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Author ID: watanabe.shinzo Recent zbMATH articles by "Watanabe, Shinzo"
Published as: Watanabe, Shinzo; Watanabe, S.; Watanabe, Shinzô
External Links: MGP · Wikidata · GND · IdRef
all top 5

Serials

15 Journal of Mathematics of Kyoto University
7 Proceedings of the Japan Academy
3 Journal of the Mathematical Society of Japan
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 RIMS Kokyuroku
2 Communications on Pure and Applied Mathematics
2 Nagoya Mathematical Journal
2 Osaka Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Sūgaku
2 Stochastic Processes and their Applications
2 Lecture Notes in Mathematics
2 North-Holland Mathematical Library
1 Periodica Mathematica Hungarica
1 Teoriya Veroyatnosteĭ i eë Primeneniya
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
1 Annales de l’Institut Fourier
1 The Annals of Probability
1 Applied Mathematics and Optimization
1 Illinois Journal of Mathematics
1 Journal of the Faculty of Science. Section I A
1 Journal of the Korean Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Probability Theory and Related Fields
1 Sugaku Expositions
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Bulletin des Sciences Mathématiques
1 Journal Électronique d’Histoire des Probabilités et de la Statistique
1 Japanese Journal of Mathematics
1 Advanced Studies in Pure Mathematics
1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research
1 Kyoto Journal of Mathematics
1 SpringerBriefs in Probability and Mathematical Statistics
1 RIMS Kokyuroku

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 5,242 times in 4,414 Documents Cited by Year
Stochastic differential equations and diffusion processes. Zbl 0495.60005
Ikeda, Nobuyuki; Watanabe, Shinzo
1981
Stochastic differential equations and diffusion processes. 2nd ed. Zbl 0684.60040
Ikeda, Nobuyuki; Watanabe, Shinzo
1989
On the uniqueness of solutions of stochastic differential equations. Zbl 0236.60037
Yamada, Toshio; Watanabe, Shinzo
324
1971
On square integrable martingales. Zbl 0167.46602
Kunita, H.; Watanabe, S.
172
1967
A comparison theorem for solutions of stochastic differential equations and its applications. Zbl 0376.60065
Ikeda, Nobuyuki; Watanabe, Shinzo
158
1977
Lectures on stochastic differential equations and Malliavin calculus. Zbl 0546.60054
Watanabe, S.
135
1984
Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels. Zbl 0633.60077
Watanabe, Shinzo
110
1987
Branching processes with immigration and related limit theorems. Zbl 0242.60034
Kawazu, Kiyoshi; Watanabe, Shinzo
108
1971
A limit theorem of branching processes and continuous state branching processes. Zbl 0159.46201
Watanabe, S.
99
1968
Branching Markov processes. I. Zbl 0233.60068
Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo
85
1968
Bessel diffusions as an one-parameter family of diffusion processes. Zbl 0327.60047
Shiga, Tokuzo; Watanabe, Shinzo
80
1973
On some relations between the harmonic measure and the Levy measure for a certain class of Markov processes. Zbl 0118.13401
Ikeda, N.; Watanabe, S.
78
1962
Branching Markov processes. III. Zbl 0233.60070
Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo
63
1969
On discontinuous additive functionals and Levy measures of a Markov process. Zbl 0141.15703
Watanabe, S.
63
1964
On the uniqueness of solutions of stochastic differential equations. II. Zbl 0229.60039
Watanabe, Shinzo; Yamada, Toshio
61
1971
Krein’s spectral theory of strings and generalized diffusion processes. Zbl 0496.60080
Kotani, S.; Watanabe, S.
61
1982
Perturbation of drift-type for Levy processes. Zbl 0281.60064
Tanaka, Hiroshi; Tsuchiya, Masaaki; Watanabe, Shinzo
53
1974
A construction of Markov processes by piecing out. Zbl 0178.53401
Ikeda, N.; Nagasawa, M.; Watanabe, S.
50
1966
Branching Markov processes. II. Zbl 0233.60069
Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo
46
1968
On time inversion of one-dimensional diffusion processes. Zbl 0286.60035
Watanabe, Shinzo
37
1975
On the branching process for Brownian particles with an absorbing boundary. Zbl 0134.34401
Watanabe, S.
37
1965
Transformation of Markov processes by multiplicative functionals. Zbl 0141.15103
Ito, K.; Watanabe, S.
36
1965
On two dimensional Markov processes with branching property. Zbl 0209.19303
Watanabe, S.
31
1969
Generalized arc-sine laws for one-dimensional diffusion processes and random walks. Zbl 0824.60080
Watanabe, Shinzo
31
1995
On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions. Zbl 0212.20203
Watanabe, S.
31
1971
On branching Markov processes. Zbl 0224.60038
Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo
30
1965
Limit theorem for a class of branching processes. Zbl 0253.60072
Watanabe, Shinzo
29
1967
On the uniqueness and non-uniqueness of solutions of initial value problems for some quasi-linear parabolic equations. Zbl 0157.17603
Fujita, H.; Watanabe, S.
