People

Yuichi SHIOZAWA

Email shiozawa(@math.sci.osaka-u.ac.jp)
Research
Probability Theory
Keywords Markov processes, Dirichlet forms, branching Markov processes
Office Science Building B415 (Toyonaka Campus)
URL  

My research area is probability theory. In particular, I am working on the sample path analysis for symmetric Markov processes generated by Dirichlet forms. Dirichlet form is defined as a closed Markovian bilinear form on the space of square integrable functions. The theory of Dirichlet forms plays important roles in order to construct and analyze symmetric Markov processes.

I am interested in the relation between the analytic information on Dirichlet forms and the sample path properties of symmetric Markov processes. I am also interested in the global properties of branching Markov processes, which are a mathematical model for the population growth of particles by branching.