Graduate School of Science and Engineering Science of Environment and Mathematical Modeling

Research Topics

• Dirichlet forms and symmetric Markov processes
• Limiting behaviors of Markov processes

Research Contents

We investigate the global properties of symmetric Markov processes generated by regular Dirichlet forms. Our interest lies in how the analytic and geometric information determines the long time asymptotic behaviors of sample paths. We also study some functional analytic properties of Markovian semigroups associated with regular Dirichlet forms. To find the effect of the population growth, we establish the limiting behaviors of branching Markov processes as well.

Keywords

• Markov processes
• Dirichlet forms
• Branching Markov processes