28
1968
Fractional order Sobolev spaces on Wiener space. Zbl 0792.60049
Watanabe, Shinzo
28
1993
On a class of additive functionals of Markov processes. Zbl 0137.11703
Motoo, M.; Watanabe, S.
26
1965
Stochastic differential equations and diffusion processes. (Stokhasticheskie differentsial’nye uravneniya i diffuzionnye protsessy). Transl. from the English by G. N. Kinkladze. Zbl 0607.60041
Watanabe, Shinzo; Ikeda, Nobuyuki
25
1986
Limit theorems for point processes and their functionals. Zbl 0624.60061
Kasahara, Yuji; Watanabe, Shinzo
19
1986
Asymptotic expansion formulas of the Schilder type for a class of conditional Wiener functional integrations. Zbl 0801.60020
Takanobu, S.; Watanabe, S.
17
1993
Donsker’s delta functions and approximation of heat kernels by the time discretization methods. Zbl 0883.60056
Hu, Yaozhong; Watanabe, Shinzo
16
1996
The probability functionals (Onsager-Machlup functions) of diffusion processes. Zbl 0625.60058
Takahashi, Y.; Watanabe, S.
16
1981
Fundamental equations of branching Markov processes. Zbl 0154.42701
Ikeda, N.; Nagasawa, M.; Watanabe, S.
15
1966
Stochastic flows of diffeomorphisms. Zbl 0552.60062
Le Jan, Yves; Watanabe, Shinzo
15
1984
On stable processes with boundary conditions. Zbl 0114.33504
Watanabe, S.
15
1962
An asymptotic formula for the Kolmogorov diffusion and a refinement of Sinai’s estimates for the integral of Brownian motion. Zbl 0820.60066
Isozaki, Yasuki; Watanabe, Shinzo
14
1994
The local structure of a class of diffusions and related problems. Zbl 0264.60052
Ikeda, Nobuyuki; Watanabe, Shinzo
14
1973
Malliavin’s calculus in terms of generalized Wiener functionals. Zbl 0512.60024
Watanabe, S.
13
1983
An introduction to Malliavin’s calculus. Zbl 0546.60055
Ikeda, Nobuyuki; Watanabe, Shinzo
11
1984
On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions. II. Zbl 0229.60038
Watanabe, Shinzo
10
1971
Brownian representation of a class of Lévy processes and its application to occupation times of diffusion processes. Zbl 1102.60066
Kasahara, Yuji; Watanabe, Shinzo
10
2006
Itô’s theory of excursion point processes and its developments. Zbl 1201.60052
Watanabe, Shinzo
10
2010
A density formula for the law of time spent on the positive side of one-dimensional diffusion processes. Zbl 1102.60068
Watanabe, Shinzo; Yano, Kouji; Yano, Yuko
9
2005
A limit theorem for sums of i.i.d. random variables with slowly varying tail probability. Zbl 0434.60006
Watanabe, S.
9
1980
Construction of diffusion processes with Wentzell’s boundary conditions by means of Poisson point processes of Brownian excursions. Zbl 0442.60076
Watanabe, Shinzo
9
1979
The probability functionals (Onsager-Machlup functions) of diffusion processes. Zbl 0538.58039
Takahashi, Y.; Watanabe, Shinzo
9
1981
Spitzer’s test for the Cauchy process on the line. Zbl 0146.38004
Takeuchi, Junji; Watanabe, Shinzô
9
1964
Convergence of isotropic scattering transport process to Brownian motion. Zbl 0209.19501
Watanabe, S.; Watanabe, T.
8
1970
Stochastic flows of diffeomorphisms. Zbl 0561.60079
Ikeda, Nobuyuki; Watanabe, Shinzo
8
1984
Short time asymptotic problems in Wiener functional integration theory. Applications to heat kernels and index theorems. Zbl 0723.60060
Watanabe, Shinzo
8
1990
Asymptotic behavior of spectral measures of Krein’s and Kotani’s strings. Zbl 1206.34107
Kasahara, Yuji; Watanabe, Shinzo
8
2010
Introduction to stochastic differential equations. Zbl 0405.60058
Ito, Kiyosi; Watanabe, Shinzo
7
1978
On uniqueness and non-uniqueness of solutions for a class of non-linear equations and explosion problem for branching processes. Zbl 0205.43702
Ikeda, N.; Watanabe, S.
7
1970
Malliavin calculus of Wiener functionals and its applications. Zbl 0612.60049
Ikeda, N.; Watanabe, S.
7
1986
Donsker’s \(\delta\)-functions in the Malliavin calculus. Zbl 0748.60047
Watanabe, Shinzo
6
1991
A construction of branching Markov processes. Zbl 0178.53402
Ikeda, N.; Nagasawa, M.; Watanabe, S.
