Shinzo Watanabe

发表

A comparison theorem for solutions of stochastic differential equations and its applications

N. Ikeda, Shinzo Watanabe, 1977 .

On the uniqueness of solutions of stochastic differential equations II

Shinzo Watanabe, Toshio Yamada, 1971 .

On Square Integrable Martingales

H. Kunita, Shinzo Watanabe, 1967, Nagoya Mathematical Journal.

On discontinuous additive functionals and Lévy measures of a Markov process

Shinzo Watanabe, 1964 .

Branching Markov Processes III

N. Ikeda, Shinzo Watanabe, M. Nagasawa, 1968 .

Analysis of Wiener Functionals (Malliavin Calculus) and its Applications to Heat Kernels

Shinzo Watanabe, 1987 .

On Branching Markov Processes

N. Ikeda, Shinzo Watanabe, M. Nagasawa, 1965 .

Transformation of Branching Markov Processes

N. Ikeda, Shinzo Watanabe, M. Nagasawa, 1966 .

Bessel diffusions as a one-parameter family of diffusion processes

Shinzo Watanabe, T. Shiga, 1973 .

Branching Processes with Immigration and Related Limit Theorems

Shinzo Watanabe, K. Kawazu, 1971 .

On the uniqueness of solutions of stochastic difierential equations

Shinzo Watanabe, Toshio Yamada, 1971 .

A limit theorem of branching processes and continuous state branching processes

Shinzo Watanabe, Shinzo Watanabe, 1968 .

Stochastic Processes and Applications to Mathematical Finance

Shigeyoshi Ogawa, Shinzo Watanabe, J. Akahori, 2007 .

Asymptotic Windings of Brownian Motion Paths on Riemann Surfaces

Shinzo Watanabe, 2000 .

A Fractional Calculus on Wiener Space

Shinzo Watanabe, 1993 .

Complete Integrability of the Geodesic Flows on Symmetric Spaces

Shinzo Watanabe, Kiyotaka, 1984 .

DIAGONAL TRANSFORMATIONS OF TRIANGULATION ON SURFACES DedicatedtoProfessorYukihiroKodama on his60thbirthday

Shinzo Watanabe, 1990 .

On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions

Shinzo Watanabe, 2008 .

Perturbation of drift-type for Lévy processes

Hiroshi Tanaka, Shinzo Watanabe, M. Tsuchiya, 1974 .

Asymptotic behavior of spectral measures of Krein’s and Kotani’s strings

Shinzo Watanabe, Y. Kasahara, 2010 .

Itô's stochastic calculus and its applications

Shinzo Watanabe, 2001 .

Limit theorems for point processes and their functionals

Yuji Kasahara, Shinzo Watanabe, Shinzo Watanabe, 1986 .

Remarks on Krein-Kotani’s correspondence between strings and Herglotz functions

Shinzo Watanabe, Y. Kasahara, 2009 .

On the existence and uniqueness of diffusion processes with Wentzell’s boundary conditions

Shinzo Watanabe, Satoshi Takanobu, 1988 .

Construction of diffusion processes with Wentzell's boundary conditions by means of Poisson point processes of Brownian excursions

Shinzo Watanabe, 1979 .

On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes

Nobuyuki Ikeda, Shinzo Watanabe, N. Ikeda, 1962 .

Fractional order Sobolev spaces on Wiener space

Shinzo Watanabe, 1993 .

Itô’s theory of excursion point processes and its developments

Shinzo Watanabe, Shinzo Watanabe, 2010 .

Occupation time theorems for a class of one-dimensional diffusion processes

Yuji Kasahara, Shinzo Watanabe, Shinzo Watanabe, 2005, Period. Math. Hung..

DIFFERENTIAL CALCULUS ON A BASED LOOP GROUP

Shinzo Watanabe, I. Shigekawa, 2001 .

Title A probabilistic proof of the Gauss-Bonnet-Cherntheorem for manifolds with boundary

Shinzo Watanabe, 2022 .

Donsker’s delta functions and approximation of heat kernels by the time discretization methods

Shinzo Watanabe, Yaozhong Hu, Yaozhong Hu, 1996 .

Stochastic levi sums

Shinzo Watanabe, 1994 .

Short time asymptotic problems in Wiener functional integration theory. Applications to heat kernels and index theorems

Shinzo Watanabe, 1990 .

The Japanese Contributions to Martingales

Shinzo Watanabe, 2009 .

The local structure of a class of diffusions and related problems

N. Ikeda, Shinzo Watanabe, 1973 .

On stochastic differential equations for multi-dimensional diffusion processes with boundary conditions II

Shinzo Watanabe, Shinzo Watanabe, 1971 .

On a class of additive functionals of Markov processes

Shinzo Watanabe, M. Motoo, 1965 .

Title A comparison theorem for solutions of stochasticdifferential equations and its applications

N. Ikeda, Shinzo Watanabe, 2022 .

A density formula for the law of time spent on the positive side of one-dimensional diffusion processes

Shinzo Watanabe, Yuko Yano, K. Yano, 2005 .

Generalized arc-sine laws for one-dimensional difiusion processes and random walks

Shinzo Watanabe, Shinzo Watanabe, 1993 .

Itô Calculus and Malliavin Calculus

Shinzo Watanabe, 2007 .

The existence of a multiple spider martingale in the natural filtration of a certain diffusion in the plane

Shinzo Watanabe, 1999 .

Lectures on stochastic di erential equations and Malliavin calculus

Shinzo Watanabe, 1979 .

On stable processes with boundary conditions

Shinzo Watanabe, 1962 .

Generalized wiener functionals and their applications

Shinzo Watanabe, 1988 .

Spitzer's test for the cauchy process on the line

Shinzo Watanabe, J. Takeuchi, 1964 .

A probabilistic proof of the Gauss-Bonnet-Chern theorem for manifolds with boundary

Shinzo Watanabe, I. Shigekawa, N. Ueki, 1989 .

Occupation time theorems for one-dimensional random walks and diffusion processes in random environments

Shinzo Watanabe, Y. Kasahara, 2009 .

A simple example of black noise

Shinzo Watanabe, 2001 .

An Introduction to Malliavin's Calculus

N. Ikeda, Shinzo Watanabe, 1984 .

Donsker's δ-functions in the Malliavin calculus

Shinzo Watanabe, 1991 .

Stochastic Flows of Diffeomorphisms

Shinzo Watanabe, Y. Jan, 1983 .

On the branching process for Brownian particles with an absorbing boundary

Shinzo Watanabe, Shinzo Watanabe, 1965 .

Convergence of Isotropic Scattering Transport Process to Brownian Motion

Shinzo Watanabe, Shinzo Watanabe, Toitsu Watanabe, 1970, Nagoya Mathematical Journal.

On Branching Markov Processes

N. Ikeda, Shinzo Watanabe, M. Nagasawa, 1965 .

Stochastic differential equations and diffusion processes

G. Kallianpur, N. Ikeda, Shinzo Watanabe, 1981 .

Lévy’s stochastic area formula and Brownian motion on compact Lie groups

Shinzo Watanabe, 1996 .

On time inversion of one-dimensional diffusion processes

Shinzo Watanabe, 1975 .

An asymptotic formula for the Kolmogorov diffusion and a refinement of Sinai's estimates for the integral of Brownian motion

Shinzo Watanabe, Y. Isozaki, 1994 .

A Construction of Markov Processes by Piecing Out

Shinzo Watanabe, Masao Nagasawa, Shinzo Watanabe, 1966 .