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Faculty Member@


>>List by Field@>>Research Fellowship for Young Scientists @>>Professor Emeritus
Takeda Masayoshi , Professor
¡ Research field
I am studying stochastic processes (in particular, Markov processes) and the theory of Dirichlet forms.

¡ Research of interest
My research interests are in the interplay between Dirichlet forms and Markov processes, including the asymptotic properties of symmetric Markov processes, the large deviation principle for additive functionals, branching Markov processes and some topics connected with the integrability of Feynman-Kac functionals.

¡ Expectations for students
You might image that the probability theory is a part of applied mathematics.However, the probability theory is also a part of mathematical analysis based on measure theory. You need study both in a well balanced fashion. I expect that you keep thinking the real meaning of probabilistic notions and possessing an interest in wide applications of them.

¡ Titles of masterfs theses that have been advised (partial)
  • gLarge Deviation Principle for Symmetric Markov Chainsh
  • gHarnack Inequality with respect to Jump-type Markov Operatorsh
  • gBranching Brownian Motion and Feynman-Kac Formulah
  • gAsymptotic Properties of Symmetric Stable Processes in Random Mediah

¡ Titles of doctorfs theses that have been advised
  • gDifferentiability of Spectral Functions for Smmetric Markov Processesh
  • gAsymptotic Properties of Branching Symmetric Markov Processesh
  • gL^p-Independence of Growth Bounds of Generalized Feynman-Kac Semigroupsh


Tohoku University
Faculty of Science

Division of Mathematics
Information Science