6
1966
On branching semi-groups. I. Zbl 0203.18102
Ikeda, N.; Nagasawa, M.; Watanabe, S.
5
1966
Itô’s stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Zbl 0852.00016
5
1996
Invariants of one-dimensional diffusion processes and applications. Zbl 0952.60078
Watanabe, Shinzo
5
1998
The existence of a multiple spider martingale in the natural filtration of a certain diffusion in the plane. Zbl 0953.60069
Watanabe, Shinzo
4
1999
Stochastic flow and noise associated with the Tanaka stochastic differential equation. Zbl 0971.60062
Watanabe, S.
4
2000
On spectra of noises associated with Harris flows. Zbl 1064.60154
Warren, Jon; Watanabe, Shinzo
4
2004
Some refinements of Donsker’s delta functions. Zbl 0820.60036
Watanabe, S.
4
1994
On the existence and uniqueness of diffusion processes with Wentzell’s boundary conditions. Zbl 0665.60062
Takanobu, Satoshi; Watanabe, Shinzo
4
1988
Poisson point processes and their application to Markov processes. With a foreword by Shinzo Watanabe and Ichiro Shigekawa. Zbl 1337.60006
Itô, Kiyosi
4
2016
Asymptotic windings of Brownian motion paths on Riemann surfaces. Zbl 0982.60084
Watanabe, Shinzo
4
2000
On neutron branching processes. Zbl 0236.60057
Mori, Takakazu; Watanabe, Shinzo; Yamada, Toshio
3
1971
Excursion point process of diffusion and stochastic integral. Zbl 0442.60055
Watanabe, Shinzo
3
1978
Heat equation and diffusion on Riemannian manifold with boundary. Zbl 0451.60073
Ikeda, Nobuyuki; Watanabe, Shinzo
3
1978
Stochastic analysis and its applications. Zbl 0796.60058
Watanabe, Shinzo
3
1990
A convergence theorem for probability densities and conditional expectations of Wiener functionals. Zbl 0839.60054
Ren, Jiagang; Watanabe, Shinzo
3
1995
Remarks on Krein-Kotani’s correspondence between strings and Herglotz functions. Zbl 1177.47053
Kasahara, Yuji; Watanabe, Shinzo
3
2009
A probabilistic proof of the Gauss-Bonnet-Chern theorem for manifolds with boundary. Zbl 0704.58056
Shigekawa, Ichiro; Ueki, Naomasa; Watanabe, Shinzo
3
1989
Generalized Wiener functionals and their applications. Zbl 0631.60045
Watanabe, Shinzo
3
1988
A simple example of black noise. Zbl 0996.60044
Watanabe, Shinzo
2
2001
Solution of stochastic differential equations by random time change. Zbl 0326.60066
Watanabe, Shinzo
2
1975
Construction of diffusion processes by means of Poisson point process of Brownian excursions. Zbl 0387.60087
Watanabe, Shinzo
2
1976
Point processes and martingales. Zbl 0449.60054
Watanabe, Shinzo
2
1978
On branching semi-groups. II. Zbl 0203.18103
Ikeda, N.; Nagasawa, M.; Watanabe, S.
2
1966
Occupation time theorems for a class of one-dimensional diffusion processes. Zbl 1098.60080
Kasahara, Yuji; Watanabe, Shinzo
2
2005
Stochastic Levi sums. Zbl 0809.60073
Watanabe, Shinzo
2
1994
Diffusion processes and heat kernels on certain nilpotent groups. Zbl 0658.60109
Uemura, Hideaki; Watanabe, Shinzo
2
1988
The Japanese contributions to martingale theory. Zbl 1170.01387
Watanabe, Shinzo
2
2009
Stochastic flows of diffeomorphisms. Zbl 0531.60075
Watanabe, Shinzo
2
1983
Periodicity of Post’s normal process of tag. Zbl 0129.25704
Watanabe, S.
2
1963
Transformation of branching Markov processes. Zbl 0147.36702
Ikeda, N.; Nagasawa, M.; Watanabe, S.
