantitative Finance 20 Journal of Statistical Physics 20 Journal of Computational and Applied Mathematics 18 Electronic Journal of Probability 15 Lithuanian Mathematical Journal 15 Stochastics and Dynamics 15 Stochastics 14 Infinite Dimensional Analysis, Quantum Probability and Related Topics 13 Communications in Statistics. Theory and Methods 13 Proceedings of the Japan Academy 12 Proceedings of the American Mathematical Society 12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 12 Applied Mathematical Finance 11 The Annals of Statistics 11 Applied Mathematics and Computation 11 Acta Applicandae Mathematicae 11 Stochastic Models 11 Electronic Journal of Statistics 10 Journal of Econometrics 10 Journal of Mathematical Sciences (New York) 10 Statistical Inference for Stochastic Processes 10 Methodology and Computing in Applied Probability 10 Science China. Mathematics 9 Physica A 9 Nagoya Mathematical Journal 8 Scandinavian Journal of Statistics 8 Journal of Differential Equations 8 Journal of Statistical Planning and Inference 8 Mathematische Nachrichten 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Evolution Equations 7 Annals of the Institute of Statistical Mathematics 7 Kodai Mathematical Journal 7 Proceedings of the Japan Academy. Series A 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Tokyo Journal of Mathematics 6 Communications in Nonlinear Science and Numerical Simulation 6 SIAM Journal on Financial Mathematics 6 Stochastic and Partial Differential Equations. Analysis and Computations 5 Journal d’Analyse Mathématique 5 Journal of Mathematical Biology 5 Journal of Mathematical Physics 5 Chaos, Solitons and Fractals 5 Theory of Probability and its Applications 5 Annales de l’Institut Fourier 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Queueing Systems 5 Japan Journal of Industrial and Applied Mathematics 5 Theory of Probability and Mathematical Statistics 5 Bulletin des Sciences Mathématiques 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Acta Mathematica Sinica. English Series 5 Frontiers of Mathematics in China 5 Mathematics and Financial Economics 5 Annals of Finance 4 Computers & Mathematics with Applications 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Statistics 4 Sequential Analysis 4 European Journal of Operational Research 4 Journal of Statistical Computation and Simulation 4 Doklady Mathematics 4 Mathematical Methods of Operations Research 4 Extremes 4 Brazilian Journal of Probability and Statistics 4 Statistical Methods and Applications 4 Journal of the Korean Statistical Society 4 Journal of Pseudo-Differential Operators and Applications 4 Modern Stochastics. Theory and Applications 4 Probability, Uncertainty and Quantitative Risk 3 Israel Journal of Mathematics 3 Periodica Mathematica Hungarica 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Optimization 3 Osaka Journal of Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Probability and Mathematical Statistics 3 Physica D 3 Journal of Economic Dynamics & Control ...and 202 more Serials
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#### Cited in 51 Fields

 1,450 Probability theory and stochastic processes (60-XX) 350 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 284 Statistics (62-XX) 217 Partial differential equations (35-XX) 132 Operator theory (47-XX) 108 Numerical analysis (65-XX) 53 Potential theory (31-XX) 43 Functional analysis (46-XX) 41 Dynamical systems and ergodic theory (37-XX) 40 Statistical mechanics, structure of matter (82-XX) 35 Real functions (26-XX) 34 Systems theory; control (93-XX) 32 Ordinary differential equations (34-XX) 32 Biology and other natural sciences (92-XX) 30 Measure and integration (28-XX) 25 Integral equations (45-XX) 23 Special functions (33-XX) 20 Quantum theory (81-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Operations research, mathematical programming (90-XX) 14 Integral transforms, operational calculus (44-XX) 11 Abstract harmonic analysis (43-XX) 10 Combinatorics (05-XX) 9 Functions of a complex variable (30-XX) 8 Number theory (11-XX) 8 Computer science (68-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Approximations and expansions (41-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Information and communication theory, circuits (94-XX) 4 Mathematical logic and foundations (03-XX) 4 Fluid mechanics (76-XX) 4 Geophysics (86-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Sequences, series, summability (40-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)