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 FeynmanKac 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 masterfs theses that have been advised (partial) 

 gLarge Deviation Principle for Symmetric Markov Chainsh
 gHarnack Inequality with respect to Jumptype Markov Operatorsh
 gBranching Brownian Motion and FeynmanKac Formulah
 gAsymptotic Properties of Symmetric Stable Processes in Random Mediah

¡ 
Titles of doctorfs theses that have been advised 

 gDifferentiability of Spectral Functions for Smmetric Markov Processesh
 gAsymptotic Properties of Branching Symmetric Markov Processesh
 gL^pIndependence of Growth Bounds of Generalized FeynmanKac Semigroupsh