2
1966
Occupation time theorems for one-dimensional random walks and diffusion processes in random environments. Zbl 1161.60025
Kasahara, Yuji; Watanabe, Shinzo
2
2009
Killing operations in super-diffusions by Brownian snakes. Zbl 0986.60083
Watanabe, Shinzo
1
1999
Probability theory and mathematical statistics. Proceedings of the Fifth Japan-USSR Symposium, held in Kyoto, Japan, July 8-14, 1986. Zbl 0626.00026
1
1988
Stochastic analysis. Proceedings of the Japanese-French seminar held in Paris, France, June 16–19, 1987. Zbl 0635.00012
1
1988
Some refinement of conditional expectations on Wiener space by means of Malliavin calculus. Zbl 0817.60064
Watanabe, Shinzo
1
1992
Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Zbl 0812.00013
1
1992
Disintegration problems in Wiener functional integrations. Zbl 0851.60051
Watanabe, Shinzo
1
1992
Noises, stochastic flows and \(E_0\)-semigroups. Zbl 1285.60070
Akahori, Jirô; Izumi, Masaki; Watanabe, Shinzo
1
2007
Itô’s stochastic calculus and its applications. Zbl 0980.60087
Watanabe, Shinzo
1
2001
Itô calculus and Malliavin calculus. Zbl 1141.58021
Watanabe, Shinzo
1
2007
Construction of semimartingales from pieces by the method of excursion point processes. Zbl 0622.60050
Watanabe, Shinzo
1
1987
Poisson point processes and their application to Markov processes. With a foreword by Shinzo Watanabe and Ichiro Shigekawa. Zbl 1337.60006
Itô, Kiyosi
4
2016
Itô’s theory of excursion point processes and its developments. Zbl 1201.60052
Watanabe, Shinzo
10
2010
Asymptotic behavior of spectral measures of Krein’s and Kotani’s strings. Zbl 1206.34107
Kasahara, Yuji; Watanabe, Shinzo
8
2010
Remarks on Krein-Kotani’s correspondence between strings and Herglotz functions. Zbl 1177.47053
Kasahara, Yuji; Watanabe, Shinzo
3
2009
The Japanese contributions to martingale theory. Zbl 1170.01387
Watanabe, Shinzo
2
2009
Occupation time theorems for one-dimensional random walks and diffusion processes in random environments. Zbl 1161.60025
Kasahara, Yuji; Watanabe, Shinzo
2
2009
Noises, stochastic flows and \(E_0\)-semigroups. Zbl 1285.60070
Akahori, Jirô; Izumi, Masaki; Watanabe, Shinzo
1
2007
Itô calculus and Malliavin calculus. Zbl 1141.58021
Watanabe, Shinzo
1
2007
Brownian representation of a class of Lévy processes and its application to occupation times of diffusion processes. Zbl 1102.60066
Kasahara, Yuji; Watanabe, Shinzo
10
2006
A density formula for the law of time spent on the positive side of one-dimensional diffusion processes. Zbl 1102.60068
Watanabe, Shinzo; Yano, Kouji; Yano, Yuko
9
2005
Occupation time theorems for a class of one-dimensional diffusion processes. Zbl 1098.60080
Kasahara, Yuji; Watanabe, Shinzo
2
2005
On spectra of noises associated with Harris flows. Zbl 1064.60154
Warren, Jon; Watanabe, Shinzo
4
2004
A simple example of black noise. Zbl 0996.60044
Watanabe, Shinzo
2
2001
Itô’s stochastic calculus and its applications. Zbl 0980.60087
Watanabe, Shinzo
1
2001
Stochastic flow and noise associated with the Tanaka stochastic differential equation. Zbl 0971.60062
Watanabe, S.
4
2000
Asymptotic windings of Brownian motion paths on Riemann surfaces. Zbl 0982.60084
Watanabe, Shinzo
4
2000
The existence of a multiple spider martingale in the natural filtration of a certain diffusion in the plane. Zbl 0953.60069
Watanabe, Shinzo
4
1999
Killing operations in super-diffusions by Brownian snakes. Zbl 0986.60083
Watanabe, Shinzo
1
1999
Invariants of one-dimensional diffusion processes and applications. Zbl 0952.60078
Watanabe, Shinzo
5
1998
Donsker’s delta functions and approximation of heat kernels by the time discretization methods. Zbl 0883.60056
Hu, Yaozhong; Watanabe, Shinzo
16
1996
Itô’s stochastic calculus and probability theory. Tribute dedicated to Kiyosi Itô on the occasion of his 80th birthday. Zbl 0852.00016
5
1996
Generalized arc-sine laws for one-dimensional diffusion processes and random walks. Zbl 0824.60080
Watanabe, Shinzo
31
1995
A convergence theorem for probability densities and conditional expectations of Wiener functionals. Zbl 0839.60054
Ren, Jiagang; Watanabe, Shinzo
3
1995
An asymptotic formula for the Kolmogorov diffusion and a refinement of Sinai’s estimates for the integral of Brownian motion. Zbl 0820.60066
Isozaki, Yasuki; Watanabe, Shinzo
14
1994
Some refinements of Donsker’s delta functions. Zbl 0820.60036
Watanabe, S.
4
1994
Stochastic Levi sums. Zbl 0809.60073
Watanabe, Shinzo
2
1994
Fractional order Sobolev spaces on Wiener space. Zbl 0792.60049
Watanabe, Shinzo
28
1993
Asymptotic expansion formulas of the Schilder type for a class of conditional Wiener functional integrations. Zbl 0801.60020
Takanobu, S.; Watanabe, S.
17
1993
Some refinement of conditional expectations on Wiener space by means of Malliavin calculus. Zbl 0817.60064
Watanabe, Shinzo
1
1992
Probability theory and mathematical statistics. Proceedings of the 6th USSR-Japan symposium, Kiev, USSR, 5-10 August, 1991. Zbl 0812.00013
1
1992
Disintegration problems in Wiener functional integrations. Zbl 0851.60051
Watanabe, Shinzo
1
1992
Donsker’s \(\delta\)-functions in the Malliavin calculus. Zbl 0748.60047
Watanabe, Shinzo
6
1991
Short time asymptotic problems in Wiener functional integration theory. Applications to heat kernels and index theorems. Zbl 0723.60060
Watanabe, Shinzo
8
1990
Stochastic analysis and its applications. Zbl 0796.60058
Watanabe, Shinzo
3
1990
Stochastic differential equations and diffusion processes. 2nd ed. Zbl 0684.60040
Ikeda, Nobuyuki; Watanabe, Shinzo
1989
A probabilistic proof of the Gauss-Bonnet-Chern theorem for manifolds with boundary. Zbl 0704.58056
Shigekawa, Ichiro; Ueki, Naomasa; Watanabe, Shinzo
3
1989
On the existence and uniqueness of diffusion processes with Wentzell’s boundary conditions. Zbl 0665.60062
Takanobu, Satoshi; Watanabe, Shinzo
4
1988
Generalized Wiener functionals and their applications. Zbl 0631.60045
Watanabe, Shinzo
3
1988
Diffusion processes and heat kernels on certain nilpotent groups. Zbl 0658.60109
Uemura, Hideaki; Watanabe, Shinzo
2
1988
Probability theory and mathematical statistics. Proceedings of the Fifth Japan-USSR Symposium, held in Kyoto, Japan, July 8-14, 1986. Zbl 0626.00026
1
1988
Stochastic analysis. Proceedings of the Japanese-French seminar held in Paris, France, June 16–19, 1987. Zbl 0635.00012
1
1988
Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels. Zbl 0633.60077
Watanabe, Shinzo
110
1987
Construction of semimartingales from pieces by the method of excursion point processes. Zbl 0622.60050
Watanabe, Shinzo
1
1987
Stochastic differential equations and diffusion processes. (Stokhasticheskie differentsial’nye uravneniya i diffuzionnye protsessy). Transl. from the English by G. N. Kinkladze. Zbl 0607.60041
Watanabe, Shinzo; Ikeda, Nobuyuki
25
1986
Limit theorems for point processes and their functionals. Zbl 0624.60061
Kasahara, Yuji; Watanabe, Shinzo
19
1986
Malliavin calculus of Wiener functionals and its applications. Zbl 0612.60049
Ikeda, N.; Watanabe, S.
7
1986
Lectures on stochastic differential equations and Malliavin calculus. Zbl 0546.60054
Watanabe, S.
135
1984
Stochastic flows of diffeomorphisms. Zbl 0552.60062
Le Jan, Yves; Watanabe, Shinzo
15
1984
An introduction to Malliavin’s calculus. Zbl 0546.60055
Ikeda, Nobuyuki; Watanabe, Shinzo
11
1984
Stochastic flows of diffeomorphisms. Zbl 0561.60079
Ikeda, Nobuyuki; Watanabe, Shinzo
8
1984
Malliavin’s calculus in terms of generalized Wiener functionals. Zbl 0512.60024
Watanabe, S.
13
1983
Stochastic flows of diffeomorphisms. Zbl 0531.60075
Watanabe, Shinzo
2
1983
Krein’s spectral theory of strings and generalized diffusion processes. Zbl 0496.60080
Kotani, S.; Watanabe, S.
61
1982
Stochastic differential equations and diffusion processes. Zbl 0495.60005
Ikeda, Nobuyuki; Watanabe, Shinzo
1981
The probability functionals (Onsager-Machlup functions) of diffusion processes. Zbl 0625.60058
Takahashi, Y.; Watanabe, S.
16
1981
The probability functionals (Onsager-Machlup functions) of diffusion processes. Zbl 0538.58039
Takahashi, Y.; Watanabe, Shinzo
9
1981
A limit theorem for sums of i.i.d. random variables with slowly varying tail probability. Zbl 0434.60006
Watanabe, S.
9
1980
Construction of diffusion processes with Wentzell’s boundary conditions by means of Poisson point processes of Brownian excursions. Zbl 0442.60076
Watanabe, Shinzo
9
1979
Introduction to stochastic differential equations. Zbl 0405.60058
Ito, Kiyosi; Watanabe, Shinzo
7
1978
Excursion point process of diffusion and stochastic integral. Zbl 0442.60055
Watanabe, Shinzo
3
1978
Heat equation and diffusion on Riemannian manifold with boundary. Zbl 0451.60073
Ikeda, Nobuyuki; Watanabe, Shinzo
3
1978
Point processes and martingales. Zbl 0449.60054
Watanabe, Shinzo
2
1978
A comparison theorem for solutions of stochastic differential equations and its applications. Zbl 0376.60065
Ikeda, Nobuyuki; Watanabe, Shinzo
158
1977
Construction of diffusion processes by means of Poisson point process of Brownian excursions. Zbl 0387.60087
Watanabe, Shinzo
2
1976
On time inversion of one-dimensional diffusion processes. Zbl 0286.60035
Watanabe, Shinzo
37
1975
Solution of stochastic differential equations by random time change. Zbl 0326.60066
Watanabe, Shinzo
2
1975
Perturbation of drift-type for Levy processes. Zbl 0281.60064
Tanaka, Hiroshi; Tsuchiya, Masaaki; Watanabe, Shinzo
53
1974
Bessel diffusions as an one-parameter family of diffusion processes. Zbl 0327.60047
Shiga, Tokuzo; Watanabe, Shinzo
80
1973
The local structure of a class of diffusions and related problems. Zbl 0264.60052
Ikeda, Nobuyuki; Watanabe, Shinzo
14
1973
On the uniqueness of solutions of stochastic differential equations. Zbl 0236.60037
Yamada, Toshio; Watanabe, Shinzo
324
1971
Branching processes with immigration and related limit theorems. Zbl 0242.60034
Kawazu, Kiyoshi; Watanabe, Shinzo
108
1971
On the uniqueness of solutions of stochastic differential equations. II. Zbl 0229.60039
Watanabe, Shinzo; Yamada, Toshio
61
1971
On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions. Zbl 0212.20203
Watanabe, S.
31
1971
On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions. II. Zbl 0229.60038
Watanabe, Shinzo
10
1971
On neutron branching processes. Zbl 0236.60057
Mori, Takakazu; Watanabe, Shinzo; Yamada, Toshio
3
1971
Convergence of isotropic scattering transport process to Brownian motion. Zbl 0209.19501
Watanabe, S.; Watanabe, T.
8
1970
On uniqueness and non-uniqueness of solutions for a class of non-linear equations and explosion problem for branching processes. Zbl 0205.43702
Ikeda, N.; Watanabe, S.
7
1970
Branching Markov processes. III. Zbl 0233.60070
Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo
63
1969
On two dimensional Markov processes with branching property. Zbl 0209.19303
Watanabe, S.
31
1969
A limit theorem of branching processes and continuous state branching processes. Zbl 0159.46201
Watanabe, S.
99
1968
Branching Markov processes. I. Zbl 0233.60068
Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo
85
1968
Branching Markov processes. II. Zbl 0233.60069
Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo
46
1968
On the uniqueness and non-uniqueness of solutions of initial value problems for some quasi-linear parabolic equations. Zbl 0157.17603
Fujita, H.; Watanabe, S.
28
1968
On square integrable martingales. Zbl 0167.46602
Kunita, H.; Watanabe, S.
172
1967
Limit theorem for a class of branching processes. Zbl 0253.60072
Watanabe, Shinzo
29
1967
A construction of Markov processes by piecing out. Zbl 0178.53401
Ikeda, N.; Nagasawa, M.; Watanabe, S.
50
1966
Fundamental equations of branching Markov processes. Zbl 0154.42701
Ikeda, N.; Nagasawa, M.; Watanabe, S.
15
1966
A construction of branching Markov processes. Zbl 0178.53402
Ikeda, N.; Nagasawa, M.; Watanabe, S.
6
1966
On branching semi-groups. I. Zbl 0203.18102
Ikeda, N.; Nagasawa, M.; Watanabe, S.
5
1966
On branching semi-groups. II. Zbl 0203.18103
Ikeda, N.; Nagasawa, M.; Watanabe, S.
2
1966
Transformation of branching Markov processes. Zbl 0147.36702
Ikeda, N.; Nagasawa, M.; Watanabe, S.
2
1966
On the branching process for Brownian particles with an absorbing boundary. Zbl 0134.34401
Watanabe, S.
37
1965
Transformation of Markov processes by multiplicative functionals. Zbl 0141.15103
Ito, K.; Watanabe, S.
36
1965
On branching Markov processes. Zbl 0224.60038
Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo
30
1965
On a class of additive functionals of Markov processes. Zbl 0137.11703
Motoo, M.; Watanabe, S.
26
1965
On discontinuous additive functionals and Levy measures of a Markov process. Zbl 0141.15703
Watanabe, S.
63
1964
Spitzer’s test for the Cauchy process on the line. Zbl 0146.38004
Takeuchi, Junji; Watanabe, Shinzô
9
1964
Periodicity of Post’s normal process of tag. Zbl 0129.25704
Watanabe, S.
2
1963
On some relations between the harmonic measure and the Levy measure for a certain class of Markov processes. Zbl 0118.13401
Ikeda, N.; Watanabe, S.
78
1962
On stable processes with boundary conditions. Zbl 0114.33504
Watanabe, S.
15
1962
all top 5

Cited by 3,944 Authors

40 Jiang, Daqing
39 Zhang, Xicheng
34 Zhang, Tusheng S.
33 Chen, Zhen-Qing
31 Li, Zenghu
29 Yamada, Toshihiro
27 Yor, Marc
26 Mao, Xuerong
26 Nualart, David
24 Song, Renming
23 Léandre, Rémi
22 Wang, Feng-Yu
22 Wu, Jianglun
21 Albeverio, Sergio A.
21 Brzeźniak, Zdzisław
21 Liu, Meng
21 Xiong, Jie
20 Watanabe, Shinzo
19 Dawson, Donald Andrew
18 Ouknine, Youssef
18 Qiao, Huijie
18 Ren, Jiagang
18 Röckner, Michael
18 Wang, Ke
17 Borkar, Vivek Shripad
17 Mytnik, Leonid
17 Shao, Jinghai
16 Bally, Vlad
16 Barczy, Mátyás
16 Flandoli, Franco
16 Huang, Xing
16 Takahashi, Akihiko
16 Yuan, Chenggui
15 Duan, Jinqiao
15 Hayat, Tasawar
15 Karatzas, Ioannis
15 Kohatsu-Higa, Arturo
15 Kyprianou, Andreas E.
15 Perkins, Edwin A.
14 Abundo, Mario
14 Burdzy, Krzysztof
14 Cruzeiro, Ana-Bela
14 Kasahara, Yuji
14 Kulik, Alexey M.
14 Méléard, Sylvie
14 Nagasawa, Masao
14 Proske, Frank Norbert
14 Ren, Yanxia
14 Tachim Medjo, Theodore
14 Taniguchi, Setsuo
14 Xi, Fubao
14 Zhai, Jianliang
13 Bass, Richard F.
13 Beznea, Lucian
13 Inahama, Yuzuru
13 Luo, Dejun
13 Pap, Gyula
13 Priola, Enrico
13 Ustunel, Ali Suleyman
13 Yin, Gang George
13 Zou, Xiaoling
12 Bogdan, Krzysztof
12 Fang, Shizan
12 Ikeda, Nobuyuki
12 Kifer, Yuri
12 Kunita, Hiroshi
12 Liang, Zongxia
12 Mishura, Yuliya Stepanivna
12 Ogura, Yukio
12 Scheutzow, Michael K. R.
12 Shiozawa, Yuichi
12 Taguchi, Dai
12 Yano, Kouji
12 Zambrini, Jean-Claude
11 Bogachev, Vladimir Igorevich
11 Budhiraja, Amarjit S.
11 Deugoue, Gabriel
11 Gaeta, Giuseppe
11 Gyöngy, István
11 Kim, Panki
11 Krylov, Nicolaĭ Vladimirovich
11 Kulczycki, Tadeusz
11 Le Jan, Yves
11 Mohan, Manil Thankamani
11 Nguyen Huu Du
11 Qian, Zhongmin M.
11 Rüdiger, Barbara
11 Ryznar, Michał
11 Sanz-Solé, Marta
11 Yan, Litan
11 Yoshida, Nakahiro
10 Bao, Jianhai
10 Bismut, Jean-Michel
10 Bo, Lijun
10 Cattiaux, Patrick
10 Criens, David
10 Dalang, Robert C.
10 Di Persio, Luca
10 Engelbert, Hans-Jürgen
10 Friz, Peter
...and 3,844 more Authors
all top 5

Cited in 478 Serials

372 Stochastic Processes and their Applications
191 Probability Theory and Related Fields
149 Journal of Functional Analysis
142 Stochastic Analysis and Applications
139 The Annals of Probability
113 Journal of Mathematical Analysis and Applications
96 Statistics & Probability Letters
92 Potential Analysis
91 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
87 Journal of Theoretical Probability
78 The Annals of Applied Probability
71 Transactions of the American Mathematical Society
65 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
65 Stochastics and Dynamics
64 Electronic Journal of Probability
63 Journal of Differential Equations
53 Applied Mathematics and Optimization
47 Bernoulli
42 Stochastics
38 Journal of Statistical Physics
34 Stochastics
33 Journal of Computational and Applied Mathematics
32 Infinite Dimensional Analysis, Quantum Probability and Related Topics
30 Communications in Mathematical Physics
30 Applied Mathematics and Computation
30 Bulletin des Sciences Mathématiques
29 Journal of Mathematical Physics
29 Systems & Control Letters
27 Journal of Applied Probability
27 Stochastic and Partial Differential Equations. Analysis and Computations
26 Acta Applicandae Mathematicae
25 Advances in Applied Probability
25 Journal of Mathematical Biology
23 SIAM Journal on Control and Optimization
23 Mathematical Finance
22 Journal of Mathematical Sciences (New York)
22 Discrete and Continuous Dynamical Systems. Series B
20 Journal of Multivariate Analysis
20 Electronic Communications in Probability
19 Publications of the Research Institute for Mathematical Sciences, Kyoto University
19 Insurance Mathematics & Economics
19 Acta Mathematica Sinica. English Series
19 Differential Equations
19 Advances in Difference Equations
18 Ukrainian Mathematical Journal
18 Chaos, Solitons and Fractals
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Journal of Evolution Equations
17 Lithuanian Mathematical Journal
17 Finance and Stochastics
17 Methodology and Computing in Applied Probability
17 ALEA. Latin American Journal of Probability and Mathematical Statistics
16 Physica A
16 Communications in Nonlinear Science and Numerical Simulation
16 Proceedings of the Japan Academy
15 Osaka Journal of Mathematics
15 Proceedings of the Japan Academy. Series A
15 Tôhoku Mathematical Journal. Second Series
15 Journal of Dynamics and Differential Equations
15 Theory of Probability and Mathematical Statistics
15 International Journal of Theoretical and Applied Finance
15 Asia-Pacific Financial Markets
15 Science China. Mathematics
14 Proceedings of the American Mathematical Society
14 SIAM Journal on Mathematical Analysis
14 Stochastics and Stochastics Reports
14 Monte Carlo Methods and Applications
14 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
14 Abstract and Applied Analysis
14 Quantitative Finance
13 Acta Mathematicae Applicatae Sinica. English Series
13 Journal of Nonlinear Science
13 Discrete and Continuous Dynamical Systems
13 Frontiers of Mathematics in China
12 Mathematics and Computers in Simulation
12 Mathematische Nachrichten
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Random Operators and Stochastic Equations
12 NoDEA. Nonlinear Differential Equations and Applications
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 International Journal of Biomathematics
11 Reports on Mathematical Physics
11 Journal of Optimization Theory and Applications
11 Nagoya Mathematical Journal
11 Applied Mathematics Letters
11 Mathematical Problems in Engineering
10 Mathematical Biosciences
10 Nonlinearity
10 Theory of Probability and its Applications
10 Journal of the Mathematical Society of Japan
10 Japan Journal of Industrial and Applied Mathematics
10 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
10 Journal of Physics A: Mathematical and Theoretical
9 Computers & Mathematics with Applications
9 Automatica
9 Mathematische Annalen
9 Queueing Systems
9 Nonlinear Analysis. Hybrid Systems
8 Communications on Pure and Applied Mathematics
8 Mathematical Notes
...and 378 more Serials
all top 5

Cited in 57 Fields

3,716 Probability theory and stochastic processes (60-XX)
684 Partial differential equations (35-XX)
384 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
345 Systems theory; control (93-XX)
337 Biology and other natural sciences (92-XX)
307 Ordinary differential equations (34-XX)
280 Numerical analysis (65-XX)
255 Global analysis, analysis on manifolds (58-XX)
209 Statistics (62-XX)
205 Dynamical systems and ergodic theory (37-XX)
195 Operator theory (47-XX)
151 Statistical mechanics, structure of matter (82-XX)
123 Calculus of variations and optimal control; optimization (49-XX)
114 Fluid mechanics (76-XX)
107 Quantum theory (81-XX)
87 Potential theory (31-XX)
82 Differential geometry (53-XX)
81 Functional analysis (46-XX)
58 Measure and integration (28-XX)
55 Operations research, mathematical programming (90-XX)
40 Integral equations (45-XX)
34 Real functions (26-XX)
27 Computer science (68-XX)
26 Approximations and expansions (41-XX)
24 Harmonic analysis on Euclidean spaces (42-XX)
24 Mechanics of particles and systems (70-XX)
19 Relativity and gravitational theory (83-XX)
18 Geophysics (86-XX)
16 Combinatorics (05-XX)
15 Functions of a complex variable (30-XX)
14 Topological groups, Lie groups (22-XX)
14 Difference and functional equations (39-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Special functions (33-XX)
13 Mechanics of deformable solids (74-XX)
11 Several complex variables and analytic spaces (32-XX)
11 Classical thermodynamics, heat transfer (80-XX)
9 Information and communication theory, circuits (94-XX)
8 History and biography (01-XX)
8 Number theory (11-XX)
8 Abstract harmonic analysis (43-XX)
6 Nonassociative rings and algebras (17-XX)
5 General and overarching topics; collections (00-XX)
5 Algebraic geometry (14-XX)
5 Algebraic topology (55-XX)
4 Integral transforms, operational calculus (44-XX)
4 Manifolds and cell complexes (57-XX)
3 Mathematical logic and foundations (03-XX)
3 Convex and discrete geometry (52-XX)
3 Optics, electromagnetic theory (78-XX)
2 General topology (54-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

Citations by Year